diff --git a/stwo_cairo_verifier/.cairofmtignore b/stwo_cairo_verifier/.cairofmtignore index 09021571..7b7a5807 100644 --- a/stwo_cairo_verifier/.cairofmtignore +++ b/stwo_cairo_verifier/.cairofmtignore @@ -1 +1 @@ -tests/verifier/proofs +*_proof.cairo diff --git a/stwo_cairo_verifier/.tool-versions b/stwo_cairo_verifier/.tool-versions index 9558a0ae..5e0dcf64 100644 --- a/stwo_cairo_verifier/.tool-versions +++ b/stwo_cairo_verifier/.tool-versions @@ -1,2 +1,2 @@ -scarb nightly-2024-11-19 +scarb nightly-2024-12-14 starknet-foundry 0.33.0 diff --git a/stwo_cairo_verifier/README.md b/stwo_cairo_verifier/README.md index dc1f1e38..66c8d83b 100644 --- a/stwo_cairo_verifier/README.md +++ b/stwo_cairo_verifier/README.md @@ -26,9 +26,9 @@ Modify [`Scarb.toml`](./Scarb.toml) to use [Starknet Foundary](https://github.co ```diff [dev-dependencies] -- cairo_test = "2.8.5" +- cairo_test = "2.9.2" + snforge_std = { git = "https://github.com/foundry-rs/starknet-foundry", tag = "v0.33.0" } -+ assert_macros = "2.8.5" ++ assert_macros = "2.9.2" + + [scripts] + test = "snforge test --max-n-steps 100000000" diff --git a/stwo_cairo_verifier/Scarb.lock b/stwo_cairo_verifier/Scarb.lock index 4932cdcd..ae59e4c9 100644 --- a/stwo_cairo_verifier/Scarb.lock +++ b/stwo_cairo_verifier/Scarb.lock @@ -6,7 +6,22 @@ name = "bounded_int" version = "0.1.0" [[package]] -name = "stwo_cairo_verifier" +name = "stwo_cairo_air" +version = "0.1.0" +dependencies = [ + "stwo_constraint_framework", + "stwo_verifier_core", +] + +[[package]] +name = "stwo_constraint_framework" +version = "0.1.0" +dependencies = [ + "stwo_verifier_core", +] + +[[package]] +name = "stwo_verifier_core" version = "0.1.0" dependencies = [ "bounded_int", diff --git a/stwo_cairo_verifier/Scarb.toml b/stwo_cairo_verifier/Scarb.toml index 440c2fac..3bd01e8f 100644 --- a/stwo_cairo_verifier/Scarb.toml +++ b/stwo_cairo_verifier/Scarb.toml @@ -1,19 +1,7 @@ [workspace] -members = ["bounded_int"] - -[package] -name = "stwo_cairo_verifier" -version = "0.1.0" -edition = "2024_07" - -[lib] -casm = true - -[tool.fmt] -sort-module-level-items = true - -[dependencies] -bounded_int = { path = "bounded_int" } - -[dev-dependencies] -cairo_test = "2.8.5" +members = [ + "crates/bounded_int", + "crates/cairo_air", + "crates/constraint_framework", + "crates/verifier_core", +] diff --git a/stwo_cairo_verifier/cairo_project.toml b/stwo_cairo_verifier/cairo_project.toml new file mode 100644 index 00000000..9111bb03 --- /dev/null +++ b/stwo_cairo_verifier/cairo_project.toml @@ -0,0 +1,11 @@ +[crate_roots] +verifier = "src" +bounded_int = "bounded_int/src" + +[config.override.verifier] +edition = "2024_07" + +[config.override.verifier.dependencies.bounded_int] + +[config.override.bounded_int] +edition = "2023_10" diff --git a/stwo_cairo_verifier/bounded_int/Scarb.toml b/stwo_cairo_verifier/crates/bounded_int/Scarb.toml similarity index 100% rename from stwo_cairo_verifier/bounded_int/Scarb.toml rename to stwo_cairo_verifier/crates/bounded_int/Scarb.toml diff --git a/stwo_cairo_verifier/bounded_int/src/lib.cairo b/stwo_cairo_verifier/crates/bounded_int/src/lib.cairo similarity index 67% rename from stwo_cairo_verifier/bounded_int/src/lib.cairo rename to stwo_cairo_verifier/crates/bounded_int/src/lib.cairo index 66a4581b..14426d9a 100644 --- a/stwo_cairo_verifier/bounded_int/src/lib.cairo +++ b/stwo_cairo_verifier/crates/bounded_int/src/lib.cairo @@ -1,8 +1,7 @@ //! Utility crate that exports internal corelib function. //! This crate is compiled with an older edition that does not enforce visibity rules. +use core::integer::upcast; use core::internal::bounded_int::{ - BoundedInt, add, constrain, div_rem, sub, AddHelper, ConstrainHelper, DivRemHelper, SubHelper, + AddHelper, BoundedInt, ConstrainHelper, DivRemHelper, SubHelper, add, constrain, div_rem, sub, }; - -use core::integer::upcast; diff --git a/stwo_cairo_verifier/crates/cairo_air/Scarb.toml b/stwo_cairo_verifier/crates/cairo_air/Scarb.toml new file mode 100644 index 00000000..77e2ddd7 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/Scarb.toml @@ -0,0 +1,17 @@ +[package] +name = "stwo_cairo_air" +version = "0.1.0" +edition = "2024_07" + +[lib] +casm = true + +[tool.fmt] +sort-module-level-items = true + +[dependencies] +stwo_verifier_core = { path = "../verifier_core" } +stwo_constraint_framework = { path = "../constraint_framework" } + +[dev-dependencies] +cairo_test = "2.9.2" diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components.cairo new file mode 100644 index 00000000..47493d42 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components.cairo @@ -0,0 +1,32 @@ +use stwo_constraint_framework::PreprocessedMaskValues; +use stwo_verifier_core::ColumnSpan; +use stwo_verifier_core::circle::CirclePoint; +use stwo_verifier_core::fields::qm31::QM31; + +pub mod addr_to_id; +pub mod genericopcode; +pub mod id_to_f252; +pub mod range_check; +pub mod ret_opcode; +pub mod verify_instruction; + +pub trait CairoComponent { + fn mask_points( + self: @T, + ref trace_mask_points: Array>>, + ref interaction_trace_mask_points: Array>>, + point: CirclePoint, + ); + + fn max_constraint_log_degree_bound(self: @T) -> u32; + + fn evaluate_constraints_at_point( + self: @T, + ref sum: QM31, + ref preprocessed_mask_values: PreprocessedMaskValues, + ref trace_mask_values: ColumnSpan>, + ref interaction_trace_mask_values: ColumnSpan>, + random_coeff: QM31, + point: CirclePoint, + ); +} diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/addr_to_id.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/addr_to_id.cairo new file mode 100644 index 00000000..a21a78f3 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/addr_to_id.cairo @@ -0,0 +1,110 @@ +use crate::components::CairoComponent; +use crate::utils::U32Impl; +use stwo_constraint_framework::{ + PreprocessedColumn, PreprocessedMaskValues, PreprocessedMaskValuesImpl, +}; +use stwo_verifier_core::channel::{Channel, ChannelImpl}; +use stwo_verifier_core::circle::CirclePoint; +use stwo_verifier_core::fields::qm31::{QM31, QM31Zero, QM31_EXTENSION_DEGREE}; +use stwo_verifier_core::poly::circle::CanonicCosetImpl; +use stwo_verifier_core::utils::ArrayImpl; +use stwo_verifier_core::{ColumnArray, ColumnSpan, TreeArray}; + +mod constraints; + +pub const N_ADDR_TO_ID_COLUMNS: usize = 3; + +#[derive(Drop, Serde, Copy)] +pub struct Claim { + pub log_size: u32, +} + +#[generate_trait] +pub impl ClaimImpl of ClaimTrait { + fn log_sizes(self: @Claim) -> TreeArray> { + let log_size = *self.log_size; + let preprocessed_log_sizes = array![log_size].span(); + let trace_log_sizes = ArrayImpl::new_repeated(N_ADDR_TO_ID_COLUMNS, log_size).span(); + let interaction_log_sizes = ArrayImpl::new_repeated(QM31_EXTENSION_DEGREE, log_size).span(); + array![preprocessed_log_sizes, trace_log_sizes, interaction_log_sizes] + } + + fn mix_into(self: @Claim, ref channel: Channel) { + channel.mix_nonce((*self.log_size).into()); + } +} + +#[derive(Drop, Serde, Copy)] +pub struct InteractionClaim { + pub claimed_sum: QM31, +} + +#[generate_trait] +pub impl InteractionClaimImpl of InteractionClaimTrait { + fn mix_into(self: @InteractionClaim, ref channel: Channel) { + channel.mix_felts([*self.claimed_sum].span()); + } +} + +#[derive(Drop)] +pub struct Component { + pub claim: Claim, + pub interaction_claim: InteractionClaim, + pub lookup_elements: super::super::AddrToIdElements, +} + +pub impl ComponentImpl of CairoComponent { + fn mask_points( + self: @Component, + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + ) { + let trace_gen = CanonicCosetImpl::new(*self.claim.log_size).coset.step_size; + constraints::mask_points( + ref trace_mask_points, ref interaction_trace_mask_points, point, trace_gen, + ); + } + + fn max_constraint_log_degree_bound(self: @Component) -> u32 { + *self.claim.log_size + 1 + } + + fn evaluate_constraints_at_point( + self: @Component, + ref sum: QM31, + ref preprocessed_mask_values: PreprocessedMaskValues, + ref trace_mask_values: ColumnSpan>, + ref interaction_trace_mask_values: ColumnSpan>, + random_coeff: QM31, + point: CirclePoint, + ) { + let mut addr_to_id_alpha_powers = self.lookup_elements.alpha_powers.span(); + let addr_to_id_alpha_0 = *addr_to_id_alpha_powers.pop_front().unwrap(); + let addr_to_id_alpha_1 = *addr_to_id_alpha_powers.pop_front().unwrap(); + let addr_to_id_z = *addr_to_id_alpha_powers.pop_front().unwrap(); + + let log_size = *self.claim.log_size; + + let params = constraints::ConstraintParams { + AddrToId_alpha0: addr_to_id_alpha_0, + AddrToId_alpha1: addr_to_id_alpha_1, + AddrToId_z: addr_to_id_z, + preprocessed_is_first: preprocessed_mask_values + .get(PreprocessedColumn::IsFirst(log_size)), + total_sum: *self.interaction_claim.claimed_sum, + }; + + let trace_domain = CanonicCosetImpl::new(log_size); + let vanish_eval = trace_domain.eval_vanishing(point); + + constraints::evaluate_constraints_at_point( + ref sum, + ref trace_mask_values, + ref interaction_trace_mask_values, + params, + random_coeff, + vanish_eval, + ); + } +} diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/addr_to_id/constraints.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/addr_to_id/constraints.cairo new file mode 100644 index 00000000..6d68900f --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/addr_to_id/constraints.cairo @@ -0,0 +1,87 @@ +use stwo_verifier_core::circle::{ + CirclePoint, CirclePointIndex, CirclePointIndexImpl, CirclePointQM31AddCirclePointM31Impl, +}; +use stwo_verifier_core::fields::m31::{M31, m31}; +use stwo_verifier_core::fields::qm31::{QM31, QM31Impl, qm31}; + +use stwo_verifier_core::{ColumnArray, ColumnSpan}; + + +pub fn mask_points( + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + trace_gen: CirclePointIndex, +) { + let point_offset_neg_1 = point.add_circle_point_m31(-trace_gen.mul(1).to_point()); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); +} + +#[derive(Drop)] +pub struct ConstraintParams { + pub AddrToId_alpha0: QM31, + pub AddrToId_alpha1: QM31, + pub AddrToId_z: QM31, + pub preprocessed_is_first: QM31, + pub total_sum: QM31, +} + +pub fn evaluate_constraints_at_point( + ref sum: QM31, + ref trace_mask_values: ColumnSpan>, + ref interaction_mask_values: ColumnSpan>, + params: ConstraintParams, + random_coeff: QM31, + domain_vanish_at_point_inv: QM31, +) { + let ConstraintParams { + AddrToId_alpha0, AddrToId_alpha1, AddrToId_z, preprocessed_is_first, total_sum, + } = params; + + let mut trace_1_column_0 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_0_offset_0 = *trace_1_column_0.pop_front().unwrap(); + let mut trace_1_column_1 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_1_offset_0 = *trace_1_column_1.pop_front().unwrap(); + let mut trace_1_column_2 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_2_offset_0 = *trace_1_column_2.pop_front().unwrap(); + let mut trace_2_column_3 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_3_offset_neg_1 = *trace_2_column_3.pop_front().unwrap(); + let trace_2_column_3_offset_0 = *trace_2_column_3.pop_front().unwrap(); + let mut trace_2_column_4 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_4_offset_neg_1 = *trace_2_column_4.pop_front().unwrap(); + let trace_2_column_4_offset_0 = *trace_2_column_4.pop_front().unwrap(); + let mut trace_2_column_5 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_5_offset_neg_1 = *trace_2_column_5.pop_front().unwrap(); + let trace_2_column_5_offset_0 = *trace_2_column_5.pop_front().unwrap(); + let mut trace_2_column_6 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_6_offset_neg_1 = *trace_2_column_6.pop_front().unwrap(); + let trace_2_column_6_offset_0 = *trace_2_column_6.pop_front().unwrap(); + let intermediate0 = (AddrToId_alpha0) * (trace_1_column_0_offset_0) + + (AddrToId_alpha1) * (trace_1_column_1_offset_0) + - (AddrToId_z); + + let constraint_0 = (QM31Impl::from_partial_evals( + [ + trace_2_column_3_offset_0, trace_2_column_4_offset_0, trace_2_column_5_offset_0, + trace_2_column_6_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_3_offset_neg_1, trace_2_column_4_offset_neg_1, + trace_2_column_5_offset_neg_1, trace_2_column_6_offset_neg_1, + ], + ) + - ((total_sum) * (preprocessed_is_first)))) + * (intermediate0) + - (-(trace_1_column_2_offset_0)); + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_0 * domain_vanish_at_point_inv; +} + diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/genericopcode.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/genericopcode.cairo new file mode 100644 index 00000000..891e5a63 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/genericopcode.cairo @@ -0,0 +1,268 @@ +use crate::components::CairoComponent; +use crate::utils::U32Impl; +use stwo_constraint_framework::{ + ClaimedPrefixSum, PreprocessedColumn, PreprocessedMaskValues, PreprocessedMaskValuesImpl, +}; +use stwo_verifier_core::channel::{Channel, ChannelImpl}; +use stwo_verifier_core::circle::CirclePoint; +use stwo_verifier_core::fields::qm31::{QM31, QM31Zero, QM31_EXTENSION_DEGREE}; +use stwo_verifier_core::poly::circle::CanonicCosetImpl; +use stwo_verifier_core::utils::ArrayImpl; +use stwo_verifier_core::{ColumnArray, ColumnSpan, TreeArray}; + +mod constraints; + +pub const LOG_N_LANES: u32 = 4; + +#[derive(Drop, Serde, Copy)] +pub struct Claim { + pub n_calls: usize, +} + +#[generate_trait] +pub impl ClaimImpl of ClaimTrait { + fn log_size(self: @Claim) -> u32 { + core::cmp::max((*self.n_calls).next_power_of_two().ilog2(), LOG_N_LANES) + } + + fn log_sizes(self: @Claim) -> TreeArray> { + let log_size = self.log_size(); + let preprocessed_log_sizes = array![log_size].span(); + let trace_log_sizes = ArrayImpl::new_repeated(229, log_size).span(); + let interaction_log_sizes = ArrayImpl::new_repeated(QM31_EXTENSION_DEGREE * 65, log_size) + .span(); + array![preprocessed_log_sizes, trace_log_sizes, interaction_log_sizes] + } + + fn mix_into(self: @Claim, ref channel: Channel) { + channel.mix_nonce((*self.n_calls).into()); + } +} + +#[derive(Drop, Serde, Copy)] +pub struct InteractionClaim { + pub total_sum: QM31, + pub claimed_sum: Option, +} + +#[generate_trait] +pub impl InteractionClaimImpl of InteractionClaimTrait { + fn mix_into(self: @InteractionClaim, ref channel: Channel) { + channel.mix_felts([*self.total_sum].span()); + + if let Option::Some((sum_at_index, index)) = *self.claimed_sum { + channel.mix_felts([sum_at_index].span()); + channel.mix_nonce(index.into()); + } + } +} + +#[derive(Drop)] +pub struct Component { + pub claim: Claim, + pub interaction_claim: InteractionClaim, + pub memoryaddresstoid_lookup_elements: super::super::AddrToIdElements, + pub memoryidtobig_lookup_elements: super::super::IdToValueElements, + pub range_check_19_lookup_elements: super::super::RangeCheck19BitElements, + pub range_check_9_9_lookup_elements: super::super::RangeCheck9Bit9BitElements, + pub verifyinstruction_lookup_elements: super::super::VerifyInstructionElements, + pub opcodes_lookup_elements: super::super::VmElements, +} + +pub impl ComponentImpl of CairoComponent { + fn mask_points( + self: @Component, + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + ) { + let claimed_sum_offset = *self.claim.n_calls; + let trace_gen = CanonicCosetImpl::new(self.claim.log_size()).coset.step_size; + constraints::mask_points( + ref trace_mask_points, + ref interaction_trace_mask_points, + point, + trace_gen, + claimed_sum_offset, + ); + } + + fn max_constraint_log_degree_bound(self: @Component) -> u32 { + self.claim.log_size() + 1 + } + + fn evaluate_constraints_at_point( + self: @Component, + ref sum: QM31, + ref preprocessed_mask_values: PreprocessedMaskValues, + ref trace_mask_values: ColumnSpan>, + ref interaction_trace_mask_values: ColumnSpan>, + random_coeff: QM31, + point: CirclePoint, + ) { + let mut addr_to_id_alpha_powers = self + .memoryaddresstoid_lookup_elements + .alpha_powers + .span(); + let addr_to_id_alpha_0 = *addr_to_id_alpha_powers.pop_front().unwrap(); + let addr_to_id_alpha_1 = *addr_to_id_alpha_powers.pop_front().unwrap(); + + let mut id_to_value_alpha_powers = self.memoryidtobig_lookup_elements.alpha_powers.span(); + let id_to_value_alpha_0 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_1 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_2 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_3 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_4 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_5 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_6 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_7 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_8 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_9 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_10 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_11 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_12 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_13 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_14 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_15 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_16 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_17 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_18 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_19 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_20 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_21 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_22 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_23 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_24 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_25 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_26 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_27 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_28 = *id_to_value_alpha_powers.pop_front().unwrap(); + + let mut range_check_19_alpha_powers = self + .range_check_19_lookup_elements + .alpha_powers + .span(); + let range_check_19_alpha_0 = *range_check_19_alpha_powers.pop_front().unwrap(); + + let mut range_check_9_9_alpha_powers = self + .range_check_9_9_lookup_elements + .alpha_powers + .span(); + let range_check_9_9_alpha_0 = *range_check_9_9_alpha_powers.pop_front().unwrap(); + let range_check_9_9_alpha_1 = *range_check_9_9_alpha_powers.pop_front().unwrap(); + + let mut verify_instruction_alpha_powers = self + .verifyinstruction_lookup_elements + .alpha_powers + .span(); + let verify_instruction_alpha_0 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_1 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_2 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_3 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_4 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_5 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_6 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_7 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_8 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_9 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_10 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_11 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_12 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_13 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_14 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_15 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_16 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_17 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_18 = *verify_instruction_alpha_powers.pop_front().unwrap(); + + let mut vm_alpha_powers = self.opcodes_lookup_elements.alpha_powers.span(); + let vm_alpha_0 = *vm_alpha_powers.pop_front().unwrap(); + let vm_alpha_1 = *vm_alpha_powers.pop_front().unwrap(); + let vm_alpha_2 = *vm_alpha_powers.pop_front().unwrap(); + + let (claimed_sum, _) = (*self.interaction_claim.claimed_sum).unwrap(); + + let log_size = self.claim.log_size(); + + let params = constraints::ConstraintParams { + AddrToId_alpha0: addr_to_id_alpha_0, + AddrToId_alpha1: addr_to_id_alpha_1, + AddrToId_z: *self.memoryaddresstoid_lookup_elements.z, + IdToValue_alpha0: id_to_value_alpha_0, + IdToValue_alpha1: id_to_value_alpha_1, + IdToValue_alpha10: id_to_value_alpha_10, + IdToValue_alpha11: id_to_value_alpha_11, + IdToValue_alpha12: id_to_value_alpha_12, + IdToValue_alpha13: id_to_value_alpha_13, + IdToValue_alpha14: id_to_value_alpha_14, + IdToValue_alpha15: id_to_value_alpha_15, + IdToValue_alpha16: id_to_value_alpha_16, + IdToValue_alpha17: id_to_value_alpha_17, + IdToValue_alpha18: id_to_value_alpha_18, + IdToValue_alpha19: id_to_value_alpha_19, + IdToValue_alpha2: id_to_value_alpha_2, + IdToValue_alpha20: id_to_value_alpha_20, + IdToValue_alpha21: id_to_value_alpha_21, + IdToValue_alpha22: id_to_value_alpha_22, + IdToValue_alpha23: id_to_value_alpha_23, + IdToValue_alpha24: id_to_value_alpha_24, + IdToValue_alpha25: id_to_value_alpha_25, + IdToValue_alpha26: id_to_value_alpha_26, + IdToValue_alpha27: id_to_value_alpha_27, + IdToValue_alpha28: id_to_value_alpha_28, + IdToValue_alpha3: id_to_value_alpha_3, + IdToValue_alpha4: id_to_value_alpha_4, + IdToValue_alpha5: id_to_value_alpha_5, + IdToValue_alpha6: id_to_value_alpha_6, + IdToValue_alpha7: id_to_value_alpha_7, + IdToValue_alpha8: id_to_value_alpha_8, + IdToValue_alpha9: id_to_value_alpha_9, + IdToValue_z: *self.memoryidtobig_lookup_elements.z, + RangeCheck_19_alpha0: range_check_19_alpha_0, + RangeCheck_19_z: *self.range_check_19_lookup_elements.z, + RangeCheck_9_9_alpha0: range_check_9_9_alpha_0, + RangeCheck_9_9_alpha1: range_check_9_9_alpha_1, + RangeCheck_9_9_z: *self.range_check_9_9_lookup_elements.z, + VerifyInstruction_alpha0: verify_instruction_alpha_0, + VerifyInstruction_alpha1: verify_instruction_alpha_1, + VerifyInstruction_alpha10: verify_instruction_alpha_10, + VerifyInstruction_alpha11: verify_instruction_alpha_11, + VerifyInstruction_alpha12: verify_instruction_alpha_12, + VerifyInstruction_alpha13: verify_instruction_alpha_13, + VerifyInstruction_alpha14: verify_instruction_alpha_14, + VerifyInstruction_alpha15: verify_instruction_alpha_15, + VerifyInstruction_alpha16: verify_instruction_alpha_16, + VerifyInstruction_alpha17: verify_instruction_alpha_17, + VerifyInstruction_alpha18: verify_instruction_alpha_18, + VerifyInstruction_alpha2: verify_instruction_alpha_2, + VerifyInstruction_alpha3: verify_instruction_alpha_3, + VerifyInstruction_alpha4: verify_instruction_alpha_4, + VerifyInstruction_alpha5: verify_instruction_alpha_5, + VerifyInstruction_alpha6: verify_instruction_alpha_6, + VerifyInstruction_alpha7: verify_instruction_alpha_7, + VerifyInstruction_alpha8: verify_instruction_alpha_8, + VerifyInstruction_alpha9: verify_instruction_alpha_9, + VerifyInstruction_z: *self.verifyinstruction_lookup_elements.z, + Vm_alpha0: vm_alpha_0, + Vm_alpha1: vm_alpha_1, + Vm_alpha2: vm_alpha_2, + Vm_z: *self.opcodes_lookup_elements.z, + claimed_sum: claimed_sum, + preprocessed_is_first: preprocessed_mask_values + .get(PreprocessedColumn::IsFirst(log_size)), + total_sum: *self.interaction_claim.total_sum, + }; + + let trace_domain = CanonicCosetImpl::new(log_size); + let vanish_eval = trace_domain.eval_vanishing(point); + + constraints::evaluate_constraints_at_point( + ref sum, + ref trace_mask_values, + ref interaction_trace_mask_values, + params, + random_coeff, + vanish_eval, + ) + } +} diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/genericopcode/constraints.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/genericopcode/constraints.cairo new file mode 100644 index 00000000..6be6d0ac --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/genericopcode/constraints.cairo @@ -0,0 +1,12235 @@ +use stwo_verifier_core::circle::{ + CirclePoint, CirclePointIndex, CirclePointIndexImpl, CirclePointQM31AddCirclePointM31Impl, +}; +use stwo_verifier_core::fields::m31::{M31, m31}; +use stwo_verifier_core::fields::qm31::{QM31, QM31Impl, qm31}; + +use stwo_verifier_core::{ColumnArray, ColumnSpan}; + + +pub fn mask_points( + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + trace_gen: CirclePointIndex, + claimed_sum_offset: usize, +) { + let point_offset_neg_1 = point.add_circle_point_m31(-trace_gen.mul(1).to_point()); + let point_offset_claimed_sum = point + .add_circle_point_m31(trace_gen.mul(claimed_sum_offset).to_point()); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points + .append(array![point_offset_neg_1, point, point_offset_claimed_sum]); + interaction_trace_mask_points + .append(array![point_offset_neg_1, point, point_offset_claimed_sum]); + interaction_trace_mask_points + .append(array![point_offset_neg_1, point, point_offset_claimed_sum]); + interaction_trace_mask_points + .append(array![point_offset_neg_1, point, point_offset_claimed_sum]); +} + +#[derive(Drop)] +pub struct ConstraintParams { + pub AddrToId_alpha0: QM31, + pub AddrToId_alpha1: QM31, + pub AddrToId_z: QM31, + pub IdToValue_alpha0: QM31, + pub IdToValue_alpha1: QM31, + pub IdToValue_alpha10: QM31, + pub IdToValue_alpha11: QM31, + pub IdToValue_alpha12: QM31, + pub IdToValue_alpha13: QM31, + pub IdToValue_alpha14: QM31, + pub IdToValue_alpha15: QM31, + pub IdToValue_alpha16: QM31, + pub IdToValue_alpha17: QM31, + pub IdToValue_alpha18: QM31, + pub IdToValue_alpha19: QM31, + pub IdToValue_alpha2: QM31, + pub IdToValue_alpha20: QM31, + pub IdToValue_alpha21: QM31, + pub IdToValue_alpha22: QM31, + pub IdToValue_alpha23: QM31, + pub IdToValue_alpha24: QM31, + pub IdToValue_alpha25: QM31, + pub IdToValue_alpha26: QM31, + pub IdToValue_alpha27: QM31, + pub IdToValue_alpha28: QM31, + pub IdToValue_alpha3: QM31, + pub IdToValue_alpha4: QM31, + pub IdToValue_alpha5: QM31, + pub IdToValue_alpha6: QM31, + pub IdToValue_alpha7: QM31, + pub IdToValue_alpha8: QM31, + pub IdToValue_alpha9: QM31, + pub IdToValue_z: QM31, + pub RangeCheck_19_alpha0: QM31, + pub RangeCheck_19_z: QM31, + pub RangeCheck_9_9_alpha0: QM31, + pub RangeCheck_9_9_alpha1: QM31, + pub RangeCheck_9_9_z: QM31, + pub VerifyInstruction_alpha0: QM31, + pub VerifyInstruction_alpha1: QM31, + pub VerifyInstruction_alpha10: QM31, + pub VerifyInstruction_alpha11: QM31, + pub VerifyInstruction_alpha12: QM31, + pub VerifyInstruction_alpha13: QM31, + pub VerifyInstruction_alpha14: QM31, + pub VerifyInstruction_alpha15: QM31, + pub VerifyInstruction_alpha16: QM31, + pub VerifyInstruction_alpha17: QM31, + pub VerifyInstruction_alpha18: QM31, + pub VerifyInstruction_alpha2: QM31, + pub VerifyInstruction_alpha3: QM31, + pub VerifyInstruction_alpha4: QM31, + pub VerifyInstruction_alpha5: QM31, + pub VerifyInstruction_alpha6: QM31, + pub VerifyInstruction_alpha7: QM31, + pub VerifyInstruction_alpha8: QM31, + pub VerifyInstruction_alpha9: QM31, + pub VerifyInstruction_z: QM31, + pub Vm_alpha0: QM31, + pub Vm_alpha1: QM31, + pub Vm_alpha2: QM31, + pub Vm_z: QM31, + pub claimed_sum: QM31, + pub preprocessed_is_first: QM31, + pub total_sum: QM31, +} + +pub fn evaluate_constraints_at_point( + ref sum: QM31, + ref trace_mask_values: ColumnSpan>, + ref interaction_mask_values: ColumnSpan>, + params: ConstraintParams, + random_coeff: QM31, + domain_vanish_at_point_inv: QM31, +) { // let ConstraintParams { AddrToId_alpha0, +// AddrToId_alpha1, +// AddrToId_z, +// IdToValue_alpha0, +// IdToValue_alpha1, +// IdToValue_alpha10, +// IdToValue_alpha11, +// IdToValue_alpha12, +// IdToValue_alpha13, +// IdToValue_alpha14, +// IdToValue_alpha15, +// IdToValue_alpha16, +// IdToValue_alpha17, +// IdToValue_alpha18, +// IdToValue_alpha19, +// IdToValue_alpha2, +// IdToValue_alpha20, +// IdToValue_alpha21, +// IdToValue_alpha22, +// IdToValue_alpha23, +// IdToValue_alpha24, +// IdToValue_alpha25, +// IdToValue_alpha26, +// IdToValue_alpha27, +// IdToValue_alpha28, +// IdToValue_alpha3, +// IdToValue_alpha4, +// IdToValue_alpha5, +// IdToValue_alpha6, +// IdToValue_alpha7, +// IdToValue_alpha8, +// IdToValue_alpha9, +// IdToValue_z, +// RangeCheck_19_alpha0, +// RangeCheck_19_z, +// RangeCheck_9_9_alpha0, +// RangeCheck_9_9_alpha1, +// RangeCheck_9_9_z, +// VerifyInstruction_alpha0, +// VerifyInstruction_alpha1, +// VerifyInstruction_alpha10, +// VerifyInstruction_alpha11, +// VerifyInstruction_alpha12, +// VerifyInstruction_alpha13, +// VerifyInstruction_alpha14, +// VerifyInstruction_alpha15, +// VerifyInstruction_alpha16, +// VerifyInstruction_alpha17, +// VerifyInstruction_alpha18, +// VerifyInstruction_alpha2, +// VerifyInstruction_alpha3, +// VerifyInstruction_alpha4, +// VerifyInstruction_alpha5, +// VerifyInstruction_alpha6, +// VerifyInstruction_alpha7, +// VerifyInstruction_alpha8, +// VerifyInstruction_alpha9, +// VerifyInstruction_z, +// Vm_alpha0, +// Vm_alpha1, +// Vm_alpha2, +// Vm_z, +// claimed_sum, +// preprocessed_is_first, +// total_sum } = +// params; + +// let mut trace_1_column_0 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_0_offset_0 = *trace_1_column_0.pop_front().unwrap(); +// let mut trace_1_column_1 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_1_offset_0 = *trace_1_column_1.pop_front().unwrap(); +// let mut trace_1_column_2 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_2_offset_0 = *trace_1_column_2.pop_front().unwrap(); +// let mut trace_1_column_3 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_3_offset_0 = *trace_1_column_3.pop_front().unwrap(); +// let mut trace_1_column_4 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_4_offset_0 = *trace_1_column_4.pop_front().unwrap(); +// let mut trace_1_column_5 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_5_offset_0 = *trace_1_column_5.pop_front().unwrap(); +// let mut trace_1_column_6 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_6_offset_0 = *trace_1_column_6.pop_front().unwrap(); +// let mut trace_1_column_7 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_7_offset_0 = *trace_1_column_7.pop_front().unwrap(); +// let mut trace_1_column_8 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_8_offset_0 = *trace_1_column_8.pop_front().unwrap(); +// let mut trace_1_column_9 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_9_offset_0 = *trace_1_column_9.pop_front().unwrap(); +// let mut trace_1_column_10 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_10_offset_0 = *trace_1_column_10.pop_front().unwrap(); +// let mut trace_1_column_11 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_11_offset_0 = *trace_1_column_11.pop_front().unwrap(); +// let mut trace_1_column_12 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_12_offset_0 = *trace_1_column_12.pop_front().unwrap(); +// let mut trace_1_column_13 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_13_offset_0 = *trace_1_column_13.pop_front().unwrap(); +// let mut trace_1_column_14 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_14_offset_0 = *trace_1_column_14.pop_front().unwrap(); +// let mut trace_1_column_15 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_15_offset_0 = *trace_1_column_15.pop_front().unwrap(); +// let mut trace_1_column_16 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_16_offset_0 = *trace_1_column_16.pop_front().unwrap(); +// let mut trace_1_column_17 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_17_offset_0 = *trace_1_column_17.pop_front().unwrap(); +// let mut trace_1_column_18 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_18_offset_0 = *trace_1_column_18.pop_front().unwrap(); +// let mut trace_1_column_19 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_19_offset_0 = *trace_1_column_19.pop_front().unwrap(); +// let mut trace_1_column_20 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_20_offset_0 = *trace_1_column_20.pop_front().unwrap(); +// let mut trace_1_column_21 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_21_offset_0 = *trace_1_column_21.pop_front().unwrap(); +// let mut trace_1_column_22 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_22_offset_0 = *trace_1_column_22.pop_front().unwrap(); +// let mut trace_1_column_23 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_23_offset_0 = *trace_1_column_23.pop_front().unwrap(); +// let mut trace_1_column_24 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_24_offset_0 = *trace_1_column_24.pop_front().unwrap(); +// let mut trace_1_column_25 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_25_offset_0 = *trace_1_column_25.pop_front().unwrap(); +// let mut trace_1_column_26 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_26_offset_0 = *trace_1_column_26.pop_front().unwrap(); +// let mut trace_1_column_27 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_27_offset_0 = *trace_1_column_27.pop_front().unwrap(); +// let mut trace_1_column_28 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_28_offset_0 = *trace_1_column_28.pop_front().unwrap(); +// let mut trace_1_column_29 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_29_offset_0 = *trace_1_column_29.pop_front().unwrap(); +// let mut trace_1_column_30 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_30_offset_0 = *trace_1_column_30.pop_front().unwrap(); +// let mut trace_1_column_31 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_31_offset_0 = *trace_1_column_31.pop_front().unwrap(); +// let mut trace_1_column_32 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_32_offset_0 = *trace_1_column_32.pop_front().unwrap(); +// let mut trace_1_column_33 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_33_offset_0 = *trace_1_column_33.pop_front().unwrap(); +// let mut trace_1_column_34 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_34_offset_0 = *trace_1_column_34.pop_front().unwrap(); +// let mut trace_1_column_35 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_35_offset_0 = *trace_1_column_35.pop_front().unwrap(); +// let mut trace_1_column_36 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_36_offset_0 = *trace_1_column_36.pop_front().unwrap(); +// let mut trace_1_column_37 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_37_offset_0 = *trace_1_column_37.pop_front().unwrap(); +// let mut trace_1_column_38 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_38_offset_0 = *trace_1_column_38.pop_front().unwrap(); +// let mut trace_1_column_39 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_39_offset_0 = *trace_1_column_39.pop_front().unwrap(); +// let mut trace_1_column_40 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_40_offset_0 = *trace_1_column_40.pop_front().unwrap(); +// let mut trace_1_column_41 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_41_offset_0 = *trace_1_column_41.pop_front().unwrap(); +// let mut trace_1_column_42 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_42_offset_0 = *trace_1_column_42.pop_front().unwrap(); +// let mut trace_1_column_43 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_43_offset_0 = *trace_1_column_43.pop_front().unwrap(); +// let mut trace_1_column_44 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_44_offset_0 = *trace_1_column_44.pop_front().unwrap(); +// let mut trace_1_column_45 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_45_offset_0 = *trace_1_column_45.pop_front().unwrap(); +// let mut trace_1_column_46 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_46_offset_0 = *trace_1_column_46.pop_front().unwrap(); +// let mut trace_1_column_47 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_47_offset_0 = *trace_1_column_47.pop_front().unwrap(); +// let mut trace_1_column_48 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_48_offset_0 = *trace_1_column_48.pop_front().unwrap(); +// let mut trace_1_column_49 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_49_offset_0 = *trace_1_column_49.pop_front().unwrap(); +// let mut trace_1_column_50 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_50_offset_0 = *trace_1_column_50.pop_front().unwrap(); +// let mut trace_1_column_51 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_51_offset_0 = *trace_1_column_51.pop_front().unwrap(); +// let mut trace_1_column_52 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_52_offset_0 = *trace_1_column_52.pop_front().unwrap(); +// let mut trace_1_column_53 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_53_offset_0 = *trace_1_column_53.pop_front().unwrap(); +// let mut trace_1_column_54 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_54_offset_0 = *trace_1_column_54.pop_front().unwrap(); +// let mut trace_1_column_55 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_55_offset_0 = *trace_1_column_55.pop_front().unwrap(); +// let mut trace_1_column_56 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_56_offset_0 = *trace_1_column_56.pop_front().unwrap(); +// let mut trace_1_column_57 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_57_offset_0 = *trace_1_column_57.pop_front().unwrap(); +// let mut trace_1_column_58 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_58_offset_0 = *trace_1_column_58.pop_front().unwrap(); +// let mut trace_1_column_59 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_59_offset_0 = *trace_1_column_59.pop_front().unwrap(); +// let mut trace_1_column_60 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_60_offset_0 = *trace_1_column_60.pop_front().unwrap(); +// let mut trace_1_column_61 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_61_offset_0 = *trace_1_column_61.pop_front().unwrap(); +// let mut trace_1_column_62 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_62_offset_0 = *trace_1_column_62.pop_front().unwrap(); +// let mut trace_1_column_63 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_63_offset_0 = *trace_1_column_63.pop_front().unwrap(); +// let mut trace_1_column_64 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_64_offset_0 = *trace_1_column_64.pop_front().unwrap(); +// let mut trace_1_column_65 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_65_offset_0 = *trace_1_column_65.pop_front().unwrap(); +// let mut trace_1_column_66 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_66_offset_0 = *trace_1_column_66.pop_front().unwrap(); +// let mut trace_1_column_67 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_67_offset_0 = *trace_1_column_67.pop_front().unwrap(); +// let mut trace_1_column_68 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_68_offset_0 = *trace_1_column_68.pop_front().unwrap(); +// let mut trace_1_column_69 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_69_offset_0 = *trace_1_column_69.pop_front().unwrap(); +// let mut trace_1_column_70 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_70_offset_0 = *trace_1_column_70.pop_front().unwrap(); +// let mut trace_1_column_71 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_71_offset_0 = *trace_1_column_71.pop_front().unwrap(); +// let mut trace_1_column_72 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_72_offset_0 = *trace_1_column_72.pop_front().unwrap(); +// let mut trace_1_column_73 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_73_offset_0 = *trace_1_column_73.pop_front().unwrap(); +// let mut trace_1_column_74 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_74_offset_0 = *trace_1_column_74.pop_front().unwrap(); +// let mut trace_1_column_75 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_75_offset_0 = *trace_1_column_75.pop_front().unwrap(); +// let mut trace_1_column_76 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_76_offset_0 = *trace_1_column_76.pop_front().unwrap(); +// let mut trace_1_column_77 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_77_offset_0 = *trace_1_column_77.pop_front().unwrap(); +// let mut trace_1_column_78 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_78_offset_0 = *trace_1_column_78.pop_front().unwrap(); +// let mut trace_1_column_79 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_79_offset_0 = *trace_1_column_79.pop_front().unwrap(); +// let mut trace_1_column_80 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_80_offset_0 = *trace_1_column_80.pop_front().unwrap(); +// let mut trace_1_column_81 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_81_offset_0 = *trace_1_column_81.pop_front().unwrap(); +// let mut trace_1_column_82 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_82_offset_0 = *trace_1_column_82.pop_front().unwrap(); +// let mut trace_1_column_83 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_83_offset_0 = *trace_1_column_83.pop_front().unwrap(); +// let mut trace_1_column_84 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_84_offset_0 = *trace_1_column_84.pop_front().unwrap(); +// let mut trace_1_column_85 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_85_offset_0 = *trace_1_column_85.pop_front().unwrap(); +// let mut trace_1_column_86 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_86_offset_0 = *trace_1_column_86.pop_front().unwrap(); +// let mut trace_1_column_87 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_87_offset_0 = *trace_1_column_87.pop_front().unwrap(); +// let mut trace_1_column_88 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_88_offset_0 = *trace_1_column_88.pop_front().unwrap(); +// let mut trace_1_column_89 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_89_offset_0 = *trace_1_column_89.pop_front().unwrap(); +// let mut trace_1_column_90 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_90_offset_0 = *trace_1_column_90.pop_front().unwrap(); +// let mut trace_1_column_91 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_91_offset_0 = *trace_1_column_91.pop_front().unwrap(); +// let mut trace_1_column_92 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_92_offset_0 = *trace_1_column_92.pop_front().unwrap(); +// let mut trace_1_column_93 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_93_offset_0 = *trace_1_column_93.pop_front().unwrap(); +// let mut trace_1_column_94 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_94_offset_0 = *trace_1_column_94.pop_front().unwrap(); +// let mut trace_1_column_95 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_95_offset_0 = *trace_1_column_95.pop_front().unwrap(); +// let mut trace_1_column_96 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_96_offset_0 = *trace_1_column_96.pop_front().unwrap(); +// let mut trace_1_column_97 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_97_offset_0 = *trace_1_column_97.pop_front().unwrap(); +// let mut trace_1_column_98 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_98_offset_0 = *trace_1_column_98.pop_front().unwrap(); +// let mut trace_1_column_99 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_99_offset_0 = *trace_1_column_99.pop_front().unwrap(); +// let mut trace_1_column_100 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_100_offset_0 = *trace_1_column_100.pop_front().unwrap(); +// let mut trace_1_column_101 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_101_offset_0 = *trace_1_column_101.pop_front().unwrap(); +// let mut trace_1_column_102 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_102_offset_0 = *trace_1_column_102.pop_front().unwrap(); +// let mut trace_1_column_103 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_103_offset_0 = *trace_1_column_103.pop_front().unwrap(); +// let mut trace_1_column_104 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_104_offset_0 = *trace_1_column_104.pop_front().unwrap(); +// let mut trace_1_column_105 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_105_offset_0 = *trace_1_column_105.pop_front().unwrap(); +// let mut trace_1_column_106 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_106_offset_0 = *trace_1_column_106.pop_front().unwrap(); +// let mut trace_1_column_107 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_107_offset_0 = *trace_1_column_107.pop_front().unwrap(); +// let mut trace_1_column_108 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_108_offset_0 = *trace_1_column_108.pop_front().unwrap(); +// let mut trace_1_column_109 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_109_offset_0 = *trace_1_column_109.pop_front().unwrap(); +// let mut trace_1_column_110 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_110_offset_0 = *trace_1_column_110.pop_front().unwrap(); +// let mut trace_1_column_111 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_111_offset_0 = *trace_1_column_111.pop_front().unwrap(); +// let mut trace_1_column_112 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_112_offset_0 = *trace_1_column_112.pop_front().unwrap(); +// let mut trace_1_column_113 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_113_offset_0 = *trace_1_column_113.pop_front().unwrap(); +// let mut trace_1_column_114 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_114_offset_0 = *trace_1_column_114.pop_front().unwrap(); +// let mut trace_1_column_115 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_115_offset_0 = *trace_1_column_115.pop_front().unwrap(); +// let mut trace_1_column_116 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_116_offset_0 = *trace_1_column_116.pop_front().unwrap(); +// let mut trace_1_column_117 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_117_offset_0 = *trace_1_column_117.pop_front().unwrap(); +// let mut trace_1_column_118 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_118_offset_0 = *trace_1_column_118.pop_front().unwrap(); +// let mut trace_1_column_119 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_119_offset_0 = *trace_1_column_119.pop_front().unwrap(); +// let mut trace_1_column_120 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_120_offset_0 = *trace_1_column_120.pop_front().unwrap(); +// let mut trace_1_column_121 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_121_offset_0 = *trace_1_column_121.pop_front().unwrap(); +// let mut trace_1_column_122 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_122_offset_0 = *trace_1_column_122.pop_front().unwrap(); +// let mut trace_1_column_123 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_123_offset_0 = *trace_1_column_123.pop_front().unwrap(); +// let mut trace_1_column_124 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_124_offset_0 = *trace_1_column_124.pop_front().unwrap(); +// let mut trace_1_column_125 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_125_offset_0 = *trace_1_column_125.pop_front().unwrap(); +// let mut trace_1_column_126 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_126_offset_0 = *trace_1_column_126.pop_front().unwrap(); +// let mut trace_1_column_127 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_127_offset_0 = *trace_1_column_127.pop_front().unwrap(); +// let mut trace_1_column_128 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_128_offset_0 = *trace_1_column_128.pop_front().unwrap(); +// let mut trace_1_column_129 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_129_offset_0 = *trace_1_column_129.pop_front().unwrap(); +// let mut trace_1_column_130 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_130_offset_0 = *trace_1_column_130.pop_front().unwrap(); +// let mut trace_1_column_131 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_131_offset_0 = *trace_1_column_131.pop_front().unwrap(); +// let mut trace_1_column_132 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_132_offset_0 = *trace_1_column_132.pop_front().unwrap(); +// let mut trace_1_column_133 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_133_offset_0 = *trace_1_column_133.pop_front().unwrap(); +// let mut trace_1_column_134 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_134_offset_0 = *trace_1_column_134.pop_front().unwrap(); +// let mut trace_1_column_135 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_135_offset_0 = *trace_1_column_135.pop_front().unwrap(); +// let mut trace_1_column_136 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_136_offset_0 = *trace_1_column_136.pop_front().unwrap(); +// let mut trace_1_column_137 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_137_offset_0 = *trace_1_column_137.pop_front().unwrap(); +// let mut trace_1_column_138 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_138_offset_0 = *trace_1_column_138.pop_front().unwrap(); +// let mut trace_1_column_139 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_139_offset_0 = *trace_1_column_139.pop_front().unwrap(); +// let mut trace_1_column_140 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_140_offset_0 = *trace_1_column_140.pop_front().unwrap(); +// let mut trace_1_column_141 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_141_offset_0 = *trace_1_column_141.pop_front().unwrap(); +// let mut trace_1_column_142 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_142_offset_0 = *trace_1_column_142.pop_front().unwrap(); +// let mut trace_1_column_143 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_143_offset_0 = *trace_1_column_143.pop_front().unwrap(); +// let mut trace_1_column_144 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_144_offset_0 = *trace_1_column_144.pop_front().unwrap(); +// let mut trace_1_column_145 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_145_offset_0 = *trace_1_column_145.pop_front().unwrap(); +// let mut trace_1_column_146 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_146_offset_0 = *trace_1_column_146.pop_front().unwrap(); +// let mut trace_1_column_147 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_147_offset_0 = *trace_1_column_147.pop_front().unwrap(); +// let mut trace_1_column_148 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_148_offset_0 = *trace_1_column_148.pop_front().unwrap(); +// let mut trace_1_column_149 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_149_offset_0 = *trace_1_column_149.pop_front().unwrap(); +// let mut trace_1_column_150 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_150_offset_0 = *trace_1_column_150.pop_front().unwrap(); +// let mut trace_1_column_151 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_151_offset_0 = *trace_1_column_151.pop_front().unwrap(); +// let mut trace_1_column_152 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_152_offset_0 = *trace_1_column_152.pop_front().unwrap(); +// let mut trace_1_column_153 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_153_offset_0 = *trace_1_column_153.pop_front().unwrap(); +// let mut trace_1_column_154 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_154_offset_0 = *trace_1_column_154.pop_front().unwrap(); +// let mut trace_1_column_155 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_155_offset_0 = *trace_1_column_155.pop_front().unwrap(); +// let mut trace_1_column_156 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_156_offset_0 = *trace_1_column_156.pop_front().unwrap(); +// let mut trace_1_column_157 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_157_offset_0 = *trace_1_column_157.pop_front().unwrap(); +// let mut trace_1_column_158 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_158_offset_0 = *trace_1_column_158.pop_front().unwrap(); +// let mut trace_1_column_159 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_159_offset_0 = *trace_1_column_159.pop_front().unwrap(); +// let mut trace_1_column_160 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_160_offset_0 = *trace_1_column_160.pop_front().unwrap(); +// let mut trace_1_column_161 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_161_offset_0 = *trace_1_column_161.pop_front().unwrap(); +// let mut trace_1_column_162 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_162_offset_0 = *trace_1_column_162.pop_front().unwrap(); +// let mut trace_1_column_163 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_163_offset_0 = *trace_1_column_163.pop_front().unwrap(); +// let mut trace_1_column_164 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_164_offset_0 = *trace_1_column_164.pop_front().unwrap(); +// let mut trace_1_column_165 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_165_offset_0 = *trace_1_column_165.pop_front().unwrap(); +// let mut trace_1_column_166 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_166_offset_0 = *trace_1_column_166.pop_front().unwrap(); +// let mut trace_1_column_167 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_167_offset_0 = *trace_1_column_167.pop_front().unwrap(); +// let mut trace_1_column_168 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_168_offset_0 = *trace_1_column_168.pop_front().unwrap(); +// let mut trace_1_column_169 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_169_offset_0 = *trace_1_column_169.pop_front().unwrap(); +// let mut trace_1_column_170 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_170_offset_0 = *trace_1_column_170.pop_front().unwrap(); +// let mut trace_1_column_171 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_171_offset_0 = *trace_1_column_171.pop_front().unwrap(); +// let mut trace_1_column_172 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_172_offset_0 = *trace_1_column_172.pop_front().unwrap(); +// let mut trace_1_column_173 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_173_offset_0 = *trace_1_column_173.pop_front().unwrap(); +// let mut trace_1_column_174 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_174_offset_0 = *trace_1_column_174.pop_front().unwrap(); +// let mut trace_1_column_175 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_175_offset_0 = *trace_1_column_175.pop_front().unwrap(); +// let mut trace_1_column_176 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_176_offset_0 = *trace_1_column_176.pop_front().unwrap(); +// let mut trace_1_column_177 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_177_offset_0 = *trace_1_column_177.pop_front().unwrap(); +// let mut trace_1_column_178 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_178_offset_0 = *trace_1_column_178.pop_front().unwrap(); +// let mut trace_1_column_179 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_179_offset_0 = *trace_1_column_179.pop_front().unwrap(); +// let mut trace_1_column_180 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_180_offset_0 = *trace_1_column_180.pop_front().unwrap(); +// let mut trace_1_column_181 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_181_offset_0 = *trace_1_column_181.pop_front().unwrap(); +// let mut trace_1_column_182 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_182_offset_0 = *trace_1_column_182.pop_front().unwrap(); +// let mut trace_1_column_183 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_183_offset_0 = *trace_1_column_183.pop_front().unwrap(); +// let mut trace_1_column_184 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_184_offset_0 = *trace_1_column_184.pop_front().unwrap(); +// let mut trace_1_column_185 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_185_offset_0 = *trace_1_column_185.pop_front().unwrap(); +// let mut trace_1_column_186 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_186_offset_0 = *trace_1_column_186.pop_front().unwrap(); +// let mut trace_1_column_187 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_187_offset_0 = *trace_1_column_187.pop_front().unwrap(); +// let mut trace_1_column_188 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_188_offset_0 = *trace_1_column_188.pop_front().unwrap(); +// let mut trace_1_column_189 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_189_offset_0 = *trace_1_column_189.pop_front().unwrap(); +// let mut trace_1_column_190 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_190_offset_0 = *trace_1_column_190.pop_front().unwrap(); +// let mut trace_1_column_191 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_191_offset_0 = *trace_1_column_191.pop_front().unwrap(); +// let mut trace_1_column_192 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_192_offset_0 = *trace_1_column_192.pop_front().unwrap(); +// let mut trace_1_column_193 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_193_offset_0 = *trace_1_column_193.pop_front().unwrap(); +// let mut trace_1_column_194 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_194_offset_0 = *trace_1_column_194.pop_front().unwrap(); +// let mut trace_1_column_195 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_195_offset_0 = *trace_1_column_195.pop_front().unwrap(); +// let mut trace_1_column_196 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_196_offset_0 = *trace_1_column_196.pop_front().unwrap(); +// let mut trace_1_column_197 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_197_offset_0 = *trace_1_column_197.pop_front().unwrap(); +// let mut trace_1_column_198 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_198_offset_0 = *trace_1_column_198.pop_front().unwrap(); +// let mut trace_1_column_199 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_199_offset_0 = *trace_1_column_199.pop_front().unwrap(); +// let mut trace_1_column_200 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_200_offset_0 = *trace_1_column_200.pop_front().unwrap(); +// let mut trace_1_column_201 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_201_offset_0 = *trace_1_column_201.pop_front().unwrap(); +// let mut trace_1_column_202 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_202_offset_0 = *trace_1_column_202.pop_front().unwrap(); +// let mut trace_1_column_203 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_203_offset_0 = *trace_1_column_203.pop_front().unwrap(); +// let mut trace_1_column_204 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_204_offset_0 = *trace_1_column_204.pop_front().unwrap(); +// let mut trace_1_column_205 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_205_offset_0 = *trace_1_column_205.pop_front().unwrap(); +// let mut trace_1_column_206 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_206_offset_0 = *trace_1_column_206.pop_front().unwrap(); +// let mut trace_1_column_207 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_207_offset_0 = *trace_1_column_207.pop_front().unwrap(); +// let mut trace_1_column_208 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_208_offset_0 = *trace_1_column_208.pop_front().unwrap(); +// let mut trace_1_column_209 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_209_offset_0 = *trace_1_column_209.pop_front().unwrap(); +// let mut trace_1_column_210 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_210_offset_0 = *trace_1_column_210.pop_front().unwrap(); +// let mut trace_1_column_211 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_211_offset_0 = *trace_1_column_211.pop_front().unwrap(); +// let mut trace_1_column_212 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_212_offset_0 = *trace_1_column_212.pop_front().unwrap(); +// let mut trace_1_column_213 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_213_offset_0 = *trace_1_column_213.pop_front().unwrap(); +// let mut trace_1_column_214 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_214_offset_0 = *trace_1_column_214.pop_front().unwrap(); +// let mut trace_1_column_215 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_215_offset_0 = *trace_1_column_215.pop_front().unwrap(); +// let mut trace_1_column_216 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_216_offset_0 = *trace_1_column_216.pop_front().unwrap(); +// let mut trace_1_column_217 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_217_offset_0 = *trace_1_column_217.pop_front().unwrap(); +// let mut trace_1_column_218 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_218_offset_0 = *trace_1_column_218.pop_front().unwrap(); +// let mut trace_1_column_219 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_219_offset_0 = *trace_1_column_219.pop_front().unwrap(); +// let mut trace_1_column_220 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_220_offset_0 = *trace_1_column_220.pop_front().unwrap(); +// let mut trace_1_column_221 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_221_offset_0 = *trace_1_column_221.pop_front().unwrap(); +// let mut trace_1_column_222 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_222_offset_0 = *trace_1_column_222.pop_front().unwrap(); +// let mut trace_1_column_223 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_223_offset_0 = *trace_1_column_223.pop_front().unwrap(); +// let mut trace_1_column_224 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_224_offset_0 = *trace_1_column_224.pop_front().unwrap(); +// let mut trace_1_column_225 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_225_offset_0 = *trace_1_column_225.pop_front().unwrap(); +// let mut trace_1_column_226 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_226_offset_0 = *trace_1_column_226.pop_front().unwrap(); +// let mut trace_1_column_227 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_227_offset_0 = *trace_1_column_227.pop_front().unwrap(); +// let mut trace_1_column_228 = trace_mask_values.pop_front().unwrap().span(); +// let trace_1_column_228_offset_0 = *trace_1_column_228.pop_front().unwrap(); +// let mut trace_2_column_229 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_229_offset_0 = *trace_2_column_229.pop_front().unwrap(); +// let mut trace_2_column_230 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_230_offset_0 = *trace_2_column_230.pop_front().unwrap(); +// let mut trace_2_column_231 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_231_offset_0 = *trace_2_column_231.pop_front().unwrap(); +// let mut trace_2_column_232 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_232_offset_0 = *trace_2_column_232.pop_front().unwrap(); +// let mut trace_2_column_233 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_233_offset_0 = *trace_2_column_233.pop_front().unwrap(); +// let mut trace_2_column_234 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_234_offset_0 = *trace_2_column_234.pop_front().unwrap(); +// let mut trace_2_column_235 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_235_offset_0 = *trace_2_column_235.pop_front().unwrap(); +// let mut trace_2_column_236 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_236_offset_0 = *trace_2_column_236.pop_front().unwrap(); +// let mut trace_2_column_237 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_237_offset_0 = *trace_2_column_237.pop_front().unwrap(); +// let mut trace_2_column_238 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_238_offset_0 = *trace_2_column_238.pop_front().unwrap(); +// let mut trace_2_column_239 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_239_offset_0 = *trace_2_column_239.pop_front().unwrap(); +// let mut trace_2_column_240 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_240_offset_0 = *trace_2_column_240.pop_front().unwrap(); +// let mut trace_2_column_241 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_241_offset_0 = *trace_2_column_241.pop_front().unwrap(); +// let mut trace_2_column_242 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_242_offset_0 = *trace_2_column_242.pop_front().unwrap(); +// let mut trace_2_column_243 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_243_offset_0 = *trace_2_column_243.pop_front().unwrap(); +// let mut trace_2_column_244 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_244_offset_0 = *trace_2_column_244.pop_front().unwrap(); +// let mut trace_2_column_245 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_245_offset_0 = *trace_2_column_245.pop_front().unwrap(); +// let mut trace_2_column_246 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_246_offset_0 = *trace_2_column_246.pop_front().unwrap(); +// let mut trace_2_column_247 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_247_offset_0 = *trace_2_column_247.pop_front().unwrap(); +// let mut trace_2_column_248 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_248_offset_0 = *trace_2_column_248.pop_front().unwrap(); +// let mut trace_2_column_249 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_249_offset_0 = *trace_2_column_249.pop_front().unwrap(); +// let mut trace_2_column_250 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_250_offset_0 = *trace_2_column_250.pop_front().unwrap(); +// let mut trace_2_column_251 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_251_offset_0 = *trace_2_column_251.pop_front().unwrap(); +// let mut trace_2_column_252 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_252_offset_0 = *trace_2_column_252.pop_front().unwrap(); +// let mut trace_2_column_253 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_253_offset_0 = *trace_2_column_253.pop_front().unwrap(); +// let mut trace_2_column_254 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_254_offset_0 = *trace_2_column_254.pop_front().unwrap(); +// let mut trace_2_column_255 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_255_offset_0 = *trace_2_column_255.pop_front().unwrap(); +// let mut trace_2_column_256 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_256_offset_0 = *trace_2_column_256.pop_front().unwrap(); +// let mut trace_2_column_257 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_257_offset_0 = *trace_2_column_257.pop_front().unwrap(); +// let mut trace_2_column_258 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_258_offset_0 = *trace_2_column_258.pop_front().unwrap(); +// let mut trace_2_column_259 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_259_offset_0 = *trace_2_column_259.pop_front().unwrap(); +// let mut trace_2_column_260 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_260_offset_0 = *trace_2_column_260.pop_front().unwrap(); +// let mut trace_2_column_261 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_261_offset_0 = *trace_2_column_261.pop_front().unwrap(); +// let mut trace_2_column_262 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_262_offset_0 = *trace_2_column_262.pop_front().unwrap(); +// let mut trace_2_column_263 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_263_offset_0 = *trace_2_column_263.pop_front().unwrap(); +// let mut trace_2_column_264 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_264_offset_0 = *trace_2_column_264.pop_front().unwrap(); +// let mut trace_2_column_265 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_265_offset_0 = *trace_2_column_265.pop_front().unwrap(); +// let mut trace_2_column_266 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_266_offset_0 = *trace_2_column_266.pop_front().unwrap(); +// let mut trace_2_column_267 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_267_offset_0 = *trace_2_column_267.pop_front().unwrap(); +// let mut trace_2_column_268 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_268_offset_0 = *trace_2_column_268.pop_front().unwrap(); +// let mut trace_2_column_269 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_269_offset_0 = *trace_2_column_269.pop_front().unwrap(); +// let mut trace_2_column_270 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_270_offset_0 = *trace_2_column_270.pop_front().unwrap(); +// let mut trace_2_column_271 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_271_offset_0 = *trace_2_column_271.pop_front().unwrap(); +// let mut trace_2_column_272 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_272_offset_0 = *trace_2_column_272.pop_front().unwrap(); +// let mut trace_2_column_273 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_273_offset_0 = *trace_2_column_273.pop_front().unwrap(); +// let mut trace_2_column_274 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_274_offset_0 = *trace_2_column_274.pop_front().unwrap(); +// let mut trace_2_column_275 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_275_offset_0 = *trace_2_column_275.pop_front().unwrap(); +// let mut trace_2_column_276 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_276_offset_0 = *trace_2_column_276.pop_front().unwrap(); +// let mut trace_2_column_277 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_277_offset_0 = *trace_2_column_277.pop_front().unwrap(); +// let mut trace_2_column_278 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_278_offset_0 = *trace_2_column_278.pop_front().unwrap(); +// let mut trace_2_column_279 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_279_offset_0 = *trace_2_column_279.pop_front().unwrap(); +// let mut trace_2_column_280 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_280_offset_0 = *trace_2_column_280.pop_front().unwrap(); +// let mut trace_2_column_281 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_281_offset_0 = *trace_2_column_281.pop_front().unwrap(); +// let mut trace_2_column_282 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_282_offset_0 = *trace_2_column_282.pop_front().unwrap(); +// let mut trace_2_column_283 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_283_offset_0 = *trace_2_column_283.pop_front().unwrap(); +// let mut trace_2_column_284 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_284_offset_0 = *trace_2_column_284.pop_front().unwrap(); +// let mut trace_2_column_285 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_285_offset_0 = *trace_2_column_285.pop_front().unwrap(); +// let mut trace_2_column_286 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_286_offset_0 = *trace_2_column_286.pop_front().unwrap(); +// let mut trace_2_column_287 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_287_offset_0 = *trace_2_column_287.pop_front().unwrap(); +// let mut trace_2_column_288 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_288_offset_0 = *trace_2_column_288.pop_front().unwrap(); +// let mut trace_2_column_289 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_289_offset_0 = *trace_2_column_289.pop_front().unwrap(); +// let mut trace_2_column_290 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_290_offset_0 = *trace_2_column_290.pop_front().unwrap(); +// let mut trace_2_column_291 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_291_offset_0 = *trace_2_column_291.pop_front().unwrap(); +// let mut trace_2_column_292 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_292_offset_0 = *trace_2_column_292.pop_front().unwrap(); +// let mut trace_2_column_293 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_293_offset_0 = *trace_2_column_293.pop_front().unwrap(); +// let mut trace_2_column_294 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_294_offset_0 = *trace_2_column_294.pop_front().unwrap(); +// let mut trace_2_column_295 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_295_offset_0 = *trace_2_column_295.pop_front().unwrap(); +// let mut trace_2_column_296 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_296_offset_0 = *trace_2_column_296.pop_front().unwrap(); +// let mut trace_2_column_297 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_297_offset_0 = *trace_2_column_297.pop_front().unwrap(); +// let mut trace_2_column_298 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_298_offset_0 = *trace_2_column_298.pop_front().unwrap(); +// let mut trace_2_column_299 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_299_offset_0 = *trace_2_column_299.pop_front().unwrap(); +// let mut trace_2_column_300 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_300_offset_0 = *trace_2_column_300.pop_front().unwrap(); +// let mut trace_2_column_301 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_301_offset_0 = *trace_2_column_301.pop_front().unwrap(); +// let mut trace_2_column_302 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_302_offset_0 = *trace_2_column_302.pop_front().unwrap(); +// let mut trace_2_column_303 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_303_offset_0 = *trace_2_column_303.pop_front().unwrap(); +// let mut trace_2_column_304 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_304_offset_0 = *trace_2_column_304.pop_front().unwrap(); +// let mut trace_2_column_305 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_305_offset_0 = *trace_2_column_305.pop_front().unwrap(); +// let mut trace_2_column_306 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_306_offset_0 = *trace_2_column_306.pop_front().unwrap(); +// let mut trace_2_column_307 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_307_offset_0 = *trace_2_column_307.pop_front().unwrap(); +// let mut trace_2_column_308 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_308_offset_0 = *trace_2_column_308.pop_front().unwrap(); +// let mut trace_2_column_309 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_309_offset_0 = *trace_2_column_309.pop_front().unwrap(); +// let mut trace_2_column_310 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_310_offset_0 = *trace_2_column_310.pop_front().unwrap(); +// let mut trace_2_column_311 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_311_offset_0 = *trace_2_column_311.pop_front().unwrap(); +// let mut trace_2_column_312 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_312_offset_0 = *trace_2_column_312.pop_front().unwrap(); +// let mut trace_2_column_313 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_313_offset_0 = *trace_2_column_313.pop_front().unwrap(); +// let mut trace_2_column_314 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_314_offset_0 = *trace_2_column_314.pop_front().unwrap(); +// let mut trace_2_column_315 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_315_offset_0 = *trace_2_column_315.pop_front().unwrap(); +// let mut trace_2_column_316 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_316_offset_0 = *trace_2_column_316.pop_front().unwrap(); +// let mut trace_2_column_317 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_317_offset_0 = *trace_2_column_317.pop_front().unwrap(); +// let mut trace_2_column_318 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_318_offset_0 = *trace_2_column_318.pop_front().unwrap(); +// let mut trace_2_column_319 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_319_offset_0 = *trace_2_column_319.pop_front().unwrap(); +// let mut trace_2_column_320 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_320_offset_0 = *trace_2_column_320.pop_front().unwrap(); +// let mut trace_2_column_321 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_321_offset_0 = *trace_2_column_321.pop_front().unwrap(); +// let mut trace_2_column_322 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_322_offset_0 = *trace_2_column_322.pop_front().unwrap(); +// let mut trace_2_column_323 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_323_offset_0 = *trace_2_column_323.pop_front().unwrap(); +// let mut trace_2_column_324 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_324_offset_0 = *trace_2_column_324.pop_front().unwrap(); +// let mut trace_2_column_325 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_325_offset_0 = *trace_2_column_325.pop_front().unwrap(); +// let mut trace_2_column_326 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_326_offset_0 = *trace_2_column_326.pop_front().unwrap(); +// let mut trace_2_column_327 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_327_offset_0 = *trace_2_column_327.pop_front().unwrap(); +// let mut trace_2_column_328 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_328_offset_0 = *trace_2_column_328.pop_front().unwrap(); +// let mut trace_2_column_329 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_329_offset_0 = *trace_2_column_329.pop_front().unwrap(); +// let mut trace_2_column_330 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_330_offset_0 = *trace_2_column_330.pop_front().unwrap(); +// let mut trace_2_column_331 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_331_offset_0 = *trace_2_column_331.pop_front().unwrap(); +// let mut trace_2_column_332 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_332_offset_0 = *trace_2_column_332.pop_front().unwrap(); +// let mut trace_2_column_333 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_333_offset_0 = *trace_2_column_333.pop_front().unwrap(); +// let mut trace_2_column_334 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_334_offset_0 = *trace_2_column_334.pop_front().unwrap(); +// let mut trace_2_column_335 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_335_offset_0 = *trace_2_column_335.pop_front().unwrap(); +// let mut trace_2_column_336 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_336_offset_0 = *trace_2_column_336.pop_front().unwrap(); +// let mut trace_2_column_337 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_337_offset_0 = *trace_2_column_337.pop_front().unwrap(); +// let mut trace_2_column_338 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_338_offset_0 = *trace_2_column_338.pop_front().unwrap(); +// let mut trace_2_column_339 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_339_offset_0 = *trace_2_column_339.pop_front().unwrap(); +// let mut trace_2_column_340 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_340_offset_0 = *trace_2_column_340.pop_front().unwrap(); +// let mut trace_2_column_341 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_341_offset_0 = *trace_2_column_341.pop_front().unwrap(); +// let mut trace_2_column_342 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_342_offset_0 = *trace_2_column_342.pop_front().unwrap(); +// let mut trace_2_column_343 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_343_offset_0 = *trace_2_column_343.pop_front().unwrap(); +// let mut trace_2_column_344 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_344_offset_0 = *trace_2_column_344.pop_front().unwrap(); +// let mut trace_2_column_345 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_345_offset_0 = *trace_2_column_345.pop_front().unwrap(); +// let mut trace_2_column_346 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_346_offset_0 = *trace_2_column_346.pop_front().unwrap(); +// let mut trace_2_column_347 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_347_offset_0 = *trace_2_column_347.pop_front().unwrap(); +// let mut trace_2_column_348 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_348_offset_0 = *trace_2_column_348.pop_front().unwrap(); +// let mut trace_2_column_349 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_349_offset_0 = *trace_2_column_349.pop_front().unwrap(); +// let mut trace_2_column_350 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_350_offset_0 = *trace_2_column_350.pop_front().unwrap(); +// let mut trace_2_column_351 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_351_offset_0 = *trace_2_column_351.pop_front().unwrap(); +// let mut trace_2_column_352 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_352_offset_0 = *trace_2_column_352.pop_front().unwrap(); +// let mut trace_2_column_353 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_353_offset_0 = *trace_2_column_353.pop_front().unwrap(); +// let mut trace_2_column_354 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_354_offset_0 = *trace_2_column_354.pop_front().unwrap(); +// let mut trace_2_column_355 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_355_offset_0 = *trace_2_column_355.pop_front().unwrap(); +// let mut trace_2_column_356 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_356_offset_0 = *trace_2_column_356.pop_front().unwrap(); +// let mut trace_2_column_357 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_357_offset_0 = *trace_2_column_357.pop_front().unwrap(); +// let mut trace_2_column_358 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_358_offset_0 = *trace_2_column_358.pop_front().unwrap(); +// let mut trace_2_column_359 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_359_offset_0 = *trace_2_column_359.pop_front().unwrap(); +// let mut trace_2_column_360 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_360_offset_0 = *trace_2_column_360.pop_front().unwrap(); +// let mut trace_2_column_361 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_361_offset_0 = *trace_2_column_361.pop_front().unwrap(); +// let mut trace_2_column_362 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_362_offset_0 = *trace_2_column_362.pop_front().unwrap(); +// let mut trace_2_column_363 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_363_offset_0 = *trace_2_column_363.pop_front().unwrap(); +// let mut trace_2_column_364 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_364_offset_0 = *trace_2_column_364.pop_front().unwrap(); +// let mut trace_2_column_365 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_365_offset_0 = *trace_2_column_365.pop_front().unwrap(); +// let mut trace_2_column_366 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_366_offset_0 = *trace_2_column_366.pop_front().unwrap(); +// let mut trace_2_column_367 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_367_offset_0 = *trace_2_column_367.pop_front().unwrap(); +// let mut trace_2_column_368 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_368_offset_0 = *trace_2_column_368.pop_front().unwrap(); +// let mut trace_2_column_369 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_369_offset_0 = *trace_2_column_369.pop_front().unwrap(); +// let mut trace_2_column_370 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_370_offset_0 = *trace_2_column_370.pop_front().unwrap(); +// let mut trace_2_column_371 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_371_offset_0 = *trace_2_column_371.pop_front().unwrap(); +// let mut trace_2_column_372 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_372_offset_0 = *trace_2_column_372.pop_front().unwrap(); +// let mut trace_2_column_373 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_373_offset_0 = *trace_2_column_373.pop_front().unwrap(); +// let mut trace_2_column_374 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_374_offset_0 = *trace_2_column_374.pop_front().unwrap(); +// let mut trace_2_column_375 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_375_offset_0 = *trace_2_column_375.pop_front().unwrap(); +// let mut trace_2_column_376 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_376_offset_0 = *trace_2_column_376.pop_front().unwrap(); +// let mut trace_2_column_377 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_377_offset_0 = *trace_2_column_377.pop_front().unwrap(); +// let mut trace_2_column_378 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_378_offset_0 = *trace_2_column_378.pop_front().unwrap(); +// let mut trace_2_column_379 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_379_offset_0 = *trace_2_column_379.pop_front().unwrap(); +// let mut trace_2_column_380 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_380_offset_0 = *trace_2_column_380.pop_front().unwrap(); +// let mut trace_2_column_381 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_381_offset_0 = *trace_2_column_381.pop_front().unwrap(); +// let mut trace_2_column_382 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_382_offset_0 = *trace_2_column_382.pop_front().unwrap(); +// let mut trace_2_column_383 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_383_offset_0 = *trace_2_column_383.pop_front().unwrap(); +// let mut trace_2_column_384 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_384_offset_0 = *trace_2_column_384.pop_front().unwrap(); +// let mut trace_2_column_385 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_385_offset_0 = *trace_2_column_385.pop_front().unwrap(); +// let mut trace_2_column_386 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_386_offset_0 = *trace_2_column_386.pop_front().unwrap(); +// let mut trace_2_column_387 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_387_offset_0 = *trace_2_column_387.pop_front().unwrap(); +// let mut trace_2_column_388 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_388_offset_0 = *trace_2_column_388.pop_front().unwrap(); +// let mut trace_2_column_389 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_389_offset_0 = *trace_2_column_389.pop_front().unwrap(); +// let mut trace_2_column_390 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_390_offset_0 = *trace_2_column_390.pop_front().unwrap(); +// let mut trace_2_column_391 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_391_offset_0 = *trace_2_column_391.pop_front().unwrap(); +// let mut trace_2_column_392 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_392_offset_0 = *trace_2_column_392.pop_front().unwrap(); +// let mut trace_2_column_393 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_393_offset_0 = *trace_2_column_393.pop_front().unwrap(); +// let mut trace_2_column_394 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_394_offset_0 = *trace_2_column_394.pop_front().unwrap(); +// let mut trace_2_column_395 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_395_offset_0 = *trace_2_column_395.pop_front().unwrap(); +// let mut trace_2_column_396 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_396_offset_0 = *trace_2_column_396.pop_front().unwrap(); +// let mut trace_2_column_397 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_397_offset_0 = *trace_2_column_397.pop_front().unwrap(); +// let mut trace_2_column_398 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_398_offset_0 = *trace_2_column_398.pop_front().unwrap(); +// let mut trace_2_column_399 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_399_offset_0 = *trace_2_column_399.pop_front().unwrap(); +// let mut trace_2_column_400 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_400_offset_0 = *trace_2_column_400.pop_front().unwrap(); +// let mut trace_2_column_401 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_401_offset_0 = *trace_2_column_401.pop_front().unwrap(); +// let mut trace_2_column_402 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_402_offset_0 = *trace_2_column_402.pop_front().unwrap(); +// let mut trace_2_column_403 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_403_offset_0 = *trace_2_column_403.pop_front().unwrap(); +// let mut trace_2_column_404 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_404_offset_0 = *trace_2_column_404.pop_front().unwrap(); +// let mut trace_2_column_405 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_405_offset_0 = *trace_2_column_405.pop_front().unwrap(); +// let mut trace_2_column_406 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_406_offset_0 = *trace_2_column_406.pop_front().unwrap(); +// let mut trace_2_column_407 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_407_offset_0 = *trace_2_column_407.pop_front().unwrap(); +// let mut trace_2_column_408 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_408_offset_0 = *trace_2_column_408.pop_front().unwrap(); +// let mut trace_2_column_409 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_409_offset_0 = *trace_2_column_409.pop_front().unwrap(); +// let mut trace_2_column_410 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_410_offset_0 = *trace_2_column_410.pop_front().unwrap(); +// let mut trace_2_column_411 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_411_offset_0 = *trace_2_column_411.pop_front().unwrap(); +// let mut trace_2_column_412 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_412_offset_0 = *trace_2_column_412.pop_front().unwrap(); +// let mut trace_2_column_413 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_413_offset_0 = *trace_2_column_413.pop_front().unwrap(); +// let mut trace_2_column_414 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_414_offset_0 = *trace_2_column_414.pop_front().unwrap(); +// let mut trace_2_column_415 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_415_offset_0 = *trace_2_column_415.pop_front().unwrap(); +// let mut trace_2_column_416 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_416_offset_0 = *trace_2_column_416.pop_front().unwrap(); +// let mut trace_2_column_417 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_417_offset_0 = *trace_2_column_417.pop_front().unwrap(); +// let mut trace_2_column_418 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_418_offset_0 = *trace_2_column_418.pop_front().unwrap(); +// let mut trace_2_column_419 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_419_offset_0 = *trace_2_column_419.pop_front().unwrap(); +// let mut trace_2_column_420 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_420_offset_0 = *trace_2_column_420.pop_front().unwrap(); +// let mut trace_2_column_421 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_421_offset_0 = *trace_2_column_421.pop_front().unwrap(); +// let mut trace_2_column_422 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_422_offset_0 = *trace_2_column_422.pop_front().unwrap(); +// let mut trace_2_column_423 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_423_offset_0 = *trace_2_column_423.pop_front().unwrap(); +// let mut trace_2_column_424 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_424_offset_0 = *trace_2_column_424.pop_front().unwrap(); +// let mut trace_2_column_425 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_425_offset_0 = *trace_2_column_425.pop_front().unwrap(); +// let mut trace_2_column_426 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_426_offset_0 = *trace_2_column_426.pop_front().unwrap(); +// let mut trace_2_column_427 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_427_offset_0 = *trace_2_column_427.pop_front().unwrap(); +// let mut trace_2_column_428 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_428_offset_0 = *trace_2_column_428.pop_front().unwrap(); +// let mut trace_2_column_429 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_429_offset_0 = *trace_2_column_429.pop_front().unwrap(); +// let mut trace_2_column_430 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_430_offset_0 = *trace_2_column_430.pop_front().unwrap(); +// let mut trace_2_column_431 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_431_offset_0 = *trace_2_column_431.pop_front().unwrap(); +// let mut trace_2_column_432 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_432_offset_0 = *trace_2_column_432.pop_front().unwrap(); +// let mut trace_2_column_433 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_433_offset_0 = *trace_2_column_433.pop_front().unwrap(); +// let mut trace_2_column_434 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_434_offset_0 = *trace_2_column_434.pop_front().unwrap(); +// let mut trace_2_column_435 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_435_offset_0 = *trace_2_column_435.pop_front().unwrap(); +// let mut trace_2_column_436 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_436_offset_0 = *trace_2_column_436.pop_front().unwrap(); +// let mut trace_2_column_437 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_437_offset_0 = *trace_2_column_437.pop_front().unwrap(); +// let mut trace_2_column_438 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_438_offset_0 = *trace_2_column_438.pop_front().unwrap(); +// let mut trace_2_column_439 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_439_offset_0 = *trace_2_column_439.pop_front().unwrap(); +// let mut trace_2_column_440 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_440_offset_0 = *trace_2_column_440.pop_front().unwrap(); +// let mut trace_2_column_441 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_441_offset_0 = *trace_2_column_441.pop_front().unwrap(); +// let mut trace_2_column_442 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_442_offset_0 = *trace_2_column_442.pop_front().unwrap(); +// let mut trace_2_column_443 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_443_offset_0 = *trace_2_column_443.pop_front().unwrap(); +// let mut trace_2_column_444 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_444_offset_0 = *trace_2_column_444.pop_front().unwrap(); +// let mut trace_2_column_445 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_445_offset_0 = *trace_2_column_445.pop_front().unwrap(); +// let mut trace_2_column_446 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_446_offset_0 = *trace_2_column_446.pop_front().unwrap(); +// let mut trace_2_column_447 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_447_offset_0 = *trace_2_column_447.pop_front().unwrap(); +// let mut trace_2_column_448 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_448_offset_0 = *trace_2_column_448.pop_front().unwrap(); +// let mut trace_2_column_449 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_449_offset_0 = *trace_2_column_449.pop_front().unwrap(); +// let mut trace_2_column_450 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_450_offset_0 = *trace_2_column_450.pop_front().unwrap(); +// let mut trace_2_column_451 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_451_offset_0 = *trace_2_column_451.pop_front().unwrap(); +// let mut trace_2_column_452 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_452_offset_0 = *trace_2_column_452.pop_front().unwrap(); +// let mut trace_2_column_453 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_453_offset_0 = *trace_2_column_453.pop_front().unwrap(); +// let mut trace_2_column_454 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_454_offset_0 = *trace_2_column_454.pop_front().unwrap(); +// let mut trace_2_column_455 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_455_offset_0 = *trace_2_column_455.pop_front().unwrap(); +// let mut trace_2_column_456 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_456_offset_0 = *trace_2_column_456.pop_front().unwrap(); +// let mut trace_2_column_457 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_457_offset_0 = *trace_2_column_457.pop_front().unwrap(); +// let mut trace_2_column_458 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_458_offset_0 = *trace_2_column_458.pop_front().unwrap(); +// let mut trace_2_column_459 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_459_offset_0 = *trace_2_column_459.pop_front().unwrap(); +// let mut trace_2_column_460 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_460_offset_0 = *trace_2_column_460.pop_front().unwrap(); +// let mut trace_2_column_461 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_461_offset_0 = *trace_2_column_461.pop_front().unwrap(); +// let mut trace_2_column_462 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_462_offset_0 = *trace_2_column_462.pop_front().unwrap(); +// let mut trace_2_column_463 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_463_offset_0 = *trace_2_column_463.pop_front().unwrap(); +// let mut trace_2_column_464 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_464_offset_0 = *trace_2_column_464.pop_front().unwrap(); +// let mut trace_2_column_465 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_465_offset_0 = *trace_2_column_465.pop_front().unwrap(); +// let mut trace_2_column_466 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_466_offset_0 = *trace_2_column_466.pop_front().unwrap(); +// let mut trace_2_column_467 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_467_offset_0 = *trace_2_column_467.pop_front().unwrap(); +// let mut trace_2_column_468 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_468_offset_0 = *trace_2_column_468.pop_front().unwrap(); +// let mut trace_2_column_469 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_469_offset_0 = *trace_2_column_469.pop_front().unwrap(); +// let mut trace_2_column_470 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_470_offset_0 = *trace_2_column_470.pop_front().unwrap(); +// let mut trace_2_column_471 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_471_offset_0 = *trace_2_column_471.pop_front().unwrap(); +// let mut trace_2_column_472 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_472_offset_0 = *trace_2_column_472.pop_front().unwrap(); +// let mut trace_2_column_473 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_473_offset_0 = *trace_2_column_473.pop_front().unwrap(); +// let mut trace_2_column_474 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_474_offset_0 = *trace_2_column_474.pop_front().unwrap(); +// let mut trace_2_column_475 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_475_offset_0 = *trace_2_column_475.pop_front().unwrap(); +// let mut trace_2_column_476 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_476_offset_0 = *trace_2_column_476.pop_front().unwrap(); +// let mut trace_2_column_477 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_477_offset_0 = *trace_2_column_477.pop_front().unwrap(); +// let mut trace_2_column_478 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_478_offset_0 = *trace_2_column_478.pop_front().unwrap(); +// let mut trace_2_column_479 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_479_offset_0 = *trace_2_column_479.pop_front().unwrap(); +// let mut trace_2_column_480 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_480_offset_0 = *trace_2_column_480.pop_front().unwrap(); +// let mut trace_2_column_481 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_481_offset_0 = *trace_2_column_481.pop_front().unwrap(); +// let mut trace_2_column_482 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_482_offset_0 = *trace_2_column_482.pop_front().unwrap(); +// let mut trace_2_column_483 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_483_offset_0 = *trace_2_column_483.pop_front().unwrap(); +// let mut trace_2_column_484 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_484_offset_0 = *trace_2_column_484.pop_front().unwrap(); +// let mut trace_2_column_485 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_485_offset_neg_1 = *trace_2_column_485.pop_front().unwrap(); +// let trace_2_column_485_offset_0 = *trace_2_column_485.pop_front().unwrap(); +// let trace_2_column_485_offset_claimed_sum = *trace_2_column_485.pop_front().unwrap(); +// let mut trace_2_column_486 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_486_offset_neg_1 = *trace_2_column_486.pop_front().unwrap(); +// let trace_2_column_486_offset_0 = *trace_2_column_486.pop_front().unwrap(); +// let trace_2_column_486_offset_claimed_sum = *trace_2_column_486.pop_front().unwrap(); +// let mut trace_2_column_487 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_487_offset_neg_1 = *trace_2_column_487.pop_front().unwrap(); +// let trace_2_column_487_offset_0 = *trace_2_column_487.pop_front().unwrap(); +// let trace_2_column_487_offset_claimed_sum = *trace_2_column_487.pop_front().unwrap(); +// let mut trace_2_column_488 = interaction_mask_values.pop_front().unwrap().span(); +// let trace_2_column_488_offset_neg_1 = *trace_2_column_488.pop_front().unwrap(); +// let trace_2_column_488_offset_0 = *trace_2_column_488.pop_front().unwrap(); +// let trace_2_column_488_offset_claimed_sum = *trace_2_column_488.pop_front().unwrap(); +// let intermediate0 = (VerifyInstruction_alpha0) * (trace_1_column_0_offset_0) +// + (VerifyInstruction_alpha1) * (trace_1_column_3_offset_0) +// + (VerifyInstruction_alpha2) * (trace_1_column_4_offset_0) +// + (VerifyInstruction_alpha3) * (trace_1_column_5_offset_0) +// + (VerifyInstruction_alpha4) * (trace_1_column_6_offset_0) +// + (VerifyInstruction_alpha5) * (trace_1_column_7_offset_0) +// + (VerifyInstruction_alpha6) * (trace_1_column_8_offset_0) +// + (VerifyInstruction_alpha7) * (trace_1_column_9_offset_0) +// + (VerifyInstruction_alpha8) * (trace_1_column_10_offset_0) +// + (VerifyInstruction_alpha9) * (trace_1_column_11_offset_0) +// + (VerifyInstruction_alpha10) * (trace_1_column_12_offset_0) +// + (VerifyInstruction_alpha11) * (trace_1_column_13_offset_0) +// + (VerifyInstruction_alpha12) * (trace_1_column_14_offset_0) +// + (VerifyInstruction_alpha13) * (trace_1_column_15_offset_0) +// + (VerifyInstruction_alpha14) * (trace_1_column_16_offset_0) +// + (VerifyInstruction_alpha15) * (trace_1_column_17_offset_0) +// + (VerifyInstruction_alpha16) * (trace_1_column_18_offset_0) +// + (VerifyInstruction_alpha17) * (trace_1_column_19_offset_0) +// + (VerifyInstruction_alpha18) * (trace_1_column_20_offset_0) +// - (VerifyInstruction_z); + +// let intermediate1 = (AddrToId_alpha0) +// * ((trace_1_column_6_offset_0) * (trace_1_column_2_offset_0) +// + (m31(1).into() - (trace_1_column_6_offset_0)) * (trace_1_column_1_offset_0) +// + trace_1_column_3_offset_0 +// - (m31(32768).into())) +// + (AddrToId_alpha1) * (trace_1_column_21_offset_0) +// - (AddrToId_z); + +// let intermediate2 = (IdToValue_alpha0) * (trace_1_column_21_offset_0) +// + (IdToValue_alpha1) * (trace_1_column_22_offset_0) +// + (IdToValue_alpha2) * (trace_1_column_23_offset_0) +// + (IdToValue_alpha3) * (trace_1_column_24_offset_0) +// + (IdToValue_alpha4) * (trace_1_column_25_offset_0) +// + (IdToValue_alpha5) * (trace_1_column_26_offset_0) +// + (IdToValue_alpha6) * (trace_1_column_27_offset_0) +// + (IdToValue_alpha7) * (trace_1_column_28_offset_0) +// + (IdToValue_alpha8) * (trace_1_column_29_offset_0) +// + (IdToValue_alpha9) * (trace_1_column_30_offset_0) +// + (IdToValue_alpha10) * (trace_1_column_31_offset_0) +// + (IdToValue_alpha11) * (trace_1_column_32_offset_0) +// + (IdToValue_alpha12) * (trace_1_column_33_offset_0) +// + (IdToValue_alpha13) * (trace_1_column_34_offset_0) +// + (IdToValue_alpha14) * (trace_1_column_35_offset_0) +// + (IdToValue_alpha15) * (trace_1_column_36_offset_0) +// + (IdToValue_alpha16) * (trace_1_column_37_offset_0) +// + (IdToValue_alpha17) * (trace_1_column_38_offset_0) +// + (IdToValue_alpha18) * (trace_1_column_39_offset_0) +// + (IdToValue_alpha19) * (trace_1_column_40_offset_0) +// + (IdToValue_alpha20) * (trace_1_column_41_offset_0) +// + (IdToValue_alpha21) * (trace_1_column_42_offset_0) +// + (IdToValue_alpha22) * (trace_1_column_43_offset_0) +// + (IdToValue_alpha23) * (trace_1_column_44_offset_0) +// + (IdToValue_alpha24) * (trace_1_column_45_offset_0) +// + (IdToValue_alpha25) * (trace_1_column_46_offset_0) +// + (IdToValue_alpha26) * (trace_1_column_47_offset_0) +// + (IdToValue_alpha27) * (trace_1_column_48_offset_0) +// + (IdToValue_alpha28) * (trace_1_column_49_offset_0) +// - (IdToValue_z); + +// let intermediate3 = (AddrToId_alpha0) +// * ((trace_1_column_7_offset_0) * (trace_1_column_2_offset_0) +// + (m31(1).into() - (trace_1_column_7_offset_0)) * (trace_1_column_1_offset_0) +// + trace_1_column_4_offset_0 +// - (m31(32768).into())) +// + (AddrToId_alpha1) * (trace_1_column_50_offset_0) +// - (AddrToId_z); + +// let intermediate4 = (IdToValue_alpha0) * (trace_1_column_50_offset_0) +// + (IdToValue_alpha1) * (trace_1_column_51_offset_0) +// + (IdToValue_alpha2) * (trace_1_column_52_offset_0) +// + (IdToValue_alpha3) * (trace_1_column_53_offset_0) +// + (IdToValue_alpha4) * (trace_1_column_54_offset_0) +// + (IdToValue_alpha5) * (trace_1_column_55_offset_0) +// + (IdToValue_alpha6) * (trace_1_column_56_offset_0) +// + (IdToValue_alpha7) * (trace_1_column_57_offset_0) +// + (IdToValue_alpha8) * (trace_1_column_58_offset_0) +// + (IdToValue_alpha9) * (trace_1_column_59_offset_0) +// + (IdToValue_alpha10) * (trace_1_column_60_offset_0) +// + (IdToValue_alpha11) * (trace_1_column_61_offset_0) +// + (IdToValue_alpha12) * (trace_1_column_62_offset_0) +// + (IdToValue_alpha13) * (trace_1_column_63_offset_0) +// + (IdToValue_alpha14) * (trace_1_column_64_offset_0) +// + (IdToValue_alpha15) * (trace_1_column_65_offset_0) +// + (IdToValue_alpha16) * (trace_1_column_66_offset_0) +// + (IdToValue_alpha17) * (trace_1_column_67_offset_0) +// + (IdToValue_alpha18) * (trace_1_column_68_offset_0) +// + (IdToValue_alpha19) * (trace_1_column_69_offset_0) +// + (IdToValue_alpha20) * (trace_1_column_70_offset_0) +// + (IdToValue_alpha21) * (trace_1_column_71_offset_0) +// + (IdToValue_alpha22) * (trace_1_column_72_offset_0) +// + (IdToValue_alpha23) * (trace_1_column_73_offset_0) +// + (IdToValue_alpha24) * (trace_1_column_74_offset_0) +// + (IdToValue_alpha25) * (trace_1_column_75_offset_0) +// + (IdToValue_alpha26) * (trace_1_column_76_offset_0) +// + (IdToValue_alpha27) * (trace_1_column_77_offset_0) +// + (IdToValue_alpha28) * (trace_1_column_78_offset_0) +// - (IdToValue_z); + +// let intermediate5 = (AddrToId_alpha0) +// * ((trace_1_column_9_offset_0) * (trace_1_column_2_offset_0) +// + (trace_1_column_10_offset_0) * (trace_1_column_1_offset_0) +// + (trace_1_column_8_offset_0) * (trace_1_column_0_offset_0) +// + (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_51_offset_0 +// + (trace_1_column_52_offset_0) * (m31(512).into()) +// + (trace_1_column_53_offset_0) * (m31(262144).into())) +// + trace_1_column_5_offset_0 +// - (m31(32768).into())) +// + (AddrToId_alpha1) * (trace_1_column_79_offset_0) +// - (AddrToId_z); + +// let intermediate6 = (IdToValue_alpha0) * (trace_1_column_79_offset_0) +// + (IdToValue_alpha1) * (trace_1_column_80_offset_0) +// + (IdToValue_alpha2) * (trace_1_column_81_offset_0) +// + (IdToValue_alpha3) * (trace_1_column_82_offset_0) +// + (IdToValue_alpha4) * (trace_1_column_83_offset_0) +// + (IdToValue_alpha5) * (trace_1_column_84_offset_0) +// + (IdToValue_alpha6) * (trace_1_column_85_offset_0) +// + (IdToValue_alpha7) * (trace_1_column_86_offset_0) +// + (IdToValue_alpha8) * (trace_1_column_87_offset_0) +// + (IdToValue_alpha9) * (trace_1_column_88_offset_0) +// + (IdToValue_alpha10) * (trace_1_column_89_offset_0) +// + (IdToValue_alpha11) * (trace_1_column_90_offset_0) +// + (IdToValue_alpha12) * (trace_1_column_91_offset_0) +// + (IdToValue_alpha13) * (trace_1_column_92_offset_0) +// + (IdToValue_alpha14) * (trace_1_column_93_offset_0) +// + (IdToValue_alpha15) * (trace_1_column_94_offset_0) +// + (IdToValue_alpha16) * (trace_1_column_95_offset_0) +// + (IdToValue_alpha17) * (trace_1_column_96_offset_0) +// + (IdToValue_alpha18) * (trace_1_column_97_offset_0) +// + (IdToValue_alpha19) * (trace_1_column_98_offset_0) +// + (IdToValue_alpha20) * (trace_1_column_99_offset_0) +// + (IdToValue_alpha21) * (trace_1_column_100_offset_0) +// + (IdToValue_alpha22) * (trace_1_column_101_offset_0) +// + (IdToValue_alpha23) * (trace_1_column_102_offset_0) +// + (IdToValue_alpha24) * (trace_1_column_103_offset_0) +// + (IdToValue_alpha25) * (trace_1_column_104_offset_0) +// + (IdToValue_alpha26) * (trace_1_column_105_offset_0) +// + (IdToValue_alpha27) * (trace_1_column_106_offset_0) +// + (IdToValue_alpha28) * (trace_1_column_107_offset_0) +// - (IdToValue_z); + +// let intermediate7 = (RangeCheck_9_9_alpha0) * (trace_1_column_108_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_109_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate8 = (RangeCheck_9_9_alpha0) * (trace_1_column_110_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_111_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate9 = (RangeCheck_9_9_alpha0) * (trace_1_column_112_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_113_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate10 = (RangeCheck_9_9_alpha0) * (trace_1_column_114_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_115_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate11 = (RangeCheck_9_9_alpha0) * (trace_1_column_116_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_117_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate12 = (RangeCheck_9_9_alpha0) * (trace_1_column_118_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_119_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate13 = (RangeCheck_9_9_alpha0) * (trace_1_column_120_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_121_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate14 = (RangeCheck_9_9_alpha0) * (trace_1_column_122_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_123_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate15 = (RangeCheck_9_9_alpha0) * (trace_1_column_124_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_125_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate16 = (RangeCheck_9_9_alpha0) * (trace_1_column_126_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_127_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate17 = (RangeCheck_9_9_alpha0) * (trace_1_column_128_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_129_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate18 = (RangeCheck_9_9_alpha0) * (trace_1_column_130_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_131_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate19 = (RangeCheck_9_9_alpha0) * (trace_1_column_132_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_133_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate20 = (RangeCheck_9_9_alpha0) * (trace_1_column_134_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_135_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate21 = (RangeCheck_9_9_alpha0) * (trace_1_column_137_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_138_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate22 = (RangeCheck_9_9_alpha0) * (trace_1_column_139_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_140_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate23 = (RangeCheck_9_9_alpha0) * (trace_1_column_141_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_142_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate24 = (RangeCheck_9_9_alpha0) * (trace_1_column_143_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_144_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate25 = (RangeCheck_9_9_alpha0) * (trace_1_column_145_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_146_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate26 = (RangeCheck_9_9_alpha0) * (trace_1_column_147_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_148_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate27 = (RangeCheck_9_9_alpha0) * (trace_1_column_149_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_150_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate28 = (RangeCheck_9_9_alpha0) * (trace_1_column_151_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_152_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate29 = (RangeCheck_9_9_alpha0) * (trace_1_column_153_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_154_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate30 = (RangeCheck_9_9_alpha0) * (trace_1_column_155_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_156_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate31 = (RangeCheck_9_9_alpha0) * (trace_1_column_157_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_158_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate32 = (RangeCheck_9_9_alpha0) * (trace_1_column_159_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_160_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate33 = (RangeCheck_9_9_alpha0) * (trace_1_column_161_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_162_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate34 = (RangeCheck_9_9_alpha0) * (trace_1_column_163_offset_0) +// + (RangeCheck_9_9_alpha1) * (trace_1_column_164_offset_0) +// - (RangeCheck_9_9_z); + +// let intermediate35 = (RangeCheck_19_alpha0) * (trace_1_column_165_offset_0 + m31(262144).into()) +// - (RangeCheck_19_z); + +// let intermediate36 = (RangeCheck_19_alpha0) * (trace_1_column_166_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate37 = (RangeCheck_19_alpha0) * (trace_1_column_167_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate38 = (RangeCheck_19_alpha0) * (trace_1_column_168_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate39 = (RangeCheck_19_alpha0) * (trace_1_column_169_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate40 = (RangeCheck_19_alpha0) * (trace_1_column_170_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate41 = (RangeCheck_19_alpha0) * (trace_1_column_171_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate42 = (RangeCheck_19_alpha0) * (trace_1_column_172_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate43 = (RangeCheck_19_alpha0) * (trace_1_column_173_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate44 = (RangeCheck_19_alpha0) * (trace_1_column_174_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate45 = (RangeCheck_19_alpha0) * (trace_1_column_175_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate46 = (RangeCheck_19_alpha0) * (trace_1_column_176_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate47 = (RangeCheck_19_alpha0) * (trace_1_column_177_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate48 = (RangeCheck_19_alpha0) * (trace_1_column_178_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate49 = (RangeCheck_19_alpha0) * (trace_1_column_179_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate50 = (RangeCheck_19_alpha0) * (trace_1_column_180_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate51 = (RangeCheck_19_alpha0) * (trace_1_column_181_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate52 = (RangeCheck_19_alpha0) * (trace_1_column_182_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate53 = (RangeCheck_19_alpha0) * (trace_1_column_183_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate54 = (RangeCheck_19_alpha0) * (trace_1_column_184_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate55 = (RangeCheck_19_alpha0) * (trace_1_column_185_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate56 = (RangeCheck_19_alpha0) * (trace_1_column_186_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate57 = (RangeCheck_19_alpha0) * (trace_1_column_187_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate58 = (RangeCheck_19_alpha0) * (trace_1_column_188_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate59 = (RangeCheck_19_alpha0) * (trace_1_column_189_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate60 = (RangeCheck_19_alpha0) * (trace_1_column_190_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate61 = (RangeCheck_19_alpha0) * (trace_1_column_191_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate62 = (RangeCheck_19_alpha0) * (trace_1_column_192_offset_0 + m31(131072).into()) +// - (RangeCheck_19_z); + +// let intermediate63 = (Vm_alpha0) * (trace_1_column_0_offset_0) +// + (Vm_alpha1) * (trace_1_column_1_offset_0) +// + (Vm_alpha2) * (trace_1_column_2_offset_0) +// - (Vm_z); + +// let intermediate64 = (Vm_alpha0) +// * ((m31(1).into() +// - (trace_1_column_13_offset_0) +// - (trace_1_column_14_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_0_offset_0 + m31(1).into() + trace_1_column_8_offset_0) +// + (trace_1_column_13_offset_0) +// * (trace_1_column_193_offset_0 +// + (trace_1_column_194_offset_0) * (m31(512).into()) +// + (trace_1_column_195_offset_0) * (m31(262144).into())) +// + (trace_1_column_14_offset_0) +// * (trace_1_column_0_offset_0 +// + trace_1_column_193_offset_0 +// + (trace_1_column_194_offset_0) * (m31(512).into()) +// + (trace_1_column_195_offset_0) * (m31(262144).into()) +// - (trace_1_column_221_offset_0) +// - ((m31(134217728).into()) * (trace_1_column_222_offset_0))) +// + (trace_1_column_15_offset_0) * (trace_1_column_228_offset_0)) +// + (Vm_alpha1) +// * (trace_1_column_1_offset_0 +// + (trace_1_column_16_offset_0) +// * (trace_1_column_193_offset_0 +// + (trace_1_column_194_offset_0) * (m31(512).into()) +// + (trace_1_column_195_offset_0) * (m31(262144).into()) +// - (trace_1_column_221_offset_0) +// - ((m31(134217728).into()) * (trace_1_column_222_offset_0))) +// + trace_1_column_17_offset_0 +// + (trace_1_column_18_offset_0) * (m31(2).into())) +// + (Vm_alpha2) +// * ((m31(1).into() - (trace_1_column_18_offset_0) - (trace_1_column_19_offset_0)) +// * (trace_1_column_2_offset_0) +// + (trace_1_column_19_offset_0) +// * (trace_1_column_22_offset_0 +// + (trace_1_column_23_offset_0) * (m31(512).into()) +// + (trace_1_column_24_offset_0) * (m31(262144).into())) +// + (trace_1_column_18_offset_0) * (trace_1_column_1_offset_0 + m31(2).into())) +// - (Vm_z); + +// let constraint_0 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (m31(1).into() +// - (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0))); + +// let constraint_1 = (m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (m31(1).into() +// - (m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0))); + +// let constraint_2 = (m31(1).into() +// - (trace_1_column_13_offset_0) +// - (trace_1_column_14_offset_0) +// - (trace_1_column_15_offset_0)) +// * (m31(1).into() +// - (m31(1).into() +// - (trace_1_column_13_offset_0) +// - (trace_1_column_14_offset_0) +// - (trace_1_column_15_offset_0))); + +// let constraint_3 = (m31(1).into() +// - (trace_1_column_16_offset_0) +// - (trace_1_column_17_offset_0) +// - (trace_1_column_18_offset_0)) +// * (m31(1).into() +// - (m31(1).into() +// - (trace_1_column_16_offset_0) +// - (trace_1_column_17_offset_0) +// - (trace_1_column_18_offset_0))); + +// let constraint_4 = (m31(1).into() - (trace_1_column_18_offset_0) - (trace_1_column_19_offset_0)) +// * (m31(1).into() +// - (m31(1).into() - (trace_1_column_18_offset_0) - (trace_1_column_19_offset_0))); + +// let constraint_5 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_229_offset_0, trace_2_column_230_offset_0, trace_2_column_231_offset_0, +// trace_2_column_232_offset_0, +// ], +// )) +// * (intermediate0) +// - (qm31(1, 0, 0, 0)); + +// let constraint_6 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_233_offset_0, trace_2_column_234_offset_0, trace_2_column_235_offset_0, +// trace_2_column_236_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_229_offset_0, trace_2_column_230_offset_0, +// trace_2_column_231_offset_0, trace_2_column_232_offset_0, +// ], +// ))) +// * (intermediate1) +// - (qm31(1, 0, 0, 0)); + +// let constraint_7 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_237_offset_0, trace_2_column_238_offset_0, trace_2_column_239_offset_0, +// trace_2_column_240_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_233_offset_0, trace_2_column_234_offset_0, +// trace_2_column_235_offset_0, trace_2_column_236_offset_0, +// ], +// ))) +// * (intermediate2) +// - (qm31(1, 0, 0, 0)); + +// let constraint_8 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_241_offset_0, trace_2_column_242_offset_0, trace_2_column_243_offset_0, +// trace_2_column_244_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_237_offset_0, trace_2_column_238_offset_0, +// trace_2_column_239_offset_0, trace_2_column_240_offset_0, +// ], +// ))) +// * (intermediate3) +// - (qm31(1, 0, 0, 0)); + +// let constraint_9 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_54_offset_0); + +// let constraint_10 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_55_offset_0); + +// let constraint_11 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_56_offset_0); + +// let constraint_12 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_57_offset_0); + +// let constraint_13 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_58_offset_0); + +// let constraint_14 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_59_offset_0); + +// let constraint_15 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_60_offset_0); + +// let constraint_16 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_61_offset_0); + +// let constraint_17 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_62_offset_0); + +// let constraint_18 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_63_offset_0); + +// let constraint_19 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_64_offset_0); + +// let constraint_20 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_65_offset_0); + +// let constraint_21 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_66_offset_0); + +// let constraint_22 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_67_offset_0); + +// let constraint_23 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_68_offset_0); + +// let constraint_24 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_69_offset_0); + +// let constraint_25 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_70_offset_0); + +// let constraint_26 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_71_offset_0); + +// let constraint_27 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_72_offset_0); + +// let constraint_28 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_73_offset_0); + +// let constraint_29 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_74_offset_0); + +// let constraint_30 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_75_offset_0); + +// let constraint_31 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_76_offset_0); + +// let constraint_32 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_77_offset_0); + +// let constraint_33 = (m31(1).into() +// - (trace_1_column_8_offset_0) +// - (trace_1_column_9_offset_0) +// - (trace_1_column_10_offset_0)) +// * (trace_1_column_78_offset_0); + +// let constraint_34 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_245_offset_0, trace_2_column_246_offset_0, trace_2_column_247_offset_0, +// trace_2_column_248_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_241_offset_0, trace_2_column_242_offset_0, +// trace_2_column_243_offset_0, trace_2_column_244_offset_0, +// ], +// ))) +// * (intermediate4) +// - (qm31(1, 0, 0, 0)); + +// let constraint_35 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_249_offset_0, trace_2_column_250_offset_0, trace_2_column_251_offset_0, +// trace_2_column_252_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_245_offset_0, trace_2_column_246_offset_0, +// trace_2_column_247_offset_0, trace_2_column_248_offset_0, +// ], +// ))) +// * (intermediate5) +// - (qm31(1, 0, 0, 0)); + +// let constraint_36 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_253_offset_0, trace_2_column_254_offset_0, trace_2_column_255_offset_0, +// trace_2_column_256_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_249_offset_0, trace_2_column_250_offset_0, +// trace_2_column_251_offset_0, trace_2_column_252_offset_0, +// ], +// ))) +// * (intermediate6) +// - (qm31(1, 0, 0, 0)); + +// let constraint_37 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_257_offset_0, trace_2_column_258_offset_0, trace_2_column_259_offset_0, +// trace_2_column_260_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_253_offset_0, trace_2_column_254_offset_0, +// trace_2_column_255_offset_0, trace_2_column_256_offset_0, +// ], +// ))) +// * (intermediate7) +// - (qm31(1, 0, 0, 0)); + +// let constraint_38 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_261_offset_0, trace_2_column_262_offset_0, trace_2_column_263_offset_0, +// trace_2_column_264_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_257_offset_0, trace_2_column_258_offset_0, +// trace_2_column_259_offset_0, trace_2_column_260_offset_0, +// ], +// ))) +// * (intermediate8) +// - (qm31(1, 0, 0, 0)); + +// let constraint_39 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_265_offset_0, trace_2_column_266_offset_0, trace_2_column_267_offset_0, +// trace_2_column_268_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_261_offset_0, trace_2_column_262_offset_0, +// trace_2_column_263_offset_0, trace_2_column_264_offset_0, +// ], +// ))) +// * (intermediate9) +// - (qm31(1, 0, 0, 0)); + +// let constraint_40 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_269_offset_0, trace_2_column_270_offset_0, trace_2_column_271_offset_0, +// trace_2_column_272_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_265_offset_0, trace_2_column_266_offset_0, +// trace_2_column_267_offset_0, trace_2_column_268_offset_0, +// ], +// ))) +// * (intermediate10) +// - (qm31(1, 0, 0, 0)); + +// let constraint_41 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_273_offset_0, trace_2_column_274_offset_0, trace_2_column_275_offset_0, +// trace_2_column_276_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_269_offset_0, trace_2_column_270_offset_0, +// trace_2_column_271_offset_0, trace_2_column_272_offset_0, +// ], +// ))) +// * (intermediate11) +// - (qm31(1, 0, 0, 0)); + +// let constraint_42 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_277_offset_0, trace_2_column_278_offset_0, trace_2_column_279_offset_0, +// trace_2_column_280_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_273_offset_0, trace_2_column_274_offset_0, +// trace_2_column_275_offset_0, trace_2_column_276_offset_0, +// ], +// ))) +// * (intermediate12) +// - (qm31(1, 0, 0, 0)); + +// let constraint_43 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_281_offset_0, trace_2_column_282_offset_0, trace_2_column_283_offset_0, +// trace_2_column_284_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_277_offset_0, trace_2_column_278_offset_0, +// trace_2_column_279_offset_0, trace_2_column_280_offset_0, +// ], +// ))) +// * (intermediate13) +// - (qm31(1, 0, 0, 0)); + +// let constraint_44 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_285_offset_0, trace_2_column_286_offset_0, trace_2_column_287_offset_0, +// trace_2_column_288_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_281_offset_0, trace_2_column_282_offset_0, +// trace_2_column_283_offset_0, trace_2_column_284_offset_0, +// ], +// ))) +// * (intermediate14) +// - (qm31(1, 0, 0, 0)); + +// let constraint_45 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_289_offset_0, trace_2_column_290_offset_0, trace_2_column_291_offset_0, +// trace_2_column_292_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_285_offset_0, trace_2_column_286_offset_0, +// trace_2_column_287_offset_0, trace_2_column_288_offset_0, +// ], +// ))) +// * (intermediate15) +// - (qm31(1, 0, 0, 0)); + +// let constraint_46 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_293_offset_0, trace_2_column_294_offset_0, trace_2_column_295_offset_0, +// trace_2_column_296_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_289_offset_0, trace_2_column_290_offset_0, +// trace_2_column_291_offset_0, trace_2_column_292_offset_0, +// ], +// ))) +// * (intermediate16) +// - (qm31(1, 0, 0, 0)); + +// let constraint_47 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_297_offset_0, trace_2_column_298_offset_0, trace_2_column_299_offset_0, +// trace_2_column_300_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_293_offset_0, trace_2_column_294_offset_0, +// trace_2_column_295_offset_0, trace_2_column_296_offset_0, +// ], +// ))) +// * (intermediate17) +// - (qm31(1, 0, 0, 0)); + +// let constraint_48 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_301_offset_0, trace_2_column_302_offset_0, trace_2_column_303_offset_0, +// trace_2_column_304_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_297_offset_0, trace_2_column_298_offset_0, +// trace_2_column_299_offset_0, trace_2_column_300_offset_0, +// ], +// ))) +// * (intermediate18) +// - (qm31(1, 0, 0, 0)); + +// let constraint_49 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_305_offset_0, trace_2_column_306_offset_0, trace_2_column_307_offset_0, +// trace_2_column_308_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_301_offset_0, trace_2_column_302_offset_0, +// trace_2_column_303_offset_0, trace_2_column_304_offset_0, +// ], +// ))) +// * (intermediate19) +// - (qm31(1, 0, 0, 0)); + +// let constraint_50 = (trace_1_column_136_offset_0) +// * (trace_1_column_136_offset_0 - (m31(1).into())); + +// let constraint_51 = ((trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_52 = ((trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_53 = ((trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_54 = ((trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_55 = ((trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_56 = ((trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_57 = ((trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_58 = ((trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_59 = ((trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_60 = ((trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_61 = ((trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_62 = ((trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_63 = ((trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_64 = ((trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_65 = ((trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_66 = ((trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_67 = ((trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_68 = ((trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_69 = ((trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_70 = ((trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_71 = ((trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_72 = ((trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + trace_1_column_85_offset_0 +// + (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into())) +// * (((trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into())) +// * ((trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_73 = ((trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + trace_1_column_86_offset_0 +// + (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + +// trace_1_column_87_offset_0 +// + +// (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_74 = ((trace_1_column_74_offset_0 +// + trace_1_column_103_offset_0 +// + (trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + trace_1_column_87_offset_0 +// + (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + +// trace_1_column_80_offset_0 +// - +// (trace_1_column_108_offset_0) +// - +// (trace_1_column_136_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_131_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_74_offset_0 +// + trace_1_column_103_offset_0 +// + (trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + +// trace_1_column_87_offset_0 +// + +// (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_131_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_74_offset_0 +// + trace_1_column_103_offset_0 +// + (trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + +// trace_1_column_88_offset_0 +// + +// (trace_1_column_58_offset_0 +// + +// trace_1_column_87_offset_0 +// + +// (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_131_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_75 = ((trace_1_column_75_offset_0 +// + trace_1_column_104_offset_0 +// + (trace_1_column_74_offset_0 +// + trace_1_column_103_offset_0 +// + (trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + trace_1_column_88_offset_0 +// + (trace_1_column_58_offset_0 +// + +// trace_1_column_87_offset_0 +// + +// (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + +// trace_1_column_81_offset_0 +// + +// (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_109_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_131_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_132_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_75_offset_0 +// + trace_1_column_104_offset_0 +// + (trace_1_column_74_offset_0 +// + trace_1_column_103_offset_0 +// + (trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + +// trace_1_column_88_offset_0 +// + +// (trace_1_column_58_offset_0 +// + +// trace_1_column_87_offset_0 +// + +// (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_131_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_132_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_75_offset_0 +// + trace_1_column_104_offset_0 +// + (trace_1_column_74_offset_0 +// + trace_1_column_103_offset_0 +// + (trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + +// trace_1_column_89_offset_0 +// + +// (trace_1_column_59_offset_0 +// + +// trace_1_column_88_offset_0 +// + +// (trace_1_column_58_offset_0 +// + +// trace_1_column_87_offset_0 +// + +// (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_110_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_116_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_131_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_132_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_76 = ((trace_1_column_76_offset_0 +// + trace_1_column_105_offset_0 +// + (trace_1_column_75_offset_0 +// + trace_1_column_104_offset_0 +// + (trace_1_column_74_offset_0 +// + trace_1_column_103_offset_0 +// + (trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + trace_1_column_89_offset_0 +// + (trace_1_column_59_offset_0 +// + +// trace_1_column_88_offset_0 +// + +// (trace_1_column_58_offset_0 +// + +// trace_1_column_87_offset_0 +// + +// (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + +// trace_1_column_82_offset_0 +// + +// (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_110_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_116_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_131_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_132_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_133_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_76_offset_0 +// + trace_1_column_105_offset_0 +// + (trace_1_column_75_offset_0 +// + trace_1_column_104_offset_0 +// + (trace_1_column_74_offset_0 +// + trace_1_column_103_offset_0 +// + (trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + +// trace_1_column_89_offset_0 +// + +// (trace_1_column_59_offset_0 +// + +// trace_1_column_88_offset_0 +// + +// (trace_1_column_58_offset_0 +// + +// trace_1_column_87_offset_0 +// + +// (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_110_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_116_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_131_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_132_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_133_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_76_offset_0 +// + trace_1_column_105_offset_0 +// + (trace_1_column_75_offset_0 +// + trace_1_column_104_offset_0 +// + (trace_1_column_74_offset_0 +// + trace_1_column_103_offset_0 +// + (trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + +// trace_1_column_90_offset_0 +// + +// (trace_1_column_60_offset_0 +// + +// trace_1_column_89_offset_0 +// + +// (trace_1_column_59_offset_0 +// + +// trace_1_column_88_offset_0 +// + +// (trace_1_column_58_offset_0 +// + +// trace_1_column_87_offset_0 +// + +// (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_110_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_111_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_116_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_117_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_131_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_132_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_133_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_77 = ((trace_1_column_77_offset_0 +// + trace_1_column_106_offset_0 +// + (trace_1_column_76_offset_0 +// + trace_1_column_105_offset_0 +// + (trace_1_column_75_offset_0 +// + trace_1_column_104_offset_0 +// + (trace_1_column_74_offset_0 +// + trace_1_column_103_offset_0 +// + (trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + trace_1_column_90_offset_0 +// + (trace_1_column_60_offset_0 +// + +// trace_1_column_89_offset_0 +// + +// (trace_1_column_59_offset_0 +// + +// trace_1_column_88_offset_0 +// + +// (trace_1_column_58_offset_0 +// + +// trace_1_column_87_offset_0 +// + +// (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + +// trace_1_column_83_offset_0 +// + +// (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_110_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_111_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_116_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_117_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_131_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_132_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_133_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_134_offset_0)) +// * (m31(4194304).into())) +// * (((trace_1_column_77_offset_0 +// + trace_1_column_106_offset_0 +// + (trace_1_column_76_offset_0 +// + trace_1_column_105_offset_0 +// + (trace_1_column_75_offset_0 +// + trace_1_column_104_offset_0 +// + (trace_1_column_74_offset_0 +// + trace_1_column_103_offset_0 +// + (trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + +// trace_1_column_90_offset_0 +// + +// (trace_1_column_60_offset_0 +// + +// trace_1_column_89_offset_0 +// + +// (trace_1_column_59_offset_0 +// + +// trace_1_column_88_offset_0 +// + +// (trace_1_column_58_offset_0 +// + +// trace_1_column_87_offset_0 +// + +// (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_110_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_111_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_116_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_117_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_131_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_132_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_133_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_134_offset_0)) +// * (m31(4194304).into())) +// * ((trace_1_column_77_offset_0 +// + trace_1_column_106_offset_0 +// + (trace_1_column_76_offset_0 +// + trace_1_column_105_offset_0 +// + (trace_1_column_75_offset_0 +// + trace_1_column_104_offset_0 +// + (trace_1_column_74_offset_0 +// + trace_1_column_103_offset_0 +// + (trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + +// trace_1_column_91_offset_0 +// + +// (trace_1_column_61_offset_0 +// + +// trace_1_column_90_offset_0 +// + +// (trace_1_column_60_offset_0 +// + +// trace_1_column_89_offset_0 +// + +// (trace_1_column_59_offset_0 +// + +// trace_1_column_88_offset_0 +// + +// (trace_1_column_58_offset_0 +// + +// trace_1_column_87_offset_0 +// + +// (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + trace_1_column_84_offset_0 +// + (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_110_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_111_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_112_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_116_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_117_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_118_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_131_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_132_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_133_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_134_offset_0)) +// * (m31(4194304).into())) +// - (m31(1).into())); + +// let constraint_78 = trace_1_column_78_offset_0 +// + trace_1_column_107_offset_0 +// + (trace_1_column_77_offset_0 +// + trace_1_column_106_offset_0 +// + (trace_1_column_76_offset_0 +// + trace_1_column_105_offset_0 +// + (trace_1_column_75_offset_0 +// + trace_1_column_104_offset_0 +// + (trace_1_column_74_offset_0 +// + trace_1_column_103_offset_0 +// + (trace_1_column_73_offset_0 +// + trace_1_column_102_offset_0 +// + (trace_1_column_72_offset_0 +// + trace_1_column_101_offset_0 +// + (trace_1_column_71_offset_0 +// + trace_1_column_100_offset_0 +// + (trace_1_column_70_offset_0 +// + trace_1_column_99_offset_0 +// + (trace_1_column_69_offset_0 +// + trace_1_column_98_offset_0 +// + (trace_1_column_68_offset_0 +// + trace_1_column_97_offset_0 +// + (trace_1_column_67_offset_0 +// + trace_1_column_96_offset_0 +// + (trace_1_column_66_offset_0 +// + trace_1_column_95_offset_0 +// + (trace_1_column_65_offset_0 +// + trace_1_column_94_offset_0 +// + (trace_1_column_64_offset_0 +// + trace_1_column_93_offset_0 +// + (trace_1_column_63_offset_0 +// + trace_1_column_92_offset_0 +// + (trace_1_column_62_offset_0 +// + trace_1_column_91_offset_0 +// + (trace_1_column_61_offset_0 +// + +// trace_1_column_90_offset_0 +// + +// (trace_1_column_60_offset_0 +// + +// trace_1_column_89_offset_0 +// + +// (trace_1_column_59_offset_0 +// + +// trace_1_column_88_offset_0 +// + +// (trace_1_column_58_offset_0 +// + +// trace_1_column_87_offset_0 +// + +// (trace_1_column_57_offset_0 +// + +// trace_1_column_86_offset_0 +// + +// (trace_1_column_56_offset_0 +// + +// trace_1_column_85_offset_0 +// + +// (trace_1_column_55_offset_0 +// + +// trace_1_column_84_offset_0 +// + +// (trace_1_column_54_offset_0 +// + trace_1_column_83_offset_0 +// + (trace_1_column_53_offset_0 +// + trace_1_column_82_offset_0 +// + (trace_1_column_52_offset_0 +// + trace_1_column_81_offset_0 +// + (trace_1_column_51_offset_0 +// + trace_1_column_80_offset_0 +// - (trace_1_column_108_offset_0) +// - (trace_1_column_136_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_109_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_110_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - (trace_1_column_111_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_112_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_113_offset_0)) +// * +// (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_114_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_115_offset_0)) +// * (m31( +// 4194304, +// ) +// .into()) +// - +// (trace_1_column_116_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_117_offset_0)) +// * (m31(4194304) +// .into()) +// - +// (trace_1_column_118_offset_0)) +// * (m31(4194304).into()) +// - +// (trace_1_column_119_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_120_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_121_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_122_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_123_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_124_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_125_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_126_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_127_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_128_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_129_offset_0) +// - ((m31(136).into()) * (trace_1_column_136_offset_0))) +// * (m31(4194304).into()) +// - (trace_1_column_130_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_131_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_132_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_133_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_134_offset_0)) +// * (m31(4194304).into()) +// - (trace_1_column_135_offset_0) +// - ((m31(256).into()) * (trace_1_column_136_offset_0)); + +// let constraint_79 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_309_offset_0, trace_2_column_310_offset_0, trace_2_column_311_offset_0, +// trace_2_column_312_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_305_offset_0, trace_2_column_306_offset_0, +// trace_2_column_307_offset_0, trace_2_column_308_offset_0, +// ], +// ))) +// * (intermediate20) +// - (qm31(1, 0, 0, 0)); + +// let constraint_80 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_313_offset_0, trace_2_column_314_offset_0, trace_2_column_315_offset_0, +// trace_2_column_316_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_309_offset_0, trace_2_column_310_offset_0, +// trace_2_column_311_offset_0, trace_2_column_312_offset_0, +// ], +// ))) +// * (intermediate21) +// - (qm31(1, 0, 0, 0)); + +// let constraint_81 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_317_offset_0, trace_2_column_318_offset_0, trace_2_column_319_offset_0, +// trace_2_column_320_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_313_offset_0, trace_2_column_314_offset_0, +// trace_2_column_315_offset_0, trace_2_column_316_offset_0, +// ], +// ))) +// * (intermediate22) +// - (qm31(1, 0, 0, 0)); + +// let constraint_82 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_321_offset_0, trace_2_column_322_offset_0, trace_2_column_323_offset_0, +// trace_2_column_324_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_317_offset_0, trace_2_column_318_offset_0, +// trace_2_column_319_offset_0, trace_2_column_320_offset_0, +// ], +// ))) +// * (intermediate23) +// - (qm31(1, 0, 0, 0)); + +// let constraint_83 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_325_offset_0, trace_2_column_326_offset_0, trace_2_column_327_offset_0, +// trace_2_column_328_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_321_offset_0, trace_2_column_322_offset_0, +// trace_2_column_323_offset_0, trace_2_column_324_offset_0, +// ], +// ))) +// * (intermediate24) +// - (qm31(1, 0, 0, 0)); + +// let constraint_84 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_329_offset_0, trace_2_column_330_offset_0, trace_2_column_331_offset_0, +// trace_2_column_332_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_325_offset_0, trace_2_column_326_offset_0, +// trace_2_column_327_offset_0, trace_2_column_328_offset_0, +// ], +// ))) +// * (intermediate25) +// - (qm31(1, 0, 0, 0)); + +// let constraint_85 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_333_offset_0, trace_2_column_334_offset_0, trace_2_column_335_offset_0, +// trace_2_column_336_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_329_offset_0, trace_2_column_330_offset_0, +// trace_2_column_331_offset_0, trace_2_column_332_offset_0, +// ], +// ))) +// * (intermediate26) +// - (qm31(1, 0, 0, 0)); + +// let constraint_86 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_337_offset_0, trace_2_column_338_offset_0, trace_2_column_339_offset_0, +// trace_2_column_340_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_333_offset_0, trace_2_column_334_offset_0, +// trace_2_column_335_offset_0, trace_2_column_336_offset_0, +// ], +// ))) +// * (intermediate27) +// - (qm31(1, 0, 0, 0)); + +// let constraint_87 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_341_offset_0, trace_2_column_342_offset_0, trace_2_column_343_offset_0, +// trace_2_column_344_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_337_offset_0, trace_2_column_338_offset_0, +// trace_2_column_339_offset_0, trace_2_column_340_offset_0, +// ], +// ))) +// * (intermediate28) +// - (qm31(1, 0, 0, 0)); + +// let constraint_88 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_345_offset_0, trace_2_column_346_offset_0, trace_2_column_347_offset_0, +// trace_2_column_348_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_341_offset_0, trace_2_column_342_offset_0, +// trace_2_column_343_offset_0, trace_2_column_344_offset_0, +// ], +// ))) +// * (intermediate29) +// - (qm31(1, 0, 0, 0)); + +// let constraint_89 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_349_offset_0, trace_2_column_350_offset_0, trace_2_column_351_offset_0, +// trace_2_column_352_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_345_offset_0, trace_2_column_346_offset_0, +// trace_2_column_347_offset_0, trace_2_column_348_offset_0, +// ], +// ))) +// * (intermediate30) +// - (qm31(1, 0, 0, 0)); + +// let constraint_90 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_353_offset_0, trace_2_column_354_offset_0, trace_2_column_355_offset_0, +// trace_2_column_356_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_349_offset_0, trace_2_column_350_offset_0, +// trace_2_column_351_offset_0, trace_2_column_352_offset_0, +// ], +// ))) +// * (intermediate31) +// - (qm31(1, 0, 0, 0)); + +// let constraint_91 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_357_offset_0, trace_2_column_358_offset_0, trace_2_column_359_offset_0, +// trace_2_column_360_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_353_offset_0, trace_2_column_354_offset_0, +// trace_2_column_355_offset_0, trace_2_column_356_offset_0, +// ], +// ))) +// * (intermediate32) +// - (qm31(1, 0, 0, 0)); + +// let constraint_92 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_361_offset_0, trace_2_column_362_offset_0, trace_2_column_363_offset_0, +// trace_2_column_364_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_357_offset_0, trace_2_column_358_offset_0, +// trace_2_column_359_offset_0, trace_2_column_360_offset_0, +// ], +// ))) +// * (intermediate33) +// - (qm31(1, 0, 0, 0)); + +// let constraint_93 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_365_offset_0, trace_2_column_366_offset_0, trace_2_column_367_offset_0, +// trace_2_column_368_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_361_offset_0, trace_2_column_362_offset_0, +// trace_2_column_363_offset_0, trace_2_column_364_offset_0, +// ], +// ))) +// * (intermediate34) +// - (qm31(1, 0, 0, 0)); + +// let constraint_94 = (trace_1_column_166_offset_0) * (m31(512).into()) +// - ((m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_80_offset_0) +// - (trace_1_column_137_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_101_offset_0) +// - (trace_1_column_158_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_80_offset_0))) +// + (m31(8).into()) +// * ((trace_1_column_73_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_102_offset_0)) +// - (trace_1_column_165_offset_0)); + +// let constraint_95 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_369_offset_0, trace_2_column_370_offset_0, trace_2_column_371_offset_0, +// trace_2_column_372_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_365_offset_0, trace_2_column_366_offset_0, +// trace_2_column_367_offset_0, trace_2_column_368_offset_0, +// ], +// ))) +// * (intermediate35) +// - (qm31(1, 0, 0, 0)); + +// let constraint_96 = (trace_1_column_167_offset_0) * (m31(512).into()) +// - ((trace_1_column_51_offset_0) * (trace_1_column_80_offset_0) +// - (trace_1_column_137_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_81_offset_0) +// - (trace_1_column_138_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_102_offset_0) +// - (trace_1_column_159_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_80_offset_0))) +// + (m31(8).into()) +// * ((trace_1_column_74_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_103_offset_0)) +// + trace_1_column_166_offset_0); + +// let constraint_97 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_373_offset_0, trace_2_column_374_offset_0, trace_2_column_375_offset_0, +// trace_2_column_376_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_369_offset_0, trace_2_column_370_offset_0, +// trace_2_column_371_offset_0, trace_2_column_372_offset_0, +// ], +// ))) +// * (intermediate36) +// - (qm31(1, 0, 0, 0)); + +// let constraint_98 = (trace_1_column_168_offset_0) * (m31(512).into()) +// - ((trace_1_column_51_offset_0) * (trace_1_column_81_offset_0) +// - (trace_1_column_138_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_82_offset_0) +// - (trace_1_column_139_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_103_offset_0) +// - (trace_1_column_160_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_80_offset_0))) +// + (m31(8).into()) +// * ((trace_1_column_75_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_104_offset_0)) +// + trace_1_column_167_offset_0); + +// let constraint_99 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_377_offset_0, trace_2_column_378_offset_0, trace_2_column_379_offset_0, +// trace_2_column_380_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_373_offset_0, trace_2_column_374_offset_0, +// trace_2_column_375_offset_0, trace_2_column_376_offset_0, +// ], +// ))) +// * (intermediate37) +// - (qm31(1, 0, 0, 0)); + +// let constraint_100 = (trace_1_column_169_offset_0) * (m31(512).into()) +// - ((trace_1_column_51_offset_0) * (trace_1_column_82_offset_0) +// - (trace_1_column_139_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_83_offset_0) +// - (trace_1_column_140_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_104_offset_0) +// - (trace_1_column_161_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_80_offset_0))) +// + (m31(8).into()) +// * ((trace_1_column_76_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_105_offset_0)) +// + trace_1_column_168_offset_0); + +// let constraint_101 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_381_offset_0, trace_2_column_382_offset_0, trace_2_column_383_offset_0, +// trace_2_column_384_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_377_offset_0, trace_2_column_378_offset_0, +// trace_2_column_379_offset_0, trace_2_column_380_offset_0, +// ], +// ))) +// * (intermediate38) +// - (qm31(1, 0, 0, 0)); + +// let constraint_102 = (trace_1_column_170_offset_0) * (m31(512).into()) +// - ((trace_1_column_51_offset_0) * (trace_1_column_83_offset_0) +// - (trace_1_column_140_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_84_offset_0) +// - (trace_1_column_141_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_105_offset_0) +// - (trace_1_column_162_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_80_offset_0))) +// + (m31(8).into()) +// * ((trace_1_column_77_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_106_offset_0)) +// + trace_1_column_169_offset_0); + +// let constraint_103 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_385_offset_0, trace_2_column_386_offset_0, trace_2_column_387_offset_0, +// trace_2_column_388_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_381_offset_0, trace_2_column_382_offset_0, +// trace_2_column_383_offset_0, trace_2_column_384_offset_0, +// ], +// ))) +// * (intermediate39) +// - (qm31(1, 0, 0, 0)); + +// let constraint_104 = (trace_1_column_171_offset_0) * (m31(512).into()) +// - ((trace_1_column_51_offset_0) * (trace_1_column_84_offset_0) +// - (trace_1_column_141_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_85_offset_0) +// - (trace_1_column_142_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_106_offset_0) +// - (trace_1_column_163_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_80_offset_0))) +// + (m31(8).into()) * ((trace_1_column_78_offset_0) * (trace_1_column_107_offset_0)) +// + trace_1_column_170_offset_0); + +// let constraint_105 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_389_offset_0, trace_2_column_390_offset_0, trace_2_column_391_offset_0, +// trace_2_column_392_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_385_offset_0, trace_2_column_386_offset_0, +// trace_2_column_387_offset_0, trace_2_column_388_offset_0, +// ], +// ))) +// * (intermediate40) +// - (qm31(1, 0, 0, 0)); + +// let constraint_106 = (trace_1_column_172_offset_0) * (m31(512).into()) +// - ((trace_1_column_51_offset_0) * (trace_1_column_85_offset_0) +// - (trace_1_column_142_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_86_offset_0) +// - (trace_1_column_143_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_107_offset_0) +// - (trace_1_column_164_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_80_offset_0))) +// + trace_1_column_171_offset_0); + +// let constraint_107 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_393_offset_0, trace_2_column_394_offset_0, trace_2_column_395_offset_0, +// trace_2_column_396_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_389_offset_0, trace_2_column_390_offset_0, +// trace_2_column_391_offset_0, trace_2_column_392_offset_0, +// ], +// ))) +// * (intermediate41) +// - (qm31(1, 0, 0, 0)); + +// let constraint_108 = (trace_1_column_173_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_80_offset_0) +// - (trace_1_column_137_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_86_offset_0) +// - (trace_1_column_143_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_87_offset_0) +// - (trace_1_column_144_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_52_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_81_offset_0))) +// + trace_1_column_172_offset_0); + +// let constraint_109 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_397_offset_0, trace_2_column_398_offset_0, trace_2_column_399_offset_0, +// trace_2_column_400_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_393_offset_0, trace_2_column_394_offset_0, +// trace_2_column_395_offset_0, trace_2_column_396_offset_0, +// ], +// ))) +// * (intermediate42) +// - (qm31(1, 0, 0, 0)); + +// let constraint_110 = (trace_1_column_174_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_81_offset_0) +// - (trace_1_column_138_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_87_offset_0) +// - (trace_1_column_144_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_88_offset_0) +// - (trace_1_column_145_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_53_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_82_offset_0))) +// + trace_1_column_173_offset_0); + +// let constraint_111 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_401_offset_0, trace_2_column_402_offset_0, trace_2_column_403_offset_0, +// trace_2_column_404_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_397_offset_0, trace_2_column_398_offset_0, +// trace_2_column_399_offset_0, trace_2_column_400_offset_0, +// ], +// ))) +// * (intermediate43) +// - (qm31(1, 0, 0, 0)); + +// let constraint_112 = (trace_1_column_175_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_82_offset_0) +// - (trace_1_column_139_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_88_offset_0) +// - (trace_1_column_145_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_89_offset_0) +// - (trace_1_column_146_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_54_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_83_offset_0))) +// + trace_1_column_174_offset_0); + +// let constraint_113 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_405_offset_0, trace_2_column_406_offset_0, trace_2_column_407_offset_0, +// trace_2_column_408_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_401_offset_0, trace_2_column_402_offset_0, +// trace_2_column_403_offset_0, trace_2_column_404_offset_0, +// ], +// ))) +// * (intermediate44) +// - (qm31(1, 0, 0, 0)); + +// let constraint_114 = (trace_1_column_176_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_83_offset_0) +// - (trace_1_column_140_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_89_offset_0) +// - (trace_1_column_146_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_90_offset_0) +// - (trace_1_column_147_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_55_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_84_offset_0))) +// + trace_1_column_175_offset_0); + +// let constraint_115 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_409_offset_0, trace_2_column_410_offset_0, trace_2_column_411_offset_0, +// trace_2_column_412_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_405_offset_0, trace_2_column_406_offset_0, +// trace_2_column_407_offset_0, trace_2_column_408_offset_0, +// ], +// ))) +// * (intermediate45) +// - (qm31(1, 0, 0, 0)); + +// let constraint_116 = (trace_1_column_177_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_84_offset_0) +// - (trace_1_column_141_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_90_offset_0) +// - (trace_1_column_147_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_91_offset_0) +// - (trace_1_column_148_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_56_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_85_offset_0))) +// + trace_1_column_176_offset_0); + +// let constraint_117 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_413_offset_0, trace_2_column_414_offset_0, trace_2_column_415_offset_0, +// trace_2_column_416_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_409_offset_0, trace_2_column_410_offset_0, +// trace_2_column_411_offset_0, trace_2_column_412_offset_0, +// ], +// ))) +// * (intermediate46) +// - (qm31(1, 0, 0, 0)); + +// let constraint_118 = (trace_1_column_178_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_85_offset_0) +// - (trace_1_column_142_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_91_offset_0) +// - (trace_1_column_148_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_92_offset_0) +// - (trace_1_column_149_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_57_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_86_offset_0))) +// + trace_1_column_177_offset_0); + +// let constraint_119 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_417_offset_0, trace_2_column_418_offset_0, trace_2_column_419_offset_0, +// trace_2_column_420_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_413_offset_0, trace_2_column_414_offset_0, +// trace_2_column_415_offset_0, trace_2_column_416_offset_0, +// ], +// ))) +// * (intermediate47) +// - (qm31(1, 0, 0, 0)); + +// let constraint_120 = (trace_1_column_179_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_86_offset_0) +// - (trace_1_column_143_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_92_offset_0) +// - (trace_1_column_149_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_93_offset_0) +// - (trace_1_column_150_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_58_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_87_offset_0))) +// + trace_1_column_178_offset_0); + +// let constraint_121 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_421_offset_0, trace_2_column_422_offset_0, trace_2_column_423_offset_0, +// trace_2_column_424_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_417_offset_0, trace_2_column_418_offset_0, +// trace_2_column_419_offset_0, trace_2_column_420_offset_0, +// ], +// ))) +// * (intermediate48) +// - (qm31(1, 0, 0, 0)); + +// let constraint_122 = (trace_1_column_180_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_87_offset_0) +// - (trace_1_column_144_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_93_offset_0) +// - (trace_1_column_150_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_94_offset_0) +// - (trace_1_column_151_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_59_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_88_offset_0))) +// + trace_1_column_179_offset_0); + +// let constraint_123 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_425_offset_0, trace_2_column_426_offset_0, trace_2_column_427_offset_0, +// trace_2_column_428_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_421_offset_0, trace_2_column_422_offset_0, +// trace_2_column_423_offset_0, trace_2_column_424_offset_0, +// ], +// ))) +// * (intermediate49) +// - (qm31(1, 0, 0, 0)); + +// let constraint_124 = (trace_1_column_181_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_88_offset_0) +// - (trace_1_column_145_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_94_offset_0) +// - (trace_1_column_151_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_95_offset_0) +// - (trace_1_column_152_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_60_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_89_offset_0))) +// + trace_1_column_180_offset_0); + +// let constraint_125 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_429_offset_0, trace_2_column_430_offset_0, trace_2_column_431_offset_0, +// trace_2_column_432_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_425_offset_0, trace_2_column_426_offset_0, +// trace_2_column_427_offset_0, trace_2_column_428_offset_0, +// ], +// ))) +// * (intermediate50) +// - (qm31(1, 0, 0, 0)); + +// let constraint_126 = (trace_1_column_182_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_89_offset_0) +// - (trace_1_column_146_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_95_offset_0) +// - (trace_1_column_152_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_96_offset_0) +// - (trace_1_column_153_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_61_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_90_offset_0))) +// + trace_1_column_181_offset_0); + +// let constraint_127 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_433_offset_0, trace_2_column_434_offset_0, trace_2_column_435_offset_0, +// trace_2_column_436_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_429_offset_0, trace_2_column_430_offset_0, +// trace_2_column_431_offset_0, trace_2_column_432_offset_0, +// ], +// ))) +// * (intermediate51) +// - (qm31(1, 0, 0, 0)); + +// let constraint_128 = (trace_1_column_183_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_90_offset_0) +// - (trace_1_column_147_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_96_offset_0) +// - (trace_1_column_153_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_97_offset_0) +// - (trace_1_column_154_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_62_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_91_offset_0))) +// + trace_1_column_182_offset_0); + +// let constraint_129 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_437_offset_0, trace_2_column_438_offset_0, trace_2_column_439_offset_0, +// trace_2_column_440_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_433_offset_0, trace_2_column_434_offset_0, +// trace_2_column_435_offset_0, trace_2_column_436_offset_0, +// ], +// ))) +// * (intermediate52) +// - (qm31(1, 0, 0, 0)); + +// let constraint_130 = (trace_1_column_184_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_91_offset_0) +// - (trace_1_column_148_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_97_offset_0) +// - (trace_1_column_154_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_98_offset_0) +// - (trace_1_column_155_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_63_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_92_offset_0))) +// + trace_1_column_183_offset_0); + +// let constraint_131 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_441_offset_0, trace_2_column_442_offset_0, trace_2_column_443_offset_0, +// trace_2_column_444_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_437_offset_0, trace_2_column_438_offset_0, +// trace_2_column_439_offset_0, trace_2_column_440_offset_0, +// ], +// ))) +// * (intermediate53) +// - (qm31(1, 0, 0, 0)); + +// let constraint_132 = (trace_1_column_185_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_92_offset_0) +// - (trace_1_column_149_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_98_offset_0) +// - (trace_1_column_155_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_99_offset_0) +// - (trace_1_column_156_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_64_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_93_offset_0))) +// + trace_1_column_184_offset_0); + +// let constraint_133 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_445_offset_0, trace_2_column_446_offset_0, trace_2_column_447_offset_0, +// trace_2_column_448_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_441_offset_0, trace_2_column_442_offset_0, +// trace_2_column_443_offset_0, trace_2_column_444_offset_0, +// ], +// ))) +// * (intermediate54) +// - (qm31(1, 0, 0, 0)); + +// let constraint_134 = (trace_1_column_186_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_93_offset_0) +// - (trace_1_column_150_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_99_offset_0) +// - (trace_1_column_156_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_80_offset_0) +// + (m31(32).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_100_offset_0) +// - (trace_1_column_157_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_65_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_94_offset_0))) +// + trace_1_column_185_offset_0); + +// let constraint_135 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_449_offset_0, trace_2_column_450_offset_0, trace_2_column_451_offset_0, +// trace_2_column_452_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_445_offset_0, trace_2_column_446_offset_0, +// trace_2_column_447_offset_0, trace_2_column_448_offset_0, +// ], +// ))) +// * (intermediate55) +// - (qm31(1, 0, 0, 0)); + +// let constraint_136 = (trace_1_column_187_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_94_offset_0) +// - (trace_1_column_151_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_80_offset_0)) +// + (trace_1_column_51_offset_0) * (trace_1_column_100_offset_0) +// - (trace_1_column_157_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_80_offset_0) +// - ((m31(4).into()) +// * ((trace_1_column_66_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_95_offset_0))) +// + (m31(64).into()) +// * ((trace_1_column_73_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_102_offset_0)) +// - ((m31(136).into()) * (trace_1_column_165_offset_0)) +// + trace_1_column_186_offset_0); + +// let constraint_137 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_453_offset_0, trace_2_column_454_offset_0, trace_2_column_455_offset_0, +// trace_2_column_456_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_449_offset_0, trace_2_column_450_offset_0, +// trace_2_column_451_offset_0, trace_2_column_452_offset_0, +// ], +// ))) +// * (intermediate56) +// - (qm31(1, 0, 0, 0)); + +// let constraint_138 = (trace_1_column_188_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_95_offset_0) +// - (trace_1_column_152_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_67_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_96_offset_0))) +// + (m31(2).into()) +// * ((trace_1_column_73_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_102_offset_0)) +// + (m31(64).into()) +// * ((trace_1_column_74_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_103_offset_0)) +// + trace_1_column_187_offset_0); + +// let constraint_139 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_457_offset_0, trace_2_column_458_offset_0, trace_2_column_459_offset_0, +// trace_2_column_460_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_453_offset_0, trace_2_column_454_offset_0, +// trace_2_column_455_offset_0, trace_2_column_456_offset_0, +// ], +// ))) +// * (intermediate57) +// - (qm31(1, 0, 0, 0)); + +// let constraint_140 = (trace_1_column_189_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_96_offset_0) +// - (trace_1_column_153_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_68_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_97_offset_0))) +// + (m31(2).into()) +// * ((trace_1_column_74_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_103_offset_0)) +// + (m31(64).into()) +// * ((trace_1_column_75_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_104_offset_0)) +// + trace_1_column_188_offset_0); + +// let constraint_141 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_461_offset_0, trace_2_column_462_offset_0, trace_2_column_463_offset_0, +// trace_2_column_464_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_457_offset_0, trace_2_column_458_offset_0, +// trace_2_column_459_offset_0, trace_2_column_460_offset_0, +// ], +// ))) +// * (intermediate58) +// - (qm31(1, 0, 0, 0)); + +// let constraint_142 = (trace_1_column_190_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_97_offset_0) +// - (trace_1_column_154_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_69_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_98_offset_0))) +// + (m31(2).into()) +// * ((trace_1_column_75_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_104_offset_0)) +// + (m31(64).into()) +// * ((trace_1_column_76_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_105_offset_0)) +// + trace_1_column_189_offset_0); + +// let constraint_143 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_465_offset_0, trace_2_column_466_offset_0, trace_2_column_467_offset_0, +// trace_2_column_468_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_461_offset_0, trace_2_column_462_offset_0, +// trace_2_column_463_offset_0, trace_2_column_464_offset_0, +// ], +// ))) +// * (intermediate59) +// - (qm31(1, 0, 0, 0)); + +// let constraint_144 = (trace_1_column_191_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_98_offset_0) +// - (trace_1_column_155_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_70_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_100_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_99_offset_0))) +// + (m31(2).into()) +// * ((trace_1_column_76_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_105_offset_0)) +// + (m31(64).into()) +// * ((trace_1_column_77_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_106_offset_0)) +// + trace_1_column_190_offset_0); + +// let constraint_145 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_469_offset_0, trace_2_column_470_offset_0, trace_2_column_471_offset_0, +// trace_2_column_472_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_465_offset_0, trace_2_column_466_offset_0, +// trace_2_column_467_offset_0, trace_2_column_468_offset_0, +// ], +// ))) +// * (intermediate60) +// - (qm31(1, 0, 0, 0)); + +// let constraint_146 = (trace_1_column_192_offset_0) * (m31(512).into()) +// - ((m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_99_offset_0) +// - (trace_1_column_156_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_71_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_72_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_101_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_100_offset_0))) +// + (m31(2).into()) +// * ((trace_1_column_77_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_106_offset_0)) +// + (m31(64).into()) * ((trace_1_column_78_offset_0) * (trace_1_column_107_offset_0)) +// + trace_1_column_191_offset_0); + +// let constraint_147 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_473_offset_0, trace_2_column_474_offset_0, trace_2_column_475_offset_0, +// trace_2_column_476_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_469_offset_0, trace_2_column_470_offset_0, +// trace_2_column_471_offset_0, trace_2_column_472_offset_0, +// ], +// ))) +// * (intermediate61) +// - (qm31(1, 0, 0, 0)); + +// let constraint_148 = (m31(2).into()) +// * ((trace_1_column_51_offset_0) * (trace_1_column_100_offset_0) +// - (trace_1_column_157_offset_0) +// + (trace_1_column_52_offset_0) * (trace_1_column_99_offset_0) +// + (trace_1_column_53_offset_0) * (trace_1_column_98_offset_0) +// + (trace_1_column_54_offset_0) * (trace_1_column_97_offset_0) +// + (trace_1_column_55_offset_0) * (trace_1_column_96_offset_0) +// + (trace_1_column_56_offset_0) * (trace_1_column_95_offset_0) +// + (trace_1_column_57_offset_0) * (trace_1_column_94_offset_0) +// + (trace_1_column_58_offset_0) * (trace_1_column_93_offset_0) +// + (trace_1_column_59_offset_0) * (trace_1_column_92_offset_0) +// + (trace_1_column_60_offset_0) * (trace_1_column_91_offset_0) +// + (trace_1_column_61_offset_0) * (trace_1_column_90_offset_0) +// + (trace_1_column_62_offset_0) * (trace_1_column_89_offset_0) +// + (trace_1_column_63_offset_0) * (trace_1_column_88_offset_0) +// + (trace_1_column_64_offset_0) * (trace_1_column_87_offset_0) +// + (trace_1_column_65_offset_0) * (trace_1_column_86_offset_0) +// + (trace_1_column_66_offset_0) * (trace_1_column_85_offset_0) +// + (trace_1_column_67_offset_0) * (trace_1_column_84_offset_0) +// + (trace_1_column_68_offset_0) * (trace_1_column_83_offset_0) +// + (trace_1_column_69_offset_0) * (trace_1_column_82_offset_0) +// + (trace_1_column_70_offset_0) * (trace_1_column_81_offset_0) +// + (trace_1_column_71_offset_0) * (trace_1_column_80_offset_0)) +// - ((m31(4).into()) +// * ((trace_1_column_72_offset_0) * (trace_1_column_107_offset_0) +// + (trace_1_column_73_offset_0) * (trace_1_column_106_offset_0) +// + (trace_1_column_74_offset_0) * (trace_1_column_105_offset_0) +// + (trace_1_column_75_offset_0) * (trace_1_column_104_offset_0) +// + (trace_1_column_76_offset_0) * (trace_1_column_103_offset_0) +// + (trace_1_column_77_offset_0) * (trace_1_column_102_offset_0) +// + (trace_1_column_78_offset_0) * (trace_1_column_101_offset_0))) +// + (m31(2).into()) * ((trace_1_column_78_offset_0) * (trace_1_column_107_offset_0)) +// - ((m31(256).into()) * (trace_1_column_165_offset_0)) +// + trace_1_column_192_offset_0; + +// let constraint_149 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_193_offset_0 - (trace_1_column_80_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_193_offset_0 - (trace_1_column_108_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_193_offset_0 - (trace_1_column_137_offset_0))); + +// let constraint_150 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_194_offset_0 - (trace_1_column_81_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_194_offset_0 - (trace_1_column_109_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_194_offset_0 - (trace_1_column_138_offset_0))); + +// let constraint_151 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_195_offset_0 - (trace_1_column_82_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_195_offset_0 - (trace_1_column_110_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_195_offset_0 - (trace_1_column_139_offset_0))); + +// let constraint_152 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_196_offset_0 - (trace_1_column_83_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_196_offset_0 - (trace_1_column_111_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_196_offset_0 - (trace_1_column_140_offset_0))); + +// let constraint_153 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_197_offset_0 - (trace_1_column_84_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_197_offset_0 - (trace_1_column_112_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_197_offset_0 - (trace_1_column_141_offset_0))); + +// let constraint_154 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_198_offset_0 - (trace_1_column_85_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_198_offset_0 - (trace_1_column_113_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_198_offset_0 - (trace_1_column_142_offset_0))); + +// let constraint_155 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_199_offset_0 - (trace_1_column_86_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_199_offset_0 - (trace_1_column_114_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_199_offset_0 - (trace_1_column_143_offset_0))); + +// let constraint_156 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_200_offset_0 - (trace_1_column_87_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_200_offset_0 - (trace_1_column_115_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_200_offset_0 - (trace_1_column_144_offset_0))); + +// let constraint_157 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_201_offset_0 - (trace_1_column_88_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_201_offset_0 - (trace_1_column_116_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_201_offset_0 - (trace_1_column_145_offset_0))); + +// let constraint_158 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_202_offset_0 - (trace_1_column_89_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_202_offset_0 - (trace_1_column_117_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_202_offset_0 - (trace_1_column_146_offset_0))); + +// let constraint_159 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_203_offset_0 - (trace_1_column_90_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_203_offset_0 - (trace_1_column_118_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_203_offset_0 - (trace_1_column_147_offset_0))); + +// let constraint_160 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_204_offset_0 - (trace_1_column_91_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_204_offset_0 - (trace_1_column_119_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_204_offset_0 - (trace_1_column_148_offset_0))); + +// let constraint_161 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_205_offset_0 - (trace_1_column_92_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_205_offset_0 - (trace_1_column_120_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_205_offset_0 - (trace_1_column_149_offset_0))); + +// let constraint_162 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_206_offset_0 - (trace_1_column_93_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_206_offset_0 - (trace_1_column_121_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_206_offset_0 - (trace_1_column_150_offset_0))); + +// let constraint_163 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_207_offset_0 - (trace_1_column_94_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_207_offset_0 - (trace_1_column_122_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_207_offset_0 - (trace_1_column_151_offset_0))); + +// let constraint_164 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_208_offset_0 - (trace_1_column_95_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_208_offset_0 - (trace_1_column_123_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_208_offset_0 - (trace_1_column_152_offset_0))); + +// let constraint_165 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_209_offset_0 - (trace_1_column_96_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_209_offset_0 - (trace_1_column_124_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_209_offset_0 - (trace_1_column_153_offset_0))); + +// let constraint_166 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_210_offset_0 - (trace_1_column_97_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_210_offset_0 - (trace_1_column_125_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_210_offset_0 - (trace_1_column_154_offset_0))); + +// let constraint_167 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_211_offset_0 - (trace_1_column_98_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_211_offset_0 - (trace_1_column_126_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_211_offset_0 - (trace_1_column_155_offset_0))); + +// let constraint_168 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_212_offset_0 - (trace_1_column_99_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_212_offset_0 - (trace_1_column_127_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_212_offset_0 - (trace_1_column_156_offset_0))); + +// let constraint_169 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_213_offset_0 - (trace_1_column_100_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_213_offset_0 - (trace_1_column_128_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_213_offset_0 - (trace_1_column_157_offset_0))); + +// let constraint_170 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_214_offset_0 - (trace_1_column_101_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_214_offset_0 - (trace_1_column_129_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_214_offset_0 - (trace_1_column_158_offset_0))); + +// let constraint_171 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_215_offset_0 - (trace_1_column_102_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_215_offset_0 - (trace_1_column_130_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_215_offset_0 - (trace_1_column_159_offset_0))); + +// let constraint_172 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_216_offset_0 - (trace_1_column_103_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_216_offset_0 - (trace_1_column_131_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_216_offset_0 - (trace_1_column_160_offset_0))); + +// let constraint_173 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_217_offset_0 - (trace_1_column_104_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_217_offset_0 - (trace_1_column_132_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_217_offset_0 - (trace_1_column_161_offset_0))); + +// let constraint_174 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_218_offset_0 - (trace_1_column_105_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_218_offset_0 - (trace_1_column_133_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_218_offset_0 - (trace_1_column_162_offset_0))); + +// let constraint_175 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_219_offset_0 - (trace_1_column_106_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_219_offset_0 - (trace_1_column_134_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_219_offset_0 - (trace_1_column_163_offset_0))); + +// let constraint_176 = (m31(1).into() - (trace_1_column_15_offset_0)) +// * ((m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0)) +// * (trace_1_column_220_offset_0 - (trace_1_column_107_offset_0)) +// + (trace_1_column_11_offset_0) +// * (trace_1_column_220_offset_0 - (trace_1_column_135_offset_0)) +// + (trace_1_column_12_offset_0) +// * (trace_1_column_220_offset_0 - (trace_1_column_164_offset_0))); + +// let constraint_177 = (trace_1_column_20_offset_0) +// * (trace_1_column_193_offset_0 - (trace_1_column_22_offset_0)); + +// let constraint_178 = (trace_1_column_20_offset_0) +// * (trace_1_column_194_offset_0 - (trace_1_column_23_offset_0)); + +// let constraint_179 = (trace_1_column_20_offset_0) +// * (trace_1_column_195_offset_0 - (trace_1_column_24_offset_0)); + +// let constraint_180 = (trace_1_column_20_offset_0) +// * (trace_1_column_196_offset_0 - (trace_1_column_25_offset_0)); + +// let constraint_181 = (trace_1_column_20_offset_0) +// * (trace_1_column_197_offset_0 - (trace_1_column_26_offset_0)); + +// let constraint_182 = (trace_1_column_20_offset_0) +// * (trace_1_column_198_offset_0 - (trace_1_column_27_offset_0)); + +// let constraint_183 = (trace_1_column_20_offset_0) +// * (trace_1_column_199_offset_0 - (trace_1_column_28_offset_0)); + +// let constraint_184 = (trace_1_column_20_offset_0) +// * (trace_1_column_200_offset_0 - (trace_1_column_29_offset_0)); + +// let constraint_185 = (trace_1_column_20_offset_0) +// * (trace_1_column_201_offset_0 - (trace_1_column_30_offset_0)); + +// let constraint_186 = (trace_1_column_20_offset_0) +// * (trace_1_column_202_offset_0 - (trace_1_column_31_offset_0)); + +// let constraint_187 = (trace_1_column_20_offset_0) +// * (trace_1_column_203_offset_0 - (trace_1_column_32_offset_0)); + +// let constraint_188 = (trace_1_column_20_offset_0) +// * (trace_1_column_204_offset_0 - (trace_1_column_33_offset_0)); + +// let constraint_189 = (trace_1_column_20_offset_0) +// * (trace_1_column_205_offset_0 - (trace_1_column_34_offset_0)); + +// let constraint_190 = (trace_1_column_20_offset_0) +// * (trace_1_column_206_offset_0 - (trace_1_column_35_offset_0)); + +// let constraint_191 = (trace_1_column_20_offset_0) +// * (trace_1_column_207_offset_0 - (trace_1_column_36_offset_0)); + +// let constraint_192 = (trace_1_column_20_offset_0) +// * (trace_1_column_208_offset_0 - (trace_1_column_37_offset_0)); + +// let constraint_193 = (trace_1_column_20_offset_0) +// * (trace_1_column_209_offset_0 - (trace_1_column_38_offset_0)); + +// let constraint_194 = (trace_1_column_20_offset_0) +// * (trace_1_column_210_offset_0 - (trace_1_column_39_offset_0)); + +// let constraint_195 = (trace_1_column_20_offset_0) +// * (trace_1_column_211_offset_0 - (trace_1_column_40_offset_0)); + +// let constraint_196 = (trace_1_column_20_offset_0) +// * (trace_1_column_212_offset_0 - (trace_1_column_41_offset_0)); + +// let constraint_197 = (trace_1_column_20_offset_0) +// * (trace_1_column_213_offset_0 - (trace_1_column_42_offset_0)); + +// let constraint_198 = (trace_1_column_20_offset_0) +// * (trace_1_column_214_offset_0 - (trace_1_column_43_offset_0)); + +// let constraint_199 = (trace_1_column_20_offset_0) +// * (trace_1_column_215_offset_0 - (trace_1_column_44_offset_0)); + +// let constraint_200 = (trace_1_column_20_offset_0) +// * (trace_1_column_216_offset_0 - (trace_1_column_45_offset_0)); + +// let constraint_201 = (trace_1_column_20_offset_0) +// * (trace_1_column_217_offset_0 - (trace_1_column_46_offset_0)); + +// let constraint_202 = (trace_1_column_20_offset_0) +// * (trace_1_column_218_offset_0 - (trace_1_column_47_offset_0)); + +// let constraint_203 = (trace_1_column_20_offset_0) +// * (trace_1_column_219_offset_0 - (trace_1_column_48_offset_0)); + +// let constraint_204 = (trace_1_column_20_offset_0) +// * (trace_1_column_220_offset_0 - (trace_1_column_49_offset_0)); + +// let constraint_205 = (trace_1_column_19_offset_0) +// * (trace_1_column_3_offset_0 - (m31(32768).into()) + m31(2).into()); + +// let constraint_206 = (trace_1_column_19_offset_0) +// * (trace_1_column_5_offset_0 - (m31(32768).into()) + m31(1).into()); + +// let constraint_207 = (trace_1_column_19_offset_0) +// * (m31(4).into() +// - (trace_1_column_13_offset_0) +// - (trace_1_column_6_offset_0) +// - (trace_1_column_9_offset_0) +// - (m31(1).into() +// - (trace_1_column_11_offset_0) +// - (trace_1_column_12_offset_0) +// - (trace_1_column_15_offset_0))); + +// let constraint_208 = (trace_1_column_18_offset_0) +// * (trace_1_column_3_offset_0 - (m31(32768).into())); + +// let constraint_209 = (trace_1_column_18_offset_0) +// * (m31(1).into() - (trace_1_column_4_offset_0 - (m31(32768).into()))); + +// let constraint_210 = (trace_1_column_18_offset_0) +// * (trace_1_column_7_offset_0 + trace_1_column_6_offset_0); + +// let constraint_211 = (trace_1_column_18_offset_0) * (trace_1_column_25_offset_0); + +// let constraint_212 = (trace_1_column_18_offset_0) * (trace_1_column_26_offset_0); + +// let constraint_213 = (trace_1_column_18_offset_0) * (trace_1_column_27_offset_0); + +// let constraint_214 = (trace_1_column_18_offset_0) * (trace_1_column_28_offset_0); + +// let constraint_215 = (trace_1_column_18_offset_0) * (trace_1_column_29_offset_0); + +// let constraint_216 = (trace_1_column_18_offset_0) * (trace_1_column_30_offset_0); + +// let constraint_217 = (trace_1_column_18_offset_0) * (trace_1_column_31_offset_0); + +// let constraint_218 = (trace_1_column_18_offset_0) * (trace_1_column_32_offset_0); + +// let constraint_219 = (trace_1_column_18_offset_0) * (trace_1_column_33_offset_0); + +// let constraint_220 = (trace_1_column_18_offset_0) * (trace_1_column_34_offset_0); + +// let constraint_221 = (trace_1_column_18_offset_0) * (trace_1_column_35_offset_0); + +// let constraint_222 = (trace_1_column_18_offset_0) * (trace_1_column_36_offset_0); + +// let constraint_223 = (trace_1_column_18_offset_0) * (trace_1_column_37_offset_0); + +// let constraint_224 = (trace_1_column_18_offset_0) * (trace_1_column_38_offset_0); + +// let constraint_225 = (trace_1_column_18_offset_0) * (trace_1_column_39_offset_0); + +// let constraint_226 = (trace_1_column_18_offset_0) * (trace_1_column_40_offset_0); + +// let constraint_227 = (trace_1_column_18_offset_0) * (trace_1_column_41_offset_0); + +// let constraint_228 = (trace_1_column_18_offset_0) * (trace_1_column_42_offset_0); + +// let constraint_229 = (trace_1_column_18_offset_0) * (trace_1_column_43_offset_0); + +// let constraint_230 = (trace_1_column_18_offset_0) * (trace_1_column_44_offset_0); + +// let constraint_231 = (trace_1_column_18_offset_0) * (trace_1_column_45_offset_0); + +// let constraint_232 = (trace_1_column_18_offset_0) * (trace_1_column_46_offset_0); + +// let constraint_233 = (trace_1_column_18_offset_0) * (trace_1_column_47_offset_0); + +// let constraint_234 = (trace_1_column_18_offset_0) * (trace_1_column_48_offset_0); + +// let constraint_235 = (trace_1_column_18_offset_0) * (trace_1_column_49_offset_0); + +// let constraint_236 = (trace_1_column_18_offset_0) +// * (trace_1_column_22_offset_0 +// + (trace_1_column_23_offset_0) * (m31(512).into()) +// + (trace_1_column_24_offset_0) * (m31(262144).into()) +// - (trace_1_column_2_offset_0)); + +// let constraint_237 = (trace_1_column_18_offset_0) * (trace_1_column_54_offset_0); + +// let constraint_238 = (trace_1_column_18_offset_0) * (trace_1_column_55_offset_0); + +// let constraint_239 = (trace_1_column_18_offset_0) * (trace_1_column_56_offset_0); + +// let constraint_240 = (trace_1_column_18_offset_0) * (trace_1_column_57_offset_0); + +// let constraint_241 = (trace_1_column_18_offset_0) * (trace_1_column_58_offset_0); + +// let constraint_242 = (trace_1_column_18_offset_0) * (trace_1_column_59_offset_0); + +// let constraint_243 = (trace_1_column_18_offset_0) * (trace_1_column_60_offset_0); + +// let constraint_244 = (trace_1_column_18_offset_0) * (trace_1_column_61_offset_0); + +// let constraint_245 = (trace_1_column_18_offset_0) * (trace_1_column_62_offset_0); + +// let constraint_246 = (trace_1_column_18_offset_0) * (trace_1_column_63_offset_0); + +// let constraint_247 = (trace_1_column_18_offset_0) * (trace_1_column_64_offset_0); + +// let constraint_248 = (trace_1_column_18_offset_0) * (trace_1_column_65_offset_0); + +// let constraint_249 = (trace_1_column_18_offset_0) * (trace_1_column_66_offset_0); + +// let constraint_250 = (trace_1_column_18_offset_0) * (trace_1_column_67_offset_0); + +// let constraint_251 = (trace_1_column_18_offset_0) * (trace_1_column_68_offset_0); + +// let constraint_252 = (trace_1_column_18_offset_0) * (trace_1_column_69_offset_0); + +// let constraint_253 = (trace_1_column_18_offset_0) * (trace_1_column_70_offset_0); + +// let constraint_254 = (trace_1_column_18_offset_0) * (trace_1_column_71_offset_0); + +// let constraint_255 = (trace_1_column_18_offset_0) * (trace_1_column_72_offset_0); + +// let constraint_256 = (trace_1_column_18_offset_0) * (trace_1_column_73_offset_0); + +// let constraint_257 = (trace_1_column_18_offset_0) * (trace_1_column_74_offset_0); + +// let constraint_258 = (trace_1_column_18_offset_0) * (trace_1_column_75_offset_0); + +// let constraint_259 = (trace_1_column_18_offset_0) * (trace_1_column_76_offset_0); + +// let constraint_260 = (trace_1_column_18_offset_0) * (trace_1_column_77_offset_0); + +// let constraint_261 = (trace_1_column_18_offset_0) * (trace_1_column_78_offset_0); + +// let constraint_262 = (trace_1_column_18_offset_0) +// * (trace_1_column_51_offset_0 +// + (trace_1_column_52_offset_0) * (m31(512).into()) +// + (trace_1_column_53_offset_0) * (m31(262144).into()) +// - (trace_1_column_0_offset_0 + m31(1).into() + trace_1_column_8_offset_0)); + +// let constraint_263 = (trace_1_column_13_offset_0) * (trace_1_column_196_offset_0); + +// let constraint_264 = (trace_1_column_13_offset_0) * (trace_1_column_197_offset_0); + +// let constraint_265 = (trace_1_column_13_offset_0) * (trace_1_column_198_offset_0); + +// let constraint_266 = (trace_1_column_13_offset_0) * (trace_1_column_199_offset_0); + +// let constraint_267 = (trace_1_column_13_offset_0) * (trace_1_column_200_offset_0); + +// let constraint_268 = (trace_1_column_13_offset_0) * (trace_1_column_201_offset_0); + +// let constraint_269 = (trace_1_column_13_offset_0) * (trace_1_column_202_offset_0); + +// let constraint_270 = (trace_1_column_13_offset_0) * (trace_1_column_203_offset_0); + +// let constraint_271 = (trace_1_column_13_offset_0) * (trace_1_column_204_offset_0); + +// let constraint_272 = (trace_1_column_13_offset_0) * (trace_1_column_205_offset_0); + +// let constraint_273 = (trace_1_column_13_offset_0) * (trace_1_column_206_offset_0); + +// let constraint_274 = (trace_1_column_13_offset_0) * (trace_1_column_207_offset_0); + +// let constraint_275 = (trace_1_column_13_offset_0) * (trace_1_column_208_offset_0); + +// let constraint_276 = (trace_1_column_13_offset_0) * (trace_1_column_209_offset_0); + +// let constraint_277 = (trace_1_column_13_offset_0) * (trace_1_column_210_offset_0); + +// let constraint_278 = (trace_1_column_13_offset_0) * (trace_1_column_211_offset_0); + +// let constraint_279 = (trace_1_column_13_offset_0) * (trace_1_column_212_offset_0); + +// let constraint_280 = (trace_1_column_13_offset_0) * (trace_1_column_213_offset_0); + +// let constraint_281 = (trace_1_column_13_offset_0) * (trace_1_column_214_offset_0); + +// let constraint_282 = (trace_1_column_13_offset_0) * (trace_1_column_215_offset_0); + +// let constraint_283 = (trace_1_column_13_offset_0) * (trace_1_column_216_offset_0); + +// let constraint_284 = (trace_1_column_13_offset_0) * (trace_1_column_217_offset_0); + +// let constraint_285 = (trace_1_column_13_offset_0) * (trace_1_column_218_offset_0); + +// let constraint_286 = (trace_1_column_13_offset_0) * (trace_1_column_219_offset_0); + +// let constraint_287 = (trace_1_column_13_offset_0) * (trace_1_column_220_offset_0); + +// let constraint_288 = (trace_1_column_19_offset_0) * (trace_1_column_25_offset_0); + +// let constraint_289 = (trace_1_column_19_offset_0) * (trace_1_column_26_offset_0); + +// let constraint_290 = (trace_1_column_19_offset_0) * (trace_1_column_27_offset_0); + +// let constraint_291 = (trace_1_column_19_offset_0) * (trace_1_column_28_offset_0); + +// let constraint_292 = (trace_1_column_19_offset_0) * (trace_1_column_29_offset_0); + +// let constraint_293 = (trace_1_column_19_offset_0) * (trace_1_column_30_offset_0); + +// let constraint_294 = (trace_1_column_19_offset_0) * (trace_1_column_31_offset_0); + +// let constraint_295 = (trace_1_column_19_offset_0) * (trace_1_column_32_offset_0); + +// let constraint_296 = (trace_1_column_19_offset_0) * (trace_1_column_33_offset_0); + +// let constraint_297 = (trace_1_column_19_offset_0) * (trace_1_column_34_offset_0); + +// let constraint_298 = (trace_1_column_19_offset_0) * (trace_1_column_35_offset_0); + +// let constraint_299 = (trace_1_column_19_offset_0) * (trace_1_column_36_offset_0); + +// let constraint_300 = (trace_1_column_19_offset_0) * (trace_1_column_37_offset_0); + +// let constraint_301 = (trace_1_column_19_offset_0) * (trace_1_column_38_offset_0); + +// let constraint_302 = (trace_1_column_19_offset_0) * (trace_1_column_39_offset_0); + +// let constraint_303 = (trace_1_column_19_offset_0) * (trace_1_column_40_offset_0); + +// let constraint_304 = (trace_1_column_19_offset_0) * (trace_1_column_41_offset_0); + +// let constraint_305 = (trace_1_column_19_offset_0) * (trace_1_column_42_offset_0); + +// let constraint_306 = (trace_1_column_19_offset_0) * (trace_1_column_43_offset_0); + +// let constraint_307 = (trace_1_column_19_offset_0) * (trace_1_column_44_offset_0); + +// let constraint_308 = (trace_1_column_19_offset_0) * (trace_1_column_45_offset_0); + +// let constraint_309 = (trace_1_column_19_offset_0) * (trace_1_column_46_offset_0); + +// let constraint_310 = (trace_1_column_19_offset_0) * (trace_1_column_47_offset_0); + +// let constraint_311 = (trace_1_column_19_offset_0) * (trace_1_column_48_offset_0); + +// let constraint_312 = (trace_1_column_19_offset_0) * (trace_1_column_49_offset_0); + +// let constraint_313 = (trace_1_column_221_offset_0) +// * (trace_1_column_221_offset_0 - (m31(1).into())); + +// let constraint_314 = (trace_1_column_222_offset_0) +// * (trace_1_column_222_offset_0 - (m31(1).into())); + +// let constraint_315 = ((trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_222_offset_0)) +// * (trace_1_column_221_offset_0 - (m31(1).into())); + +// let constraint_316 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_196_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_317 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_197_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_318 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_198_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_319 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_199_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_320 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_200_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_321 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_201_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_322 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_202_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_323 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_203_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_324 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_204_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_325 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_205_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_326 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_206_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_327 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_207_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_328 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_208_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_329 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_209_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_330 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_210_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_331 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_211_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_332 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_212_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_333 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_213_offset_0 - ((trace_1_column_222_offset_0) * (m31(511).into()))); + +// let constraint_334 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_214_offset_0 +// - ((m31(136).into()) * (trace_1_column_221_offset_0) - (trace_1_column_222_offset_0))); + +// let constraint_335 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_215_offset_0); + +// let constraint_336 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_216_offset_0); + +// let constraint_337 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_217_offset_0); + +// let constraint_338 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_218_offset_0); + +// let constraint_339 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_219_offset_0); + +// let constraint_340 = (trace_1_column_14_offset_0 + trace_1_column_16_offset_0) +// * (trace_1_column_220_offset_0 - ((trace_1_column_221_offset_0) * (m31(256).into()))); + +// let constraint_341 = ((trace_1_column_22_offset_0 - (m31(1).into())) +// * (trace_1_column_22_offset_0 - (m31(1).into())) +// + trace_1_column_23_offset_0 +// + trace_1_column_24_offset_0 +// + trace_1_column_25_offset_0 +// + trace_1_column_26_offset_0 +// + trace_1_column_27_offset_0 +// + trace_1_column_28_offset_0 +// + trace_1_column_29_offset_0 +// + trace_1_column_30_offset_0 +// + trace_1_column_31_offset_0 +// + trace_1_column_32_offset_0 +// + trace_1_column_33_offset_0 +// + trace_1_column_34_offset_0 +// + trace_1_column_35_offset_0 +// + trace_1_column_36_offset_0 +// + trace_1_column_37_offset_0 +// + trace_1_column_38_offset_0 +// + trace_1_column_39_offset_0 +// + trace_1_column_40_offset_0 +// + trace_1_column_41_offset_0 +// + trace_1_column_42_offset_0 +// + (trace_1_column_43_offset_0 - (m31(136).into())) +// * (trace_1_column_43_offset_0 - (m31(136).into())) +// + trace_1_column_44_offset_0 +// + trace_1_column_45_offset_0 +// + trace_1_column_46_offset_0 +// + trace_1_column_47_offset_0 +// + trace_1_column_48_offset_0 +// + (trace_1_column_49_offset_0 - (m31(256).into())) +// * (trace_1_column_49_offset_0 - (m31(256).into()))) +// * (trace_1_column_223_offset_0) +// - (m31(1).into()); + +// let constraint_342 = trace_1_column_225_offset_0 +// - ((trace_1_column_15_offset_0) +// * (trace_1_column_22_offset_0 +// + trace_1_column_23_offset_0 +// + trace_1_column_24_offset_0 +// + trace_1_column_25_offset_0 +// + trace_1_column_26_offset_0 +// + trace_1_column_27_offset_0 +// + trace_1_column_28_offset_0 +// + trace_1_column_29_offset_0 +// + trace_1_column_30_offset_0 +// + trace_1_column_31_offset_0 +// + trace_1_column_32_offset_0 +// + trace_1_column_33_offset_0 +// + trace_1_column_34_offset_0 +// + trace_1_column_35_offset_0 +// + trace_1_column_36_offset_0 +// + trace_1_column_37_offset_0 +// + trace_1_column_38_offset_0 +// + trace_1_column_39_offset_0 +// + trace_1_column_40_offset_0 +// + trace_1_column_41_offset_0 +// + trace_1_column_42_offset_0 +// + trace_1_column_43_offset_0 +// + trace_1_column_44_offset_0 +// + trace_1_column_45_offset_0 +// + trace_1_column_46_offset_0 +// + trace_1_column_47_offset_0 +// + trace_1_column_48_offset_0 +// + trace_1_column_49_offset_0)); + +// let constraint_343 = (trace_1_column_226_offset_0) +// * (trace_1_column_226_offset_0 - (m31(1).into())); + +// let constraint_344 = (trace_1_column_227_offset_0) +// * (trace_1_column_227_offset_0 - (m31(1).into())); + +// let constraint_345 = ((trace_1_column_225_offset_0) * (trace_1_column_227_offset_0)) +// * (trace_1_column_226_offset_0 - (m31(1).into())); + +// let constraint_346 = (trace_1_column_225_offset_0) +// * (trace_1_column_83_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_347 = (trace_1_column_225_offset_0) +// * (trace_1_column_84_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_348 = (trace_1_column_225_offset_0) +// * (trace_1_column_85_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_349 = (trace_1_column_225_offset_0) +// * (trace_1_column_86_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_350 = (trace_1_column_225_offset_0) +// * (trace_1_column_87_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_351 = (trace_1_column_225_offset_0) +// * (trace_1_column_88_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_352 = (trace_1_column_225_offset_0) +// * (trace_1_column_89_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_353 = (trace_1_column_225_offset_0) +// * (trace_1_column_90_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_354 = (trace_1_column_225_offset_0) +// * (trace_1_column_91_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_355 = (trace_1_column_225_offset_0) +// * (trace_1_column_92_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_356 = (trace_1_column_225_offset_0) +// * (trace_1_column_93_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_357 = (trace_1_column_225_offset_0) +// * (trace_1_column_94_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_358 = (trace_1_column_225_offset_0) +// * (trace_1_column_95_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_359 = (trace_1_column_225_offset_0) +// * (trace_1_column_96_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_360 = (trace_1_column_225_offset_0) +// * (trace_1_column_97_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_361 = (trace_1_column_225_offset_0) +// * (trace_1_column_98_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_362 = (trace_1_column_225_offset_0) +// * (trace_1_column_99_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_363 = (trace_1_column_225_offset_0) +// * (trace_1_column_100_offset_0 - ((trace_1_column_227_offset_0) * (m31(511).into()))); + +// let constraint_364 = (trace_1_column_225_offset_0) +// * (trace_1_column_101_offset_0 +// - ((m31(136).into()) * (trace_1_column_226_offset_0) - (trace_1_column_227_offset_0))); + +// let constraint_365 = (trace_1_column_225_offset_0) * (trace_1_column_102_offset_0); + +// let constraint_366 = (trace_1_column_225_offset_0) * (trace_1_column_103_offset_0); + +// let constraint_367 = (trace_1_column_225_offset_0) * (trace_1_column_104_offset_0); + +// let constraint_368 = (trace_1_column_225_offset_0) * (trace_1_column_105_offset_0); + +// let constraint_369 = (trace_1_column_225_offset_0) * (trace_1_column_106_offset_0); + +// let constraint_370 = (trace_1_column_225_offset_0) +// * (trace_1_column_107_offset_0 - ((trace_1_column_226_offset_0) * (m31(256).into()))); + +// let constraint_371 = (trace_1_column_228_offset_0 +// - (trace_1_column_0_offset_0 +// + trace_1_column_80_offset_0 +// + (trace_1_column_81_offset_0) * (m31(512).into()) +// + (trace_1_column_82_offset_0) * (m31(262144).into()) +// - (trace_1_column_226_offset_0) +// - ((m31(134217728).into()) * (trace_1_column_227_offset_0)))) +// * (trace_1_column_22_offset_0 +// + trace_1_column_23_offset_0 +// + trace_1_column_24_offset_0 +// + trace_1_column_25_offset_0 +// + trace_1_column_26_offset_0 +// + trace_1_column_27_offset_0 +// + trace_1_column_28_offset_0 +// + trace_1_column_29_offset_0 +// + trace_1_column_30_offset_0 +// + trace_1_column_31_offset_0 +// + trace_1_column_32_offset_0 +// + trace_1_column_33_offset_0 +// + trace_1_column_34_offset_0 +// + trace_1_column_35_offset_0 +// + trace_1_column_36_offset_0 +// + trace_1_column_37_offset_0 +// + trace_1_column_38_offset_0 +// + trace_1_column_39_offset_0 +// + trace_1_column_40_offset_0 +// + trace_1_column_41_offset_0 +// + trace_1_column_42_offset_0 +// + trace_1_column_43_offset_0 +// + trace_1_column_44_offset_0 +// + trace_1_column_45_offset_0 +// + trace_1_column_46_offset_0 +// + trace_1_column_47_offset_0 +// + trace_1_column_48_offset_0 +// + trace_1_column_49_offset_0); + +// let constraint_372 = (trace_1_column_228_offset_0 +// - (trace_1_column_0_offset_0 + m31(1).into() + trace_1_column_8_offset_0)) +// * ((trace_1_column_22_offset_0 +// + trace_1_column_23_offset_0 +// + trace_1_column_24_offset_0 +// + trace_1_column_25_offset_0 +// + trace_1_column_26_offset_0 +// + trace_1_column_27_offset_0 +// + trace_1_column_28_offset_0 +// + trace_1_column_29_offset_0 +// + trace_1_column_30_offset_0 +// + trace_1_column_31_offset_0 +// + trace_1_column_32_offset_0 +// + trace_1_column_33_offset_0 +// + trace_1_column_34_offset_0 +// + trace_1_column_35_offset_0 +// + trace_1_column_36_offset_0 +// + trace_1_column_37_offset_0 +// + trace_1_column_38_offset_0 +// + trace_1_column_39_offset_0 +// + trace_1_column_40_offset_0 +// + trace_1_column_41_offset_0 +// + trace_1_column_42_offset_0 +// + trace_1_column_43_offset_0 +// + trace_1_column_44_offset_0 +// + trace_1_column_45_offset_0 +// + trace_1_column_46_offset_0 +// + trace_1_column_47_offset_0 +// + trace_1_column_48_offset_0 +// + trace_1_column_49_offset_0) +// * (trace_1_column_224_offset_0) +// - (m31(1).into())); + +// let constraint_373 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_477_offset_0, trace_2_column_478_offset_0, trace_2_column_479_offset_0, +// trace_2_column_480_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_473_offset_0, trace_2_column_474_offset_0, +// trace_2_column_475_offset_0, trace_2_column_476_offset_0, +// ], +// ))) +// * (intermediate62) +// - (qm31(1, 0, 0, 0)); + +// let constraint_374 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_481_offset_0, trace_2_column_482_offset_0, trace_2_column_483_offset_0, +// trace_2_column_484_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_477_offset_0, trace_2_column_478_offset_0, +// trace_2_column_479_offset_0, trace_2_column_480_offset_0, +// ], +// ))) +// * (intermediate63) +// - (qm31(1, 0, 0, 0)); + +// let constraint_375 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_485_offset_claimed_sum, trace_2_column_486_offset_claimed_sum, +// trace_2_column_487_offset_claimed_sum, trace_2_column_488_offset_claimed_sum, +// ], +// ) +// - (claimed_sum)) +// * (preprocessed_is_first); + +// let constraint_376 = (QM31Impl::from_partial_evals( +// [ +// trace_2_column_485_offset_0, trace_2_column_486_offset_0, trace_2_column_487_offset_0, +// trace_2_column_488_offset_0, +// ], +// ) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_485_offset_neg_1, trace_2_column_486_offset_neg_1, +// trace_2_column_487_offset_neg_1, trace_2_column_488_offset_neg_1, +// ], +// ) +// - ((total_sum) * (preprocessed_is_first))) +// - (QM31Impl::from_partial_evals( +// [ +// trace_2_column_481_offset_0, trace_2_column_482_offset_0, +// trace_2_column_483_offset_0, trace_2_column_484_offset_0, +// ], +// ))) +// * (intermediate64) +// - (qm31(2147483646, 0, 0, 0)); +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_0 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_1 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_2 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_3 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_4 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_5 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_6 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_7 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_8 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_9 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_10 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_11 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_12 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_13 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_14 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_15 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_16 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_17 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_18 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_19 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_20 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_21 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_22 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_23 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_24 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_25 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_26 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_27 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_28 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_29 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_30 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_31 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_32 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_33 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_34 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_35 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_36 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_37 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_38 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_39 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_40 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_41 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_42 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_43 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_44 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_45 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_46 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_47 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_48 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_49 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_50 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_51 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_52 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_53 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_54 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_55 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_56 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_57 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_58 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_59 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_60 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_61 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_62 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_63 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_64 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_65 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_66 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_67 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_68 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_69 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_70 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_71 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_72 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_73 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_74 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_75 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_76 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_77 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_78 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_79 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_80 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_81 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_82 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_83 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_84 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_85 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_86 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_87 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_88 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_89 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_90 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_91 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_92 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_93 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_94 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_95 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_96 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_97 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_98 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_99 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_100 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_101 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_102 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_103 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_104 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_105 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_106 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_107 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_108 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_109 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_110 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_111 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_112 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_113 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_114 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_115 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_116 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_117 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_118 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_119 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_120 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_121 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_122 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_123 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_124 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_125 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_126 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_127 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_128 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_129 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_130 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_131 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_132 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_133 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_134 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_135 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_136 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_137 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_138 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_139 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_140 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_141 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_142 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_143 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_144 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_145 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_146 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_147 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_148 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_149 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_150 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_151 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_152 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_153 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_154 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_155 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_156 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_157 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_158 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_159 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_160 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_161 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_162 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_163 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_164 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_165 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_166 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_167 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_168 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_169 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_170 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_171 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_172 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_173 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_174 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_175 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_176 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_177 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_178 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_179 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_180 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_181 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_182 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_183 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_184 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_185 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_186 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_187 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_188 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_189 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_190 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_191 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_192 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_193 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_194 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_195 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_196 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_197 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_198 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_199 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_200 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_201 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_202 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_203 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_204 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_205 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_206 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_207 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_208 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_209 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_210 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_211 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_212 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_213 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_214 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_215 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_216 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_217 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_218 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_219 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_220 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_221 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_222 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_223 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_224 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_225 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_226 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_227 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_228 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_229 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_230 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_231 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_232 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_233 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_234 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_235 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_236 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_237 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_238 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_239 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_240 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_241 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_242 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_243 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_244 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_245 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_246 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_247 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_248 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_249 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_250 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_251 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_252 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_253 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_254 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_255 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_256 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_257 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_258 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_259 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_260 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_261 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_262 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_263 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_264 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_265 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_266 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_267 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_268 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_269 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_270 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_271 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_272 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_273 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_274 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_275 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_276 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_277 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_278 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_279 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_280 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_281 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_282 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_283 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_284 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_285 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_286 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_287 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_288 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_289 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_290 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_291 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_292 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_293 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_294 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_295 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_296 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_297 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_298 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_299 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_300 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_301 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_302 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_303 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_304 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_305 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_306 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_307 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_308 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_309 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_310 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_311 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_312 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_313 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_314 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_315 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_316 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_317 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_318 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_319 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_320 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_321 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_322 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_323 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_324 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_325 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_326 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_327 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_328 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_329 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_330 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_331 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_332 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_333 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_334 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_335 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_336 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_337 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_338 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_339 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_340 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_341 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_342 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_343 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_344 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_345 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_346 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_347 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_348 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_349 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_350 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_351 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_352 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_353 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_354 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_355 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_356 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_357 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_358 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_359 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_360 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_361 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_362 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_363 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_364 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_365 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_366 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_367 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_368 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_369 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_370 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_371 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_372 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_373 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_374 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_375 * domain_vanish_at_point_inv; +// // TODO: Batch `domain_vanish_at_point_inv` multiplication. +// sum = sum * random_coeff + constraint_376 * domain_vanish_at_point_inv; +} diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/id_to_f252.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/id_to_f252.cairo new file mode 100644 index 00000000..0fab7b12 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/id_to_f252.cairo @@ -0,0 +1,299 @@ +use crate::components::CairoComponent; +use stwo_constraint_framework::{ + PreprocessedColumn, PreprocessedMaskValues, PreprocessedMaskValuesImpl, +}; +use stwo_verifier_core::channel::{Channel, ChannelImpl}; +use stwo_verifier_core::circle::CirclePoint; +use stwo_verifier_core::fields::qm31::{QM31, QM31Zero, QM31_EXTENSION_DEGREE}; +use stwo_verifier_core::poly::circle::CanonicCosetImpl; +use stwo_verifier_core::utils::ArrayImpl; +use stwo_verifier_core::{ColumnArray, ColumnSpan, TreeArray}; +use super::super::utils::UsizeImpl; + +mod constraints_big; +mod constraints_small; + +pub const N_BITS_PER_FELT: usize = 9; + +pub const MEMORY_ID_SIZE: usize = 1; + +pub const N_M31_IN_FELT252: usize = 28; + +pub const N_M31_IN_SMALL_FELT252: usize = 8; // 72 bits. + +pub const N_MULTIPLICITY_COLUMNS: usize = 1; + +pub const BIG_N_ID_AND_VALUE_COLUMNS: usize = MEMORY_ID_SIZE + N_M31_IN_FELT252; + +pub const BIG_MULTIPLICITY_COLUMN_OFFSET: usize = BIG_N_ID_AND_VALUE_COLUMNS; + +pub const BIG_N_COLUMNS: usize = BIG_N_ID_AND_VALUE_COLUMNS + N_MULTIPLICITY_COLUMNS; + +pub const SMALL_MULTIPLICITY_COLUMN_OFFSET: usize = SMALL_N_ID_AND_VALUE_COLUMNS; + +pub const SMALL_N_COLUMNS: usize = SMALL_N_ID_AND_VALUE_COLUMNS + N_MULTIPLICITY_COLUMNS; + +pub const SMALL_N_ID_AND_VALUE_COLUMNS: usize = MEMORY_ID_SIZE + N_M31_IN_SMALL_FELT252; + + +#[derive(Drop, Serde, Copy)] +pub struct Claim { + pub big_log_size: u32, + pub small_log_size: u32, +} + +#[generate_trait] +pub impl ClaimImpl of ClaimTrait { + fn log_sizes(self: @Claim) -> TreeArray> { + let Claim { big_log_size, small_log_size } = *self; + + let preprocessed_log_sizes = array![big_log_size, small_log_size].span(); + + let mut trace_log_sizes = array![]; + + for _ in 0..BIG_N_COLUMNS { + trace_log_sizes.append(big_log_size); + }; + + for _ in 0..SMALL_N_COLUMNS { + trace_log_sizes.append(small_log_size); + }; + + let mut interaction_log_sizes = array![]; + + // A lookup for every pair of limbs, and a yield of the value. + for _ in 0..(QM31_EXTENSION_DEGREE * (N_M31_IN_FELT252.div_ceil(2) + 1)) { + interaction_log_sizes.append(big_log_size); + }; + + for _ in 0..(QM31_EXTENSION_DEGREE * (N_M31_IN_SMALL_FELT252.div_ceil(2) + 1)) { + interaction_log_sizes.append(small_log_size); + }; + + array![preprocessed_log_sizes, trace_log_sizes.span(), interaction_log_sizes.span()] + } + + fn mix_into(self: @Claim, ref channel: Channel) { + channel.mix_nonce((*self.big_log_size).into()); + channel.mix_nonce((*self.small_log_size).into()); + } +} + +#[derive(Copy, Drop, Serde)] +pub struct InteractionClaim { + pub big_claimed_sum: QM31, + pub small_claimed_sum: QM31, +} + +#[generate_trait] +pub impl InteractionClaimImpl of InteractionClaimTrait { + fn mix_into(self: @InteractionClaim, ref channel: Channel) { + channel.mix_felts([*self.big_claimed_sum].span()); + channel.mix_felts([*self.small_claimed_sum].span()); + } +} + +#[derive(Drop)] +pub struct BigComponent { + pub log_n_rows: u32, + pub interaction_claim: InteractionClaim, + pub lookup_elements: super::super::IdToValueElements, + pub range_9_9_lookup_elements: super::super::RangeCheck9Bit9BitElements, +} + +pub impl BigComponentImpl of CairoComponent { + fn mask_points( + self: @BigComponent, + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + ) { + let trace_gen = CanonicCosetImpl::new(*self.log_n_rows).coset.step_size; + constraints_big::mask_points( + ref trace_mask_points, ref interaction_trace_mask_points, point, trace_gen, + ); + } + + fn max_constraint_log_degree_bound(self: @BigComponent) -> u32 { + *self.log_n_rows + 1 + } + + fn evaluate_constraints_at_point( + self: @BigComponent, + ref sum: QM31, + ref preprocessed_mask_values: PreprocessedMaskValues, + ref trace_mask_values: ColumnSpan>, + ref interaction_trace_mask_values: ColumnSpan>, + random_coeff: QM31, + point: CirclePoint, + ) { + let mut id_to_value_alpha_powers = self.lookup_elements.alpha_powers.span(); + let id_to_value_alpha_0 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_1 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_2 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_3 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_4 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_5 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_6 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_7 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_8 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_9 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_10 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_11 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_12 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_13 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_14 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_15 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_16 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_17 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_18 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_19 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_20 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_21 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_22 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_23 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_24 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_25 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_26 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_27 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_28 = *id_to_value_alpha_powers.pop_front().unwrap(); + + let mut range_check_9_9_alpha_powers = self.range_9_9_lookup_elements.alpha_powers.span(); + let range_check_9_9_alpha_0 = *range_check_9_9_alpha_powers.pop_front().unwrap(); + let range_check_9_9_alpha_1 = *range_check_9_9_alpha_powers.pop_front().unwrap(); + + let params = constraints_big::ConstraintParams { + IdToValue_alpha0: id_to_value_alpha_0, + IdToValue_alpha1: id_to_value_alpha_1, + IdToValue_alpha10: id_to_value_alpha_10, + IdToValue_alpha11: id_to_value_alpha_11, + IdToValue_alpha12: id_to_value_alpha_12, + IdToValue_alpha13: id_to_value_alpha_13, + IdToValue_alpha14: id_to_value_alpha_14, + IdToValue_alpha15: id_to_value_alpha_15, + IdToValue_alpha16: id_to_value_alpha_16, + IdToValue_alpha17: id_to_value_alpha_17, + IdToValue_alpha18: id_to_value_alpha_18, + IdToValue_alpha19: id_to_value_alpha_19, + IdToValue_alpha2: id_to_value_alpha_2, + IdToValue_alpha20: id_to_value_alpha_20, + IdToValue_alpha21: id_to_value_alpha_21, + IdToValue_alpha22: id_to_value_alpha_22, + IdToValue_alpha23: id_to_value_alpha_23, + IdToValue_alpha24: id_to_value_alpha_24, + IdToValue_alpha25: id_to_value_alpha_25, + IdToValue_alpha26: id_to_value_alpha_26, + IdToValue_alpha27: id_to_value_alpha_27, + IdToValue_alpha28: id_to_value_alpha_28, + IdToValue_alpha3: id_to_value_alpha_3, + IdToValue_alpha4: id_to_value_alpha_4, + IdToValue_alpha5: id_to_value_alpha_5, + IdToValue_alpha6: id_to_value_alpha_6, + IdToValue_alpha7: id_to_value_alpha_7, + IdToValue_alpha8: id_to_value_alpha_8, + IdToValue_alpha9: id_to_value_alpha_9, + IdToValue_z: *self.lookup_elements.z, + RangeCheck_9_9_alpha0: range_check_9_9_alpha_0, + RangeCheck_9_9_alpha1: range_check_9_9_alpha_1, + RangeCheck_9_9_z: *self.range_9_9_lookup_elements.z, + preprocessed_is_first: preprocessed_mask_values + .get(PreprocessedColumn::IsFirst(*self.log_n_rows)), + total_sum: *self.interaction_claim.big_claimed_sum, + }; + + let trace_domain = CanonicCosetImpl::new(*self.log_n_rows); + let vanish_eval = trace_domain.eval_vanishing(point); + + constraints_big::evaluate_constraints_at_point( + ref sum, + ref trace_mask_values, + ref interaction_trace_mask_values, + params, + random_coeff, + vanish_eval, + ); + } +} + + +#[derive(Drop)] +pub struct SmallComponent { + pub log_n_rows: u32, + pub interaction_claim: InteractionClaim, + pub lookup_elements: super::super::IdToValueElements, + pub range_9_9_lookup_elements: super::super::RangeCheck9Bit9BitElements, +} + +pub impl SmallComponentImpl of CairoComponent { + fn mask_points( + self: @SmallComponent, + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + ) { + let trace_gen = CanonicCosetImpl::new(*self.log_n_rows).coset.step_size; + constraints_small::mask_points( + ref trace_mask_points, ref interaction_trace_mask_points, point, trace_gen, + ); + } + + fn max_constraint_log_degree_bound(self: @SmallComponent) -> u32 { + *self.log_n_rows + 1 + } + + fn evaluate_constraints_at_point( + self: @SmallComponent, + ref sum: QM31, + ref preprocessed_mask_values: PreprocessedMaskValues, + ref trace_mask_values: ColumnSpan>, + ref interaction_trace_mask_values: ColumnSpan>, + random_coeff: QM31, + point: CirclePoint, + ) { + let mut id_to_value_alpha_powers = self.lookup_elements.alpha_powers.span(); + let id_to_value_alpha_0 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_1 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_2 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_3 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_4 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_5 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_6 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_7 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_8 = *id_to_value_alpha_powers.pop_front().unwrap(); + + let mut range_check_9_9_alpha_powers = self.range_9_9_lookup_elements.alpha_powers.span(); + let range_check_9_9_alpha_0 = *range_check_9_9_alpha_powers.pop_front().unwrap(); + let range_check_9_9_alpha_1 = *range_check_9_9_alpha_powers.pop_front().unwrap(); + + let params = constraints_small::ConstraintParams { + IdToValue_alpha0: id_to_value_alpha_0, + IdToValue_alpha1: id_to_value_alpha_1, + IdToValue_alpha2: id_to_value_alpha_2, + IdToValue_alpha3: id_to_value_alpha_3, + IdToValue_alpha4: id_to_value_alpha_4, + IdToValue_alpha5: id_to_value_alpha_5, + IdToValue_alpha6: id_to_value_alpha_6, + IdToValue_alpha7: id_to_value_alpha_7, + IdToValue_alpha8: id_to_value_alpha_8, + IdToValue_z: *self.lookup_elements.z, + RangeCheck_9_9_alpha0: range_check_9_9_alpha_0, + RangeCheck_9_9_alpha1: range_check_9_9_alpha_1, + RangeCheck_9_9_z: *self.range_9_9_lookup_elements.z, + preprocessed_is_first: preprocessed_mask_values + .get(PreprocessedColumn::IsFirst(*self.log_n_rows)), + total_sum: *self.interaction_claim.small_claimed_sum, + }; + + let trace_domain = CanonicCosetImpl::new(*self.log_n_rows); + let vanish_eval = trace_domain.eval_vanishing(point); + + constraints_small::evaluate_constraints_at_point( + ref sum, + ref trace_mask_values, + ref interaction_trace_mask_values, + params, + random_coeff, + vanish_eval, + ); + } +} diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/id_to_f252/constraints_big.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/id_to_f252/constraints_big.cairo new file mode 100644 index 00000000..0a301c83 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/id_to_f252/constraints_big.cairo @@ -0,0 +1,723 @@ +use stwo_verifier_core::circle::{ + CirclePoint, CirclePointIndex, CirclePointIndexImpl, CirclePointQM31AddCirclePointM31Impl, +}; +use stwo_verifier_core::fields::m31::{M31, m31}; +use stwo_verifier_core::fields::qm31::{QM31, QM31Impl, qm31}; + +use stwo_verifier_core::{ColumnArray, ColumnSpan}; + + +pub fn mask_points( + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + trace_gen: CirclePointIndex, +) { + let point_offset_neg_1 = point.add_circle_point_m31(-trace_gen.mul(1).to_point()); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); +} + +#[derive(Drop)] +pub struct ConstraintParams { + pub IdToValue_alpha0: QM31, + pub IdToValue_alpha1: QM31, + pub IdToValue_alpha10: QM31, + pub IdToValue_alpha11: QM31, + pub IdToValue_alpha12: QM31, + pub IdToValue_alpha13: QM31, + pub IdToValue_alpha14: QM31, + pub IdToValue_alpha15: QM31, + pub IdToValue_alpha16: QM31, + pub IdToValue_alpha17: QM31, + pub IdToValue_alpha18: QM31, + pub IdToValue_alpha19: QM31, + pub IdToValue_alpha2: QM31, + pub IdToValue_alpha20: QM31, + pub IdToValue_alpha21: QM31, + pub IdToValue_alpha22: QM31, + pub IdToValue_alpha23: QM31, + pub IdToValue_alpha24: QM31, + pub IdToValue_alpha25: QM31, + pub IdToValue_alpha26: QM31, + pub IdToValue_alpha27: QM31, + pub IdToValue_alpha28: QM31, + pub IdToValue_alpha3: QM31, + pub IdToValue_alpha4: QM31, + pub IdToValue_alpha5: QM31, + pub IdToValue_alpha6: QM31, + pub IdToValue_alpha7: QM31, + pub IdToValue_alpha8: QM31, + pub IdToValue_alpha9: QM31, + pub IdToValue_z: QM31, + pub RangeCheck_9_9_alpha0: QM31, + pub RangeCheck_9_9_alpha1: QM31, + pub RangeCheck_9_9_z: QM31, + pub preprocessed_is_first: QM31, + pub total_sum: QM31, +} + +pub fn evaluate_constraints_at_point( + ref sum: QM31, + ref trace_mask_values: ColumnSpan>, + ref interaction_mask_values: ColumnSpan>, + params: ConstraintParams, + random_coeff: QM31, + domain_vanish_at_point_inv: QM31, +) { + core::internal::revoke_ap_tracking(); + let ConstraintParams { + IdToValue_alpha0, + IdToValue_alpha1, + IdToValue_alpha10, + IdToValue_alpha11, + IdToValue_alpha12, + IdToValue_alpha13, + IdToValue_alpha14, + IdToValue_alpha15, + IdToValue_alpha16, + IdToValue_alpha17, + IdToValue_alpha18, + IdToValue_alpha19, + IdToValue_alpha2, + IdToValue_alpha20, + IdToValue_alpha21, + IdToValue_alpha22, + IdToValue_alpha23, + IdToValue_alpha24, + IdToValue_alpha25, + IdToValue_alpha26, + IdToValue_alpha27, + IdToValue_alpha28, + IdToValue_alpha3, + IdToValue_alpha4, + IdToValue_alpha5, + IdToValue_alpha6, + IdToValue_alpha7, + IdToValue_alpha8, + IdToValue_alpha9, + IdToValue_z, + RangeCheck_9_9_alpha0, + RangeCheck_9_9_alpha1, + RangeCheck_9_9_z, + preprocessed_is_first, + total_sum, + } = params; + + let mut trace_1_column_0 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_0_offset_0 = *trace_1_column_0.pop_front().unwrap(); + let mut trace_1_column_1 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_1_offset_0 = *trace_1_column_1.pop_front().unwrap(); + let mut trace_1_column_2 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_2_offset_0 = *trace_1_column_2.pop_front().unwrap(); + let mut trace_1_column_3 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_3_offset_0 = *trace_1_column_3.pop_front().unwrap(); + let mut trace_1_column_4 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_4_offset_0 = *trace_1_column_4.pop_front().unwrap(); + let mut trace_1_column_5 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_5_offset_0 = *trace_1_column_5.pop_front().unwrap(); + let mut trace_1_column_6 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_6_offset_0 = *trace_1_column_6.pop_front().unwrap(); + let mut trace_1_column_7 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_7_offset_0 = *trace_1_column_7.pop_front().unwrap(); + let mut trace_1_column_8 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_8_offset_0 = *trace_1_column_8.pop_front().unwrap(); + let mut trace_1_column_9 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_9_offset_0 = *trace_1_column_9.pop_front().unwrap(); + let mut trace_1_column_10 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_10_offset_0 = *trace_1_column_10.pop_front().unwrap(); + let mut trace_1_column_11 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_11_offset_0 = *trace_1_column_11.pop_front().unwrap(); + let mut trace_1_column_12 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_12_offset_0 = *trace_1_column_12.pop_front().unwrap(); + let mut trace_1_column_13 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_13_offset_0 = *trace_1_column_13.pop_front().unwrap(); + let mut trace_1_column_14 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_14_offset_0 = *trace_1_column_14.pop_front().unwrap(); + let mut trace_1_column_15 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_15_offset_0 = *trace_1_column_15.pop_front().unwrap(); + let mut trace_1_column_16 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_16_offset_0 = *trace_1_column_16.pop_front().unwrap(); + let mut trace_1_column_17 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_17_offset_0 = *trace_1_column_17.pop_front().unwrap(); + let mut trace_1_column_18 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_18_offset_0 = *trace_1_column_18.pop_front().unwrap(); + let mut trace_1_column_19 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_19_offset_0 = *trace_1_column_19.pop_front().unwrap(); + let mut trace_1_column_20 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_20_offset_0 = *trace_1_column_20.pop_front().unwrap(); + let mut trace_1_column_21 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_21_offset_0 = *trace_1_column_21.pop_front().unwrap(); + let mut trace_1_column_22 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_22_offset_0 = *trace_1_column_22.pop_front().unwrap(); + let mut trace_1_column_23 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_23_offset_0 = *trace_1_column_23.pop_front().unwrap(); + let mut trace_1_column_24 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_24_offset_0 = *trace_1_column_24.pop_front().unwrap(); + let mut trace_1_column_25 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_25_offset_0 = *trace_1_column_25.pop_front().unwrap(); + let mut trace_1_column_26 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_26_offset_0 = *trace_1_column_26.pop_front().unwrap(); + let mut trace_1_column_27 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_27_offset_0 = *trace_1_column_27.pop_front().unwrap(); + let mut trace_1_column_28 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_28_offset_0 = *trace_1_column_28.pop_front().unwrap(); + let mut trace_1_column_29 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_29_offset_0 = *trace_1_column_29.pop_front().unwrap(); + let mut trace_2_column_30 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_30_offset_0 = *trace_2_column_30.pop_front().unwrap(); + let mut trace_2_column_31 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_31_offset_0 = *trace_2_column_31.pop_front().unwrap(); + let mut trace_2_column_32 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_32_offset_0 = *trace_2_column_32.pop_front().unwrap(); + let mut trace_2_column_33 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_33_offset_0 = *trace_2_column_33.pop_front().unwrap(); + let mut trace_2_column_34 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_34_offset_0 = *trace_2_column_34.pop_front().unwrap(); + let mut trace_2_column_35 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_35_offset_0 = *trace_2_column_35.pop_front().unwrap(); + let mut trace_2_column_36 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_36_offset_0 = *trace_2_column_36.pop_front().unwrap(); + let mut trace_2_column_37 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_37_offset_0 = *trace_2_column_37.pop_front().unwrap(); + let mut trace_2_column_38 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_38_offset_0 = *trace_2_column_38.pop_front().unwrap(); + let mut trace_2_column_39 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_39_offset_0 = *trace_2_column_39.pop_front().unwrap(); + let mut trace_2_column_40 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_40_offset_0 = *trace_2_column_40.pop_front().unwrap(); + let mut trace_2_column_41 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_41_offset_0 = *trace_2_column_41.pop_front().unwrap(); + let mut trace_2_column_42 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_42_offset_0 = *trace_2_column_42.pop_front().unwrap(); + let mut trace_2_column_43 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_43_offset_0 = *trace_2_column_43.pop_front().unwrap(); + let mut trace_2_column_44 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_44_offset_0 = *trace_2_column_44.pop_front().unwrap(); + let mut trace_2_column_45 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_45_offset_0 = *trace_2_column_45.pop_front().unwrap(); + let mut trace_2_column_46 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_46_offset_0 = *trace_2_column_46.pop_front().unwrap(); + let mut trace_2_column_47 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_47_offset_0 = *trace_2_column_47.pop_front().unwrap(); + let mut trace_2_column_48 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_48_offset_0 = *trace_2_column_48.pop_front().unwrap(); + let mut trace_2_column_49 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_49_offset_0 = *trace_2_column_49.pop_front().unwrap(); + let mut trace_2_column_50 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_50_offset_0 = *trace_2_column_50.pop_front().unwrap(); + let mut trace_2_column_51 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_51_offset_0 = *trace_2_column_51.pop_front().unwrap(); + let mut trace_2_column_52 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_52_offset_0 = *trace_2_column_52.pop_front().unwrap(); + let mut trace_2_column_53 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_53_offset_0 = *trace_2_column_53.pop_front().unwrap(); + let mut trace_2_column_54 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_54_offset_0 = *trace_2_column_54.pop_front().unwrap(); + let mut trace_2_column_55 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_55_offset_0 = *trace_2_column_55.pop_front().unwrap(); + let mut trace_2_column_56 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_56_offset_0 = *trace_2_column_56.pop_front().unwrap(); + let mut trace_2_column_57 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_57_offset_0 = *trace_2_column_57.pop_front().unwrap(); + let mut trace_2_column_58 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_58_offset_0 = *trace_2_column_58.pop_front().unwrap(); + let mut trace_2_column_59 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_59_offset_0 = *trace_2_column_59.pop_front().unwrap(); + let mut trace_2_column_60 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_60_offset_0 = *trace_2_column_60.pop_front().unwrap(); + let mut trace_2_column_61 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_61_offset_0 = *trace_2_column_61.pop_front().unwrap(); + let mut trace_2_column_62 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_62_offset_0 = *trace_2_column_62.pop_front().unwrap(); + let mut trace_2_column_63 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_63_offset_0 = *trace_2_column_63.pop_front().unwrap(); + let mut trace_2_column_64 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_64_offset_0 = *trace_2_column_64.pop_front().unwrap(); + let mut trace_2_column_65 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_65_offset_0 = *trace_2_column_65.pop_front().unwrap(); + let mut trace_2_column_66 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_66_offset_0 = *trace_2_column_66.pop_front().unwrap(); + let mut trace_2_column_67 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_67_offset_0 = *trace_2_column_67.pop_front().unwrap(); + let mut trace_2_column_68 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_68_offset_0 = *trace_2_column_68.pop_front().unwrap(); + let mut trace_2_column_69 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_69_offset_0 = *trace_2_column_69.pop_front().unwrap(); + let mut trace_2_column_70 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_70_offset_0 = *trace_2_column_70.pop_front().unwrap(); + let mut trace_2_column_71 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_71_offset_0 = *trace_2_column_71.pop_front().unwrap(); + let mut trace_2_column_72 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_72_offset_0 = *trace_2_column_72.pop_front().unwrap(); + let mut trace_2_column_73 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_73_offset_0 = *trace_2_column_73.pop_front().unwrap(); + let mut trace_2_column_74 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_74_offset_0 = *trace_2_column_74.pop_front().unwrap(); + let mut trace_2_column_75 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_75_offset_0 = *trace_2_column_75.pop_front().unwrap(); + let mut trace_2_column_76 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_76_offset_0 = *trace_2_column_76.pop_front().unwrap(); + let mut trace_2_column_77 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_77_offset_0 = *trace_2_column_77.pop_front().unwrap(); + let mut trace_2_column_78 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_78_offset_0 = *trace_2_column_78.pop_front().unwrap(); + let mut trace_2_column_79 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_79_offset_0 = *trace_2_column_79.pop_front().unwrap(); + let mut trace_2_column_80 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_80_offset_0 = *trace_2_column_80.pop_front().unwrap(); + let mut trace_2_column_81 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_81_offset_0 = *trace_2_column_81.pop_front().unwrap(); + let mut trace_2_column_82 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_82_offset_0 = *trace_2_column_82.pop_front().unwrap(); + let mut trace_2_column_83 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_83_offset_0 = *trace_2_column_83.pop_front().unwrap(); + let mut trace_2_column_84 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_84_offset_0 = *trace_2_column_84.pop_front().unwrap(); + let mut trace_2_column_85 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_85_offset_0 = *trace_2_column_85.pop_front().unwrap(); + let mut trace_2_column_86 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_86_offset_neg_1 = *trace_2_column_86.pop_front().unwrap(); + let trace_2_column_86_offset_0 = *trace_2_column_86.pop_front().unwrap(); + let mut trace_2_column_87 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_87_offset_neg_1 = *trace_2_column_87.pop_front().unwrap(); + let trace_2_column_87_offset_0 = *trace_2_column_87.pop_front().unwrap(); + let mut trace_2_column_88 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_88_offset_neg_1 = *trace_2_column_88.pop_front().unwrap(); + let trace_2_column_88_offset_0 = *trace_2_column_88.pop_front().unwrap(); + let mut trace_2_column_89 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_89_offset_neg_1 = *trace_2_column_89.pop_front().unwrap(); + let trace_2_column_89_offset_0 = *trace_2_column_89.pop_front().unwrap(); + core::internal::revoke_ap_tracking(); + let intermediate0 = (IdToValue_alpha0) * (trace_1_column_0_offset_0) + + (IdToValue_alpha1) * (trace_1_column_1_offset_0) + + (IdToValue_alpha2) * (trace_1_column_2_offset_0) + + (IdToValue_alpha3) * (trace_1_column_3_offset_0) + + (IdToValue_alpha4) * (trace_1_column_4_offset_0) + + (IdToValue_alpha5) * (trace_1_column_5_offset_0) + + (IdToValue_alpha6) * (trace_1_column_6_offset_0) + + (IdToValue_alpha7) * (trace_1_column_7_offset_0) + + (IdToValue_alpha8) * (trace_1_column_8_offset_0) + + (IdToValue_alpha9) * (trace_1_column_9_offset_0) + + (IdToValue_alpha10) * (trace_1_column_10_offset_0) + + (IdToValue_alpha11) * (trace_1_column_11_offset_0) + + (IdToValue_alpha12) * (trace_1_column_12_offset_0) + + (IdToValue_alpha13) * (trace_1_column_13_offset_0) + + (IdToValue_alpha14) * (trace_1_column_14_offset_0) + + (IdToValue_alpha15) * (trace_1_column_15_offset_0) + + (IdToValue_alpha16) * (trace_1_column_16_offset_0) + + (IdToValue_alpha17) * (trace_1_column_17_offset_0) + + (IdToValue_alpha18) * (trace_1_column_18_offset_0) + + (IdToValue_alpha19) * (trace_1_column_19_offset_0) + + (IdToValue_alpha20) * (trace_1_column_20_offset_0) + + (IdToValue_alpha21) * (trace_1_column_21_offset_0) + + (IdToValue_alpha22) * (trace_1_column_22_offset_0) + + (IdToValue_alpha23) * (trace_1_column_23_offset_0) + + (IdToValue_alpha24) * (trace_1_column_24_offset_0) + + (IdToValue_alpha25) * (trace_1_column_25_offset_0) + + (IdToValue_alpha26) * (trace_1_column_26_offset_0) + + (IdToValue_alpha27) * (trace_1_column_27_offset_0) + + (IdToValue_alpha28) * (trace_1_column_28_offset_0) + - (IdToValue_z); + + let intermediate1 = (RangeCheck_9_9_alpha0) * (trace_1_column_1_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_2_offset_0) + - (RangeCheck_9_9_z); + + let intermediate2 = (RangeCheck_9_9_alpha0) * (trace_1_column_3_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_4_offset_0) + - (RangeCheck_9_9_z); + + let intermediate3 = (RangeCheck_9_9_alpha0) * (trace_1_column_5_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_6_offset_0) + - (RangeCheck_9_9_z); + + let intermediate4 = (RangeCheck_9_9_alpha0) * (trace_1_column_7_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_8_offset_0) + - (RangeCheck_9_9_z); + + let intermediate5 = (RangeCheck_9_9_alpha0) * (trace_1_column_9_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_10_offset_0) + - (RangeCheck_9_9_z); + + let intermediate6 = (RangeCheck_9_9_alpha0) * (trace_1_column_11_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_12_offset_0) + - (RangeCheck_9_9_z); + + let intermediate7 = (RangeCheck_9_9_alpha0) * (trace_1_column_13_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_14_offset_0) + - (RangeCheck_9_9_z); + + let intermediate8 = (RangeCheck_9_9_alpha0) * (trace_1_column_15_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_16_offset_0) + - (RangeCheck_9_9_z); + + let intermediate9 = (RangeCheck_9_9_alpha0) * (trace_1_column_17_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_18_offset_0) + - (RangeCheck_9_9_z); + + let intermediate10 = (RangeCheck_9_9_alpha0) * (trace_1_column_19_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_20_offset_0) + - (RangeCheck_9_9_z); + + let intermediate11 = (RangeCheck_9_9_alpha0) * (trace_1_column_21_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_22_offset_0) + - (RangeCheck_9_9_z); + + let intermediate12 = (RangeCheck_9_9_alpha0) * (trace_1_column_23_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_24_offset_0) + - (RangeCheck_9_9_z); + + let intermediate13 = (RangeCheck_9_9_alpha0) * (trace_1_column_25_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_26_offset_0) + - (RangeCheck_9_9_z); + + let intermediate14 = (RangeCheck_9_9_alpha0) * (trace_1_column_27_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_28_offset_0) + - (RangeCheck_9_9_z); + + let constraint_0 = (QM31Impl::from_partial_evals( + [ + trace_2_column_30_offset_0, trace_2_column_31_offset_0, trace_2_column_32_offset_0, + trace_2_column_33_offset_0, + ], + )) + * (intermediate0) + - (-(trace_1_column_29_offset_0)); + + let constraint_1 = (QM31Impl::from_partial_evals( + [ + trace_2_column_34_offset_0, trace_2_column_35_offset_0, trace_2_column_36_offset_0, + trace_2_column_37_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_30_offset_0, trace_2_column_31_offset_0, trace_2_column_32_offset_0, + trace_2_column_33_offset_0, + ], + ))) + * (intermediate1) + - (qm31(1, 0, 0, 0)); + + let constraint_2 = (QM31Impl::from_partial_evals( + [ + trace_2_column_38_offset_0, trace_2_column_39_offset_0, trace_2_column_40_offset_0, + trace_2_column_41_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_34_offset_0, trace_2_column_35_offset_0, trace_2_column_36_offset_0, + trace_2_column_37_offset_0, + ], + ))) + * (intermediate2) + - (qm31(1, 0, 0, 0)); + + let constraint_3 = (QM31Impl::from_partial_evals( + [ + trace_2_column_42_offset_0, trace_2_column_43_offset_0, trace_2_column_44_offset_0, + trace_2_column_45_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_38_offset_0, trace_2_column_39_offset_0, trace_2_column_40_offset_0, + trace_2_column_41_offset_0, + ], + ))) + * (intermediate3) + - (qm31(1, 0, 0, 0)); + + let constraint_4 = (QM31Impl::from_partial_evals( + [ + trace_2_column_46_offset_0, trace_2_column_47_offset_0, trace_2_column_48_offset_0, + trace_2_column_49_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_42_offset_0, trace_2_column_43_offset_0, trace_2_column_44_offset_0, + trace_2_column_45_offset_0, + ], + ))) + * (intermediate4) + - (qm31(1, 0, 0, 0)); + + let constraint_5 = (QM31Impl::from_partial_evals( + [ + trace_2_column_50_offset_0, trace_2_column_51_offset_0, trace_2_column_52_offset_0, + trace_2_column_53_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_46_offset_0, trace_2_column_47_offset_0, trace_2_column_48_offset_0, + trace_2_column_49_offset_0, + ], + ))) + * (intermediate5) + - (qm31(1, 0, 0, 0)); + + let constraint_6 = (QM31Impl::from_partial_evals( + [ + trace_2_column_54_offset_0, trace_2_column_55_offset_0, trace_2_column_56_offset_0, + trace_2_column_57_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_50_offset_0, trace_2_column_51_offset_0, trace_2_column_52_offset_0, + trace_2_column_53_offset_0, + ], + ))) + * (intermediate6) + - (qm31(1, 0, 0, 0)); + + let constraint_7 = (QM31Impl::from_partial_evals( + [ + trace_2_column_58_offset_0, trace_2_column_59_offset_0, trace_2_column_60_offset_0, + trace_2_column_61_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_54_offset_0, trace_2_column_55_offset_0, trace_2_column_56_offset_0, + trace_2_column_57_offset_0, + ], + ))) + * (intermediate7) + - (qm31(1, 0, 0, 0)); + + let constraint_8 = (QM31Impl::from_partial_evals( + [ + trace_2_column_62_offset_0, trace_2_column_63_offset_0, trace_2_column_64_offset_0, + trace_2_column_65_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_58_offset_0, trace_2_column_59_offset_0, trace_2_column_60_offset_0, + trace_2_column_61_offset_0, + ], + ))) + * (intermediate8) + - (qm31(1, 0, 0, 0)); + + let constraint_9 = (QM31Impl::from_partial_evals( + [ + trace_2_column_66_offset_0, trace_2_column_67_offset_0, trace_2_column_68_offset_0, + trace_2_column_69_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_62_offset_0, trace_2_column_63_offset_0, trace_2_column_64_offset_0, + trace_2_column_65_offset_0, + ], + ))) + * (intermediate9) + - (qm31(1, 0, 0, 0)); + + let constraint_10 = (QM31Impl::from_partial_evals( + [ + trace_2_column_70_offset_0, trace_2_column_71_offset_0, trace_2_column_72_offset_0, + trace_2_column_73_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_66_offset_0, trace_2_column_67_offset_0, trace_2_column_68_offset_0, + trace_2_column_69_offset_0, + ], + ))) + * (intermediate10) + - (qm31(1, 0, 0, 0)); + + let constraint_11 = (QM31Impl::from_partial_evals( + [ + trace_2_column_74_offset_0, trace_2_column_75_offset_0, trace_2_column_76_offset_0, + trace_2_column_77_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_70_offset_0, trace_2_column_71_offset_0, trace_2_column_72_offset_0, + trace_2_column_73_offset_0, + ], + ))) + * (intermediate11) + - (qm31(1, 0, 0, 0)); + + let constraint_12 = (QM31Impl::from_partial_evals( + [ + trace_2_column_78_offset_0, trace_2_column_79_offset_0, trace_2_column_80_offset_0, + trace_2_column_81_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_74_offset_0, trace_2_column_75_offset_0, trace_2_column_76_offset_0, + trace_2_column_77_offset_0, + ], + ))) + * (intermediate12) + - (qm31(1, 0, 0, 0)); + + let constraint_13 = (QM31Impl::from_partial_evals( + [ + trace_2_column_82_offset_0, trace_2_column_83_offset_0, trace_2_column_84_offset_0, + trace_2_column_85_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_78_offset_0, trace_2_column_79_offset_0, trace_2_column_80_offset_0, + trace_2_column_81_offset_0, + ], + ))) + * (intermediate13) + - (qm31(1, 0, 0, 0)); + + let constraint_14 = (QM31Impl::from_partial_evals( + [ + trace_2_column_86_offset_0, trace_2_column_87_offset_0, trace_2_column_88_offset_0, + trace_2_column_89_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_86_offset_neg_1, trace_2_column_87_offset_neg_1, + trace_2_column_88_offset_neg_1, trace_2_column_89_offset_neg_1, + ], + ) + - ((total_sum) * (preprocessed_is_first))) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_82_offset_0, trace_2_column_83_offset_0, trace_2_column_84_offset_0, + trace_2_column_85_offset_0, + ], + ))) + * (intermediate14) + - (qm31(1, 0, 0, 0)); + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_0 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_1 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_2 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_3 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_4 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_5 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_6 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_7 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_8 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_9 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_10 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_11 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_12 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_13 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_14 * domain_vanish_at_point_inv; +} + diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/id_to_f252/constraints_small.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/id_to_f252/constraints_small.cairo new file mode 100644 index 00000000..1ff8f87d --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/id_to_f252/constraints_small.cairo @@ -0,0 +1,271 @@ +use stwo_verifier_core::circle::{ + CirclePoint, CirclePointIndex, CirclePointIndexImpl, CirclePointQM31AddCirclePointM31Impl, +}; +use stwo_verifier_core::fields::m31::{M31, m31}; +use stwo_verifier_core::fields::qm31::{QM31, QM31Impl, qm31}; + +use stwo_verifier_core::{ColumnArray, ColumnSpan}; + + +pub fn mask_points( + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + trace_gen: CirclePointIndex, +) { + let point_offset_neg_1 = point.add_circle_point_m31(-trace_gen.mul(1).to_point()); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); +} + +#[derive(Drop)] +pub struct ConstraintParams { + pub IdToValue_alpha0: QM31, + pub IdToValue_alpha1: QM31, + pub IdToValue_alpha2: QM31, + pub IdToValue_alpha3: QM31, + pub IdToValue_alpha4: QM31, + pub IdToValue_alpha5: QM31, + pub IdToValue_alpha6: QM31, + pub IdToValue_alpha7: QM31, + pub IdToValue_alpha8: QM31, + pub IdToValue_z: QM31, + pub RangeCheck_9_9_alpha0: QM31, + pub RangeCheck_9_9_alpha1: QM31, + pub RangeCheck_9_9_z: QM31, + pub preprocessed_is_first: QM31, + pub total_sum: QM31, +} + +pub fn evaluate_constraints_at_point( + ref sum: QM31, + ref trace_mask_values: ColumnSpan>, + ref interaction_mask_values: ColumnSpan>, + params: ConstraintParams, + random_coeff: QM31, + domain_vanish_at_point_inv: QM31, +) { + let ConstraintParams { + IdToValue_alpha0, + IdToValue_alpha1, + IdToValue_alpha2, + IdToValue_alpha3, + IdToValue_alpha4, + IdToValue_alpha5, + IdToValue_alpha6, + IdToValue_alpha7, + IdToValue_alpha8, + IdToValue_z, + RangeCheck_9_9_alpha0, + RangeCheck_9_9_alpha1, + RangeCheck_9_9_z, + preprocessed_is_first, + total_sum, + } = params; + + let mut trace_1_column_0 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_0_offset_0 = *trace_1_column_0.pop_front().unwrap(); + let mut trace_1_column_1 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_1_offset_0 = *trace_1_column_1.pop_front().unwrap(); + let mut trace_1_column_2 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_2_offset_0 = *trace_1_column_2.pop_front().unwrap(); + let mut trace_1_column_3 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_3_offset_0 = *trace_1_column_3.pop_front().unwrap(); + let mut trace_1_column_4 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_4_offset_0 = *trace_1_column_4.pop_front().unwrap(); + let mut trace_1_column_5 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_5_offset_0 = *trace_1_column_5.pop_front().unwrap(); + let mut trace_1_column_6 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_6_offset_0 = *trace_1_column_6.pop_front().unwrap(); + let mut trace_1_column_7 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_7_offset_0 = *trace_1_column_7.pop_front().unwrap(); + let mut trace_1_column_8 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_8_offset_0 = *trace_1_column_8.pop_front().unwrap(); + let mut trace_1_column_9 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_9_offset_0 = *trace_1_column_9.pop_front().unwrap(); + let mut trace_2_column_10 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_10_offset_0 = *trace_2_column_10.pop_front().unwrap(); + let mut trace_2_column_11 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_11_offset_0 = *trace_2_column_11.pop_front().unwrap(); + let mut trace_2_column_12 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_12_offset_0 = *trace_2_column_12.pop_front().unwrap(); + let mut trace_2_column_13 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_13_offset_0 = *trace_2_column_13.pop_front().unwrap(); + let mut trace_2_column_14 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_14_offset_0 = *trace_2_column_14.pop_front().unwrap(); + let mut trace_2_column_15 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_15_offset_0 = *trace_2_column_15.pop_front().unwrap(); + let mut trace_2_column_16 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_16_offset_0 = *trace_2_column_16.pop_front().unwrap(); + let mut trace_2_column_17 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_17_offset_0 = *trace_2_column_17.pop_front().unwrap(); + let mut trace_2_column_18 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_18_offset_0 = *trace_2_column_18.pop_front().unwrap(); + let mut trace_2_column_19 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_19_offset_0 = *trace_2_column_19.pop_front().unwrap(); + let mut trace_2_column_20 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_20_offset_0 = *trace_2_column_20.pop_front().unwrap(); + let mut trace_2_column_21 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_21_offset_0 = *trace_2_column_21.pop_front().unwrap(); + let mut trace_2_column_22 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_22_offset_0 = *trace_2_column_22.pop_front().unwrap(); + let mut trace_2_column_23 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_23_offset_0 = *trace_2_column_23.pop_front().unwrap(); + let mut trace_2_column_24 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_24_offset_0 = *trace_2_column_24.pop_front().unwrap(); + let mut trace_2_column_25 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_25_offset_0 = *trace_2_column_25.pop_front().unwrap(); + let mut trace_2_column_26 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_26_offset_neg_1 = *trace_2_column_26.pop_front().unwrap(); + let trace_2_column_26_offset_0 = *trace_2_column_26.pop_front().unwrap(); + let mut trace_2_column_27 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_27_offset_neg_1 = *trace_2_column_27.pop_front().unwrap(); + let trace_2_column_27_offset_0 = *trace_2_column_27.pop_front().unwrap(); + let mut trace_2_column_28 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_28_offset_neg_1 = *trace_2_column_28.pop_front().unwrap(); + let trace_2_column_28_offset_0 = *trace_2_column_28.pop_front().unwrap(); + let mut trace_2_column_29 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_29_offset_neg_1 = *trace_2_column_29.pop_front().unwrap(); + let trace_2_column_29_offset_0 = *trace_2_column_29.pop_front().unwrap(); + let intermediate0 = (IdToValue_alpha0) * (trace_1_column_0_offset_0) + + (IdToValue_alpha1) * (trace_1_column_1_offset_0) + + (IdToValue_alpha2) * (trace_1_column_2_offset_0) + + (IdToValue_alpha3) * (trace_1_column_3_offset_0) + + (IdToValue_alpha4) * (trace_1_column_4_offset_0) + + (IdToValue_alpha5) * (trace_1_column_5_offset_0) + + (IdToValue_alpha6) * (trace_1_column_6_offset_0) + + (IdToValue_alpha7) * (trace_1_column_7_offset_0) + + (IdToValue_alpha8) * (trace_1_column_8_offset_0) + - (IdToValue_z); + + let intermediate1 = (RangeCheck_9_9_alpha0) * (trace_1_column_1_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_2_offset_0) + - (RangeCheck_9_9_z); + + let intermediate2 = (RangeCheck_9_9_alpha0) * (trace_1_column_3_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_4_offset_0) + - (RangeCheck_9_9_z); + + let intermediate3 = (RangeCheck_9_9_alpha0) * (trace_1_column_5_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_6_offset_0) + - (RangeCheck_9_9_z); + + let intermediate4 = (RangeCheck_9_9_alpha0) * (trace_1_column_7_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_8_offset_0) + - (RangeCheck_9_9_z); + + let constraint_0 = (QM31Impl::from_partial_evals( + [ + trace_2_column_10_offset_0, trace_2_column_11_offset_0, trace_2_column_12_offset_0, + trace_2_column_13_offset_0, + ], + )) + * (intermediate0) + - (-(trace_1_column_9_offset_0)); + + let constraint_1 = (QM31Impl::from_partial_evals( + [ + trace_2_column_14_offset_0, trace_2_column_15_offset_0, trace_2_column_16_offset_0, + trace_2_column_17_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_10_offset_0, trace_2_column_11_offset_0, trace_2_column_12_offset_0, + trace_2_column_13_offset_0, + ], + ))) + * (intermediate1) + - (qm31(1, 0, 0, 0)); + + let constraint_2 = (QM31Impl::from_partial_evals( + [ + trace_2_column_18_offset_0, trace_2_column_19_offset_0, trace_2_column_20_offset_0, + trace_2_column_21_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_14_offset_0, trace_2_column_15_offset_0, trace_2_column_16_offset_0, + trace_2_column_17_offset_0, + ], + ))) + * (intermediate2) + - (qm31(1, 0, 0, 0)); + + let constraint_3 = (QM31Impl::from_partial_evals( + [ + trace_2_column_22_offset_0, trace_2_column_23_offset_0, trace_2_column_24_offset_0, + trace_2_column_25_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_18_offset_0, trace_2_column_19_offset_0, trace_2_column_20_offset_0, + trace_2_column_21_offset_0, + ], + ))) + * (intermediate3) + - (qm31(1, 0, 0, 0)); + + let constraint_4 = (QM31Impl::from_partial_evals( + [ + trace_2_column_26_offset_0, trace_2_column_27_offset_0, trace_2_column_28_offset_0, + trace_2_column_29_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_26_offset_neg_1, trace_2_column_27_offset_neg_1, + trace_2_column_28_offset_neg_1, trace_2_column_29_offset_neg_1, + ], + ) + - ((total_sum) * (preprocessed_is_first))) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_22_offset_0, trace_2_column_23_offset_0, trace_2_column_24_offset_0, + trace_2_column_25_offset_0, + ], + ))) + * (intermediate4) + - (qm31(1, 0, 0, 0)); + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_0 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_1 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_2 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_3 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_4 * domain_vanish_at_point_inv; +} + diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/range_check.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/range_check.cairo new file mode 100644 index 00000000..16da0fa9 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/range_check.cairo @@ -0,0 +1,319 @@ +use crate::components::CairoComponent; +use crate::utils::U32Impl; +use stwo_constraint_framework::{ + PreprocessedColumn, PreprocessedMaskValues, PreprocessedMaskValuesImpl, +}; +use stwo_verifier_core::channel::{Channel, ChannelImpl}; +use stwo_verifier_core::circle::CirclePoint; +use stwo_verifier_core::fields::qm31::{QM31, QM31Zero, QM31_EXTENSION_DEGREE}; +use stwo_verifier_core::poly::circle::CanonicCosetImpl; +use stwo_verifier_core::utils::ArrayImpl; +use stwo_verifier_core::{ColumnArray, ColumnSpan, TreeArray}; +use super::id_to_f252::N_MULTIPLICITY_COLUMNS; + +mod rc_19_constraints; +mod rc_4_3_constraints; +mod rc_7_2_5_constraints; +mod rc_9_9_constraints; + +#[derive(Drop, Serde, Clone)] +pub struct Claim { + pub log_ranges: Array, +} + +#[generate_trait] +pub impl ClaimImpl of ClaimTrait { + fn log_size(self: @Claim) -> u32 { + let mut sum = 0; + + for log_range in self.log_ranges.span() { + sum += *log_range; + }; + + sum + } + + fn log_sizes(self: @Claim) -> TreeArray> { + let log_size = self.log_size(); + let preprocessed_log_sizes = array![log_size].span(); + let trace_log_sizes = ArrayImpl::new_repeated( + self.log_ranges.len() + N_MULTIPLICITY_COLUMNS, log_size, + ) + .span(); + let interaction_log_sizes = ArrayImpl::new_repeated(QM31_EXTENSION_DEGREE, log_size).span(); + array![preprocessed_log_sizes, trace_log_sizes, interaction_log_sizes] + } + + fn mix_into(self: @Claim, ref channel: Channel) { + for log_range in self.log_ranges.span() { + channel.mix_nonce((*log_range).into()); + }; + } +} + +#[derive(Drop, Serde, Copy)] +pub struct InteractionClaim { + pub claimed_sum: QM31, +} + +#[generate_trait] +pub impl InteractionClaimImpl of InteractionClaimTrait { + fn mix_into(self: @InteractionClaim, ref channel: Channel) { + channel.mix_felts([*self.claimed_sum].span()); + } +} + +#[derive(Drop)] +pub struct Rc19BitComponent { + pub lookup_elements: super::super::RangeCheck19BitElements, + pub interaction_claim: InteractionClaim, +} + +pub impl Rc19BitComponentImpl of CairoComponent { + fn mask_points( + self: @Rc19BitComponent, + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + ) { + let trace_gen = CanonicCosetImpl::new(rc_19_log_size()).coset.step_size; + rc_19_constraints::mask_points( + ref trace_mask_points, ref interaction_trace_mask_points, point, trace_gen, + ); + } + + fn max_constraint_log_degree_bound(self: @Rc19BitComponent) -> u32 { + rc_19_log_size() + 1 + } + + fn evaluate_constraints_at_point( + self: @Rc19BitComponent, + ref sum: QM31, + ref preprocessed_mask_values: PreprocessedMaskValues, + ref trace_mask_values: ColumnSpan>, + ref interaction_trace_mask_values: ColumnSpan>, + random_coeff: QM31, + point: CirclePoint, + ) { + // TODO: Note this is equals `1`. + let mut range_check_19_alpha_powers = self.lookup_elements.alpha_powers.span(); + let range_check_19_alpha_0 = *range_check_19_alpha_powers.pop_front().unwrap(); + + let params = rc_19_constraints::ConstraintParams { + RangeCheck_19_alpha0: range_check_19_alpha_0, + RangeCheck_19_z: *self.lookup_elements.z, + preprocessed_is_first: preprocessed_mask_values + .get(PreprocessedColumn::IsFirst(rc_19_log_size())), + total_sum: *self.interaction_claim.claimed_sum, + }; + + let trace_domain = CanonicCosetImpl::new(rc_19_log_size()); + let vanish_eval = trace_domain.eval_vanishing(point); + + rc_19_constraints::evaluate_constraints_at_point( + ref sum, + ref trace_mask_values, + ref interaction_trace_mask_values, + params, + random_coeff, + vanish_eval, + ); + } +} + +#[derive(Drop)] +pub struct Rc9Bit9BitComponent { + pub lookup_elements: super::super::RangeCheck9Bit9BitElements, + pub interaction_claim: InteractionClaim, +} + +pub impl Rc9Bit9BitComponentImpl of CairoComponent { + fn mask_points( + self: @Rc9Bit9BitComponent, + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + ) { + let trace_gen = CanonicCosetImpl::new(rc_9_9_log_size()).coset.step_size; + rc_9_9_constraints::mask_points( + ref trace_mask_points, ref interaction_trace_mask_points, point, trace_gen, + ); + } + + fn max_constraint_log_degree_bound(self: @Rc9Bit9BitComponent) -> u32 { + rc_9_9_log_size() + 1 + } + + fn evaluate_constraints_at_point( + self: @Rc9Bit9BitComponent, + ref sum: QM31, + ref preprocessed_mask_values: PreprocessedMaskValues, + ref trace_mask_values: ColumnSpan>, + ref interaction_trace_mask_values: ColumnSpan>, + random_coeff: QM31, + point: CirclePoint, + ) { + // TODO: Note this is equals `1`. + let mut range_check_9_9_alpha_powers = self.lookup_elements.alpha_powers.span(); + let range_check_9_9_alpha_0 = *range_check_9_9_alpha_powers.pop_front().unwrap(); + let range_check_9_9_alpha_1 = *range_check_9_9_alpha_powers.pop_front().unwrap(); + + let params = rc_9_9_constraints::ConstraintParams { + RangeCheck_9_9_alpha0: range_check_9_9_alpha_0, + RangeCheck_9_9_alpha1: range_check_9_9_alpha_1, + RangeCheck_9_9_z: *self.lookup_elements.z, + preprocessed_is_first: preprocessed_mask_values + .get(PreprocessedColumn::IsFirst(rc_9_9_log_size())), + total_sum: *self.interaction_claim.claimed_sum, + }; + + let trace_domain = CanonicCosetImpl::new(rc_9_9_log_size()); + let vanish_eval = trace_domain.eval_vanishing(point); + + rc_9_9_constraints::evaluate_constraints_at_point( + ref sum, + ref trace_mask_values, + ref interaction_trace_mask_values, + params, + random_coeff, + vanish_eval, + ); + } +} + +#[derive(Drop)] +pub struct Rc4Bit3BitComponent { + pub lookup_elements: super::super::RangeCheck4Bit3BitElements, + pub interaction_claim: InteractionClaim, +} + +pub impl Rc4Bit3BitComponentImpl of CairoComponent { + fn mask_points( + self: @Rc4Bit3BitComponent, + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + ) { + let trace_gen = CanonicCosetImpl::new(rc_4_3_log_size()).coset.step_size; + rc_4_3_constraints::mask_points( + ref trace_mask_points, ref interaction_trace_mask_points, point, trace_gen, + ); + } + + fn max_constraint_log_degree_bound(self: @Rc4Bit3BitComponent) -> u32 { + rc_4_3_log_size() + 1 + } + + fn evaluate_constraints_at_point( + self: @Rc4Bit3BitComponent, + ref sum: QM31, + ref preprocessed_mask_values: PreprocessedMaskValues, + ref trace_mask_values: ColumnSpan>, + ref interaction_trace_mask_values: ColumnSpan>, + random_coeff: QM31, + point: CirclePoint, + ) { + // TODO: Note this is equals `1`. + let mut range_check_4_3_alpha_powers = self.lookup_elements.alpha_powers.span(); + let range_check_4_3_alpha_0 = *range_check_4_3_alpha_powers.pop_front().unwrap(); + let range_check_4_3_alpha_1 = *range_check_4_3_alpha_powers.pop_front().unwrap(); + + let params = rc_4_3_constraints::ConstraintParams { + RangeCheck_4_3_alpha0: range_check_4_3_alpha_0, + RangeCheck_4_3_alpha1: range_check_4_3_alpha_1, + RangeCheck_4_3_z: *self.lookup_elements.z, + preprocessed_is_first: preprocessed_mask_values + .get(PreprocessedColumn::IsFirst(rc_4_3_log_size())), + total_sum: *self.interaction_claim.claimed_sum, + }; + + let trace_domain = CanonicCosetImpl::new(rc_4_3_log_size()); + let vanish_eval = trace_domain.eval_vanishing(point); + + rc_4_3_constraints::evaluate_constraints_at_point( + ref sum, + ref trace_mask_values, + ref interaction_trace_mask_values, + params, + random_coeff, + vanish_eval, + ); + } +} + +#[derive(Drop)] +pub struct Rc7Bit2Bit5BitComponent { + pub lookup_elements: super::super::RangeCheck7Bit2Bit5BitElements, + pub interaction_claim: InteractionClaim, +} + +pub impl Rc7Bit2Bit5BitComponentImpl of CairoComponent { + fn mask_points( + self: @Rc7Bit2Bit5BitComponent, + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + ) { + let trace_gen = CanonicCosetImpl::new(rc_7_2_5_log_size()).coset.step_size; + rc_7_2_5_constraints::mask_points( + ref trace_mask_points, ref interaction_trace_mask_points, point, trace_gen, + ); + } + + fn max_constraint_log_degree_bound(self: @Rc7Bit2Bit5BitComponent) -> u32 { + rc_7_2_5_log_size() + 1 + } + + fn evaluate_constraints_at_point( + self: @Rc7Bit2Bit5BitComponent, + ref sum: QM31, + ref preprocessed_mask_values: PreprocessedMaskValues, + ref trace_mask_values: ColumnSpan>, + ref interaction_trace_mask_values: ColumnSpan>, + random_coeff: QM31, + point: CirclePoint, + ) { + let mut range_check_7_2_5_alpha_powers = self.lookup_elements.alpha_powers.span(); + let range_check_7_2_5_alpha_0 = *range_check_7_2_5_alpha_powers.pop_front().unwrap(); + let range_check_7_2_5_alpha_1 = *range_check_7_2_5_alpha_powers.pop_front().unwrap(); + let range_check_7_2_5_alpha_2 = *range_check_7_2_5_alpha_powers.pop_front().unwrap(); + + let params = rc_7_2_5_constraints::ConstraintParams { + RangeCheck_7_2_5_alpha0: range_check_7_2_5_alpha_0, + RangeCheck_7_2_5_alpha1: range_check_7_2_5_alpha_1, + RangeCheck_7_2_5_alpha2: range_check_7_2_5_alpha_2, + RangeCheck_7_2_5_z: *self.lookup_elements.z, + preprocessed_is_first: preprocessed_mask_values + .get(PreprocessedColumn::IsFirst(rc_7_2_5_log_size())), + total_sum: *self.interaction_claim.claimed_sum, + }; + + let trace_domain = CanonicCosetImpl::new(rc_7_2_5_log_size()); + let vanish_eval = trace_domain.eval_vanishing(point); + + rc_7_2_5_constraints::evaluate_constraints_at_point( + ref sum, + ref trace_mask_values, + ref interaction_trace_mask_values, + params, + random_coeff, + vanish_eval, + ); + } +} + +fn rc_19_log_size() -> u32 { + 19 +} + +fn rc_9_9_log_size() -> u32 { + 9 + 9 +} + +fn rc_7_2_5_log_size() -> u32 { + 7 + 2 + 5 +} + +fn rc_4_3_log_size() -> u32 { + 4 + 3 +} diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/range_check/rc_19_constraints.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/range_check/rc_19_constraints.cairo new file mode 100644 index 00000000..cff5029a --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/range_check/rc_19_constraints.cairo @@ -0,0 +1,81 @@ +use stwo_verifier_core::circle::{ + CirclePoint, CirclePointIndex, CirclePointIndexImpl, CirclePointQM31AddCirclePointM31Impl, +}; +use stwo_verifier_core::fields::m31::{M31, m31}; +use stwo_verifier_core::fields::qm31::{QM31, QM31Impl, qm31}; + +use stwo_verifier_core::{ColumnArray, ColumnSpan}; + + +pub fn mask_points( + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + trace_gen: CirclePointIndex, +) { + let point_offset_neg_1 = point.add_circle_point_m31(-trace_gen.mul(1).to_point()); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); +} + +#[derive(Drop)] +pub struct ConstraintParams { + pub RangeCheck_19_alpha0: QM31, + pub RangeCheck_19_z: QM31, + pub preprocessed_is_first: QM31, + pub total_sum: QM31, +} + +pub fn evaluate_constraints_at_point( + ref sum: QM31, + ref trace_mask_values: ColumnSpan>, + ref interaction_mask_values: ColumnSpan>, + params: ConstraintParams, + random_coeff: QM31, + domain_vanish_at_point_inv: QM31, +) { + let ConstraintParams { + RangeCheck_19_alpha0, RangeCheck_19_z, preprocessed_is_first, total_sum, + } = params; + + let mut trace_1_column_0 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_0_offset_0 = *trace_1_column_0.pop_front().unwrap(); + let mut trace_1_column_1 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_1_offset_0 = *trace_1_column_1.pop_front().unwrap(); + let mut trace_2_column_2 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_2_offset_neg_1 = *trace_2_column_2.pop_front().unwrap(); + let trace_2_column_2_offset_0 = *trace_2_column_2.pop_front().unwrap(); + let mut trace_2_column_3 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_3_offset_neg_1 = *trace_2_column_3.pop_front().unwrap(); + let trace_2_column_3_offset_0 = *trace_2_column_3.pop_front().unwrap(); + let mut trace_2_column_4 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_4_offset_neg_1 = *trace_2_column_4.pop_front().unwrap(); + let trace_2_column_4_offset_0 = *trace_2_column_4.pop_front().unwrap(); + let mut trace_2_column_5 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_5_offset_neg_1 = *trace_2_column_5.pop_front().unwrap(); + let trace_2_column_5_offset_0 = *trace_2_column_5.pop_front().unwrap(); + let intermediate0 = (RangeCheck_19_alpha0) * (trace_1_column_0_offset_0) - (RangeCheck_19_z); + + let constraint_0 = (QM31Impl::from_partial_evals( + [ + trace_2_column_2_offset_0, trace_2_column_3_offset_0, trace_2_column_4_offset_0, + trace_2_column_5_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_2_offset_neg_1, trace_2_column_3_offset_neg_1, + trace_2_column_4_offset_neg_1, trace_2_column_5_offset_neg_1, + ], + ) + - ((total_sum) * (preprocessed_is_first)))) + * (intermediate0) + - (-(trace_1_column_1_offset_0)); + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_0 * domain_vanish_at_point_inv; +} + diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/range_check/rc_4_3_constraints.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/range_check/rc_4_3_constraints.cairo new file mode 100644 index 00000000..e9f60841 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/range_check/rc_4_3_constraints.cairo @@ -0,0 +1,91 @@ +use stwo_verifier_core::circle::{ + CirclePoint, CirclePointIndex, CirclePointIndexImpl, CirclePointQM31AddCirclePointM31Impl, +}; +use stwo_verifier_core::fields::m31::{M31, m31}; +use stwo_verifier_core::fields::qm31::{QM31, QM31Impl, qm31}; + +use stwo_verifier_core::{ColumnArray, ColumnSpan}; + + +pub fn mask_points( + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + trace_gen: CirclePointIndex, +) { + let point_offset_neg_1 = point.add_circle_point_m31(-trace_gen.mul(1).to_point()); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); +} + +#[derive(Drop)] +pub struct ConstraintParams { + pub RangeCheck_4_3_alpha0: QM31, + pub RangeCheck_4_3_alpha1: QM31, + pub RangeCheck_4_3_z: QM31, + pub preprocessed_is_first: QM31, + pub total_sum: QM31, +} + +pub fn evaluate_constraints_at_point( + ref sum: QM31, + ref trace_mask_values: ColumnSpan>, + ref interaction_mask_values: ColumnSpan>, + params: ConstraintParams, + random_coeff: QM31, + domain_vanish_at_point_inv: QM31, +) { + let ConstraintParams { + RangeCheck_4_3_alpha0, + RangeCheck_4_3_alpha1, + RangeCheck_4_3_z, + preprocessed_is_first, + total_sum, + } = params; + + let mut trace_1_column_0 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_0_offset_0 = *trace_1_column_0.pop_front().unwrap(); + let mut trace_1_column_1 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_1_offset_0 = *trace_1_column_1.pop_front().unwrap(); + let mut trace_1_column_2 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_2_offset_0 = *trace_1_column_2.pop_front().unwrap(); + let mut trace_2_column_3 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_3_offset_neg_1 = *trace_2_column_3.pop_front().unwrap(); + let trace_2_column_3_offset_0 = *trace_2_column_3.pop_front().unwrap(); + let mut trace_2_column_4 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_4_offset_neg_1 = *trace_2_column_4.pop_front().unwrap(); + let trace_2_column_4_offset_0 = *trace_2_column_4.pop_front().unwrap(); + let mut trace_2_column_5 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_5_offset_neg_1 = *trace_2_column_5.pop_front().unwrap(); + let trace_2_column_5_offset_0 = *trace_2_column_5.pop_front().unwrap(); + let mut trace_2_column_6 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_6_offset_neg_1 = *trace_2_column_6.pop_front().unwrap(); + let trace_2_column_6_offset_0 = *trace_2_column_6.pop_front().unwrap(); + let intermediate0 = (RangeCheck_4_3_alpha0) * (trace_1_column_0_offset_0) + + (RangeCheck_4_3_alpha1) * (trace_1_column_1_offset_0) + - (RangeCheck_4_3_z); + + let constraint_0 = (QM31Impl::from_partial_evals( + [ + trace_2_column_3_offset_0, trace_2_column_4_offset_0, trace_2_column_5_offset_0, + trace_2_column_6_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_3_offset_neg_1, trace_2_column_4_offset_neg_1, + trace_2_column_5_offset_neg_1, trace_2_column_6_offset_neg_1, + ], + ) + - ((total_sum) * (preprocessed_is_first)))) + * (intermediate0) + - (-(trace_1_column_2_offset_0)); + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_0 * domain_vanish_at_point_inv; +} + diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/range_check/rc_7_2_5_constraints.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/range_check/rc_7_2_5_constraints.cairo new file mode 100644 index 00000000..05479029 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/range_check/rc_7_2_5_constraints.cairo @@ -0,0 +1,97 @@ +use stwo_verifier_core::circle::{ + CirclePoint, CirclePointIndex, CirclePointIndexImpl, CirclePointQM31AddCirclePointM31Impl, +}; +use stwo_verifier_core::fields::m31::{M31, m31}; +use stwo_verifier_core::fields::qm31::{QM31, QM31Impl, qm31}; + +use stwo_verifier_core::{ColumnArray, ColumnSpan}; + + +pub fn mask_points( + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + trace_gen: CirclePointIndex, +) { + let point_offset_neg_1 = point.add_circle_point_m31(-trace_gen.mul(1).to_point()); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); +} + +#[derive(Drop)] +pub struct ConstraintParams { + pub RangeCheck_7_2_5_alpha0: QM31, + pub RangeCheck_7_2_5_alpha1: QM31, + pub RangeCheck_7_2_5_alpha2: QM31, + pub RangeCheck_7_2_5_z: QM31, + pub preprocessed_is_first: QM31, + pub total_sum: QM31, +} + +pub fn evaluate_constraints_at_point( + ref sum: QM31, + ref trace_mask_values: ColumnSpan>, + ref interaction_mask_values: ColumnSpan>, + params: ConstraintParams, + random_coeff: QM31, + domain_vanish_at_point_inv: QM31, +) { + let ConstraintParams { + RangeCheck_7_2_5_alpha0, + RangeCheck_7_2_5_alpha1, + RangeCheck_7_2_5_alpha2, + RangeCheck_7_2_5_z, + preprocessed_is_first, + total_sum, + } = params; + + let mut trace_1_column_0 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_0_offset_0 = *trace_1_column_0.pop_front().unwrap(); + let mut trace_1_column_1 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_1_offset_0 = *trace_1_column_1.pop_front().unwrap(); + let mut trace_1_column_2 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_2_offset_0 = *trace_1_column_2.pop_front().unwrap(); + let mut trace_1_column_3 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_3_offset_0 = *trace_1_column_3.pop_front().unwrap(); + let mut trace_2_column_4 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_4_offset_neg_1 = *trace_2_column_4.pop_front().unwrap(); + let trace_2_column_4_offset_0 = *trace_2_column_4.pop_front().unwrap(); + let mut trace_2_column_5 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_5_offset_neg_1 = *trace_2_column_5.pop_front().unwrap(); + let trace_2_column_5_offset_0 = *trace_2_column_5.pop_front().unwrap(); + let mut trace_2_column_6 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_6_offset_neg_1 = *trace_2_column_6.pop_front().unwrap(); + let trace_2_column_6_offset_0 = *trace_2_column_6.pop_front().unwrap(); + let mut trace_2_column_7 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_7_offset_neg_1 = *trace_2_column_7.pop_front().unwrap(); + let trace_2_column_7_offset_0 = *trace_2_column_7.pop_front().unwrap(); + let intermediate0 = (RangeCheck_7_2_5_alpha0) * (trace_1_column_0_offset_0) + + (RangeCheck_7_2_5_alpha1) * (trace_1_column_1_offset_0) + + (RangeCheck_7_2_5_alpha2) * (trace_1_column_2_offset_0) + - (RangeCheck_7_2_5_z); + + let constraint_0 = (QM31Impl::from_partial_evals( + [ + trace_2_column_4_offset_0, trace_2_column_5_offset_0, trace_2_column_6_offset_0, + trace_2_column_7_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_4_offset_neg_1, trace_2_column_5_offset_neg_1, + trace_2_column_6_offset_neg_1, trace_2_column_7_offset_neg_1, + ], + ) + - ((total_sum) * (preprocessed_is_first)))) + * (intermediate0) + - (-(trace_1_column_3_offset_0)); + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_0 * domain_vanish_at_point_inv; +} + diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/range_check/rc_9_9_constraints.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/range_check/rc_9_9_constraints.cairo new file mode 100644 index 00000000..86378920 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/range_check/rc_9_9_constraints.cairo @@ -0,0 +1,91 @@ +use stwo_verifier_core::circle::{ + CirclePoint, CirclePointIndex, CirclePointIndexImpl, CirclePointQM31AddCirclePointM31Impl, +}; +use stwo_verifier_core::fields::m31::{M31, m31}; +use stwo_verifier_core::fields::qm31::{QM31, QM31Impl, qm31}; + +use stwo_verifier_core::{ColumnArray, ColumnSpan}; + + +pub fn mask_points( + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + trace_gen: CirclePointIndex, +) { + let point_offset_neg_1 = point.add_circle_point_m31(-trace_gen.mul(1).to_point()); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); + interaction_trace_mask_points.append(array![point_offset_neg_1, point]); +} + +#[derive(Drop)] +pub struct ConstraintParams { + pub RangeCheck_9_9_alpha0: QM31, + pub RangeCheck_9_9_alpha1: QM31, + pub RangeCheck_9_9_z: QM31, + pub preprocessed_is_first: QM31, + pub total_sum: QM31, +} + +pub fn evaluate_constraints_at_point( + ref sum: QM31, + ref trace_mask_values: ColumnSpan>, + ref interaction_mask_values: ColumnSpan>, + params: ConstraintParams, + random_coeff: QM31, + domain_vanish_at_point_inv: QM31, +) { + let ConstraintParams { + RangeCheck_9_9_alpha0, + RangeCheck_9_9_alpha1, + RangeCheck_9_9_z, + preprocessed_is_first, + total_sum, + } = params; + + let mut trace_1_column_0 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_0_offset_0 = *trace_1_column_0.pop_front().unwrap(); + let mut trace_1_column_1 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_1_offset_0 = *trace_1_column_1.pop_front().unwrap(); + let mut trace_1_column_2 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_2_offset_0 = *trace_1_column_2.pop_front().unwrap(); + let mut trace_2_column_3 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_3_offset_neg_1 = *trace_2_column_3.pop_front().unwrap(); + let trace_2_column_3_offset_0 = *trace_2_column_3.pop_front().unwrap(); + let mut trace_2_column_4 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_4_offset_neg_1 = *trace_2_column_4.pop_front().unwrap(); + let trace_2_column_4_offset_0 = *trace_2_column_4.pop_front().unwrap(); + let mut trace_2_column_5 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_5_offset_neg_1 = *trace_2_column_5.pop_front().unwrap(); + let trace_2_column_5_offset_0 = *trace_2_column_5.pop_front().unwrap(); + let mut trace_2_column_6 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_6_offset_neg_1 = *trace_2_column_6.pop_front().unwrap(); + let trace_2_column_6_offset_0 = *trace_2_column_6.pop_front().unwrap(); + let intermediate0 = (RangeCheck_9_9_alpha0) * (trace_1_column_0_offset_0) + + (RangeCheck_9_9_alpha1) * (trace_1_column_1_offset_0) + - (RangeCheck_9_9_z); + + let constraint_0 = (QM31Impl::from_partial_evals( + [ + trace_2_column_3_offset_0, trace_2_column_4_offset_0, trace_2_column_5_offset_0, + trace_2_column_6_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_3_offset_neg_1, trace_2_column_4_offset_neg_1, + trace_2_column_5_offset_neg_1, trace_2_column_6_offset_neg_1, + ], + ) + - ((total_sum) * (preprocessed_is_first)))) + * (intermediate0) + - (-(trace_1_column_2_offset_0)); + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_0 * domain_vanish_at_point_inv; +} + diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/ret_opcode.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/ret_opcode.cairo new file mode 100644 index 00000000..840e5c8d --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/ret_opcode.cairo @@ -0,0 +1,194 @@ +use crate::components::CairoComponent; +use crate::utils::U32Impl; +use stwo_constraint_framework::{ + ClaimedPrefixSum, PreprocessedColumn, PreprocessedMaskValues, PreprocessedMaskValuesImpl, +}; +use stwo_verifier_core::channel::{Channel, ChannelImpl}; +use stwo_verifier_core::circle::CirclePoint; +use stwo_verifier_core::fields::qm31::{QM31, QM31Zero, QM31_EXTENSION_DEGREE}; +use stwo_verifier_core::poly::circle::CanonicCosetImpl; +use stwo_verifier_core::utils::ArrayImpl; +use stwo_verifier_core::{ColumnArray, ColumnSpan, TreeArray}; + +mod constraints; + +#[derive(Drop, Serde, Copy)] +pub struct Claim { + n_calls: u32, +} + +#[generate_trait] +pub impl ClaimImpl of ClaimTrait { + fn log_size(self: @Claim) -> u32 { + (*self.n_calls).next_power_of_two().ilog2() + } + + fn log_sizes(self: @Claim) -> TreeArray> { + let log_size = self.log_size(); + let preprocessed_log_sizes = array![log_size].span(); + let trace_log_sizes = ArrayImpl::new_repeated(11, log_size).span(); + let interaction_log_sizes = ArrayImpl::new_repeated(QM31_EXTENSION_DEGREE * 7, log_size) + .span(); + array![preprocessed_log_sizes, trace_log_sizes, interaction_log_sizes] + } + + fn mix_into(self: @Claim, ref channel: Channel) { + channel.mix_nonce((*self.n_calls).into()); + } +} + +#[derive(Drop, Serde, Copy)] +pub struct InteractionClaim { + pub total_sum: QM31, + pub claimed_sum: Option, +} + +#[generate_trait] +pub impl InteractionClaimImpl of InteractionClaimTrait { + fn mix_into(self: @InteractionClaim, ref channel: Channel) { + if let Option::Some((sum_at_index, index)) = *self.claimed_sum { + channel.mix_felts([*self.total_sum, sum_at_index].span()); + channel.mix_nonce(index.into()); + } else { + channel.mix_felts([*self.total_sum].span()); + } + } +} + +#[derive(Drop)] +pub struct Component { + pub claim: Claim, + pub interaction_claim: InteractionClaim, + pub memoryaddresstoid_lookup_elements: super::super::AddrToIdElements, + pub memoryidtobig_lookup_elements: super::super::IdToValueElements, + pub verifyinstruction_lookup_elements: super::super::VerifyInstructionElements, + pub opcodes_lookup_elements: super::super::VmElements, +} + +pub impl ComponentImpl of CairoComponent { + fn mask_points( + self: @Component, + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + ) { + let claimed_sum_offset = *self.claim.n_calls; + let trace_gen = CanonicCosetImpl::new(self.claim.log_size()).coset.step_size; + constraints::mask_points( + ref trace_mask_points, + ref interaction_trace_mask_points, + point, + trace_gen, + claimed_sum_offset, + ); + } + + fn max_constraint_log_degree_bound(self: @Component) -> u32 { + self.claim.log_size() + 1 + } + + fn evaluate_constraints_at_point( + self: @Component, + ref sum: QM31, + ref preprocessed_mask_values: PreprocessedMaskValues, + ref trace_mask_values: ColumnSpan>, + ref interaction_trace_mask_values: ColumnSpan>, + random_coeff: QM31, + point: CirclePoint, + ) { + let mut id_to_value_alpha_powers = self.memoryidtobig_lookup_elements.alpha_powers.span(); + let id_to_value_alpha_pow_0 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_pow_1 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_pow_2 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_pow_3 = *id_to_value_alpha_powers.pop_front().unwrap(); + let mut addr_to_id_alpha_powers = self + .memoryaddresstoid_lookup_elements + .alpha_powers + .span(); + let addr_to_id_alpha_pow_0 = *addr_to_id_alpha_powers.pop_front().unwrap(); + let addr_to_id_alpha_pow_1 = *addr_to_id_alpha_powers.pop_front().unwrap(); + + let mut verify_instruction_alpha_powers = self + .verifyinstruction_lookup_elements + .alpha_powers + .span(); + let verify_instruction_alpha_pow_0 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_1 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_2 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_3 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_4 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_5 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_6 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_7 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_8 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_9 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_10 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_11 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_12 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_13 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_14 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_15 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_16 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_pow_17 = *verify_instruction_alpha_powers.pop_front().unwrap(); + + let mut vm_alpha_powers = self.opcodes_lookup_elements.alpha_powers.span(); + let vm_alpha_pow_0 = *vm_alpha_powers.pop_front().unwrap(); + let vm_alpha_pow_1 = *vm_alpha_powers.pop_front().unwrap(); + let vm_alpha_pow_2 = *vm_alpha_powers.pop_front().unwrap(); + let vm_z = *self.opcodes_lookup_elements.z; + + let (claimed_sum, _) = (*self.interaction_claim.claimed_sum).unwrap(); + + let log_size = self.claim.log_size(); + + let params = constraints::ConstraintParams { + AddrToId_alpha0: addr_to_id_alpha_pow_0, + AddrToId_alpha1: addr_to_id_alpha_pow_1, + AddrToId_z: *self.memoryaddresstoid_lookup_elements.z, + IdToValue_alpha0: id_to_value_alpha_pow_0, + IdToValue_alpha1: id_to_value_alpha_pow_1, + IdToValue_alpha2: id_to_value_alpha_pow_2, + IdToValue_alpha3: id_to_value_alpha_pow_3, + IdToValue_z: *self.memoryidtobig_lookup_elements.z, + VerifyInstruction_alpha0: verify_instruction_alpha_pow_0, + VerifyInstruction_alpha1: verify_instruction_alpha_pow_1, + VerifyInstruction_alpha2: verify_instruction_alpha_pow_2, + VerifyInstruction_alpha3: verify_instruction_alpha_pow_3, + VerifyInstruction_alpha4: verify_instruction_alpha_pow_4, + VerifyInstruction_alpha5: verify_instruction_alpha_pow_5, + VerifyInstruction_alpha6: verify_instruction_alpha_pow_6, + VerifyInstruction_alpha7: verify_instruction_alpha_pow_7, + VerifyInstruction_alpha8: verify_instruction_alpha_pow_8, + VerifyInstruction_alpha9: verify_instruction_alpha_pow_9, + VerifyInstruction_alpha10: verify_instruction_alpha_pow_10, + VerifyInstruction_alpha11: verify_instruction_alpha_pow_11, + VerifyInstruction_alpha12: verify_instruction_alpha_pow_12, + VerifyInstruction_alpha13: verify_instruction_alpha_pow_13, + VerifyInstruction_alpha14: verify_instruction_alpha_pow_14, + VerifyInstruction_alpha15: verify_instruction_alpha_pow_15, + VerifyInstruction_alpha16: verify_instruction_alpha_pow_16, + VerifyInstruction_alpha17: verify_instruction_alpha_pow_17, + VerifyInstruction_z: *self.verifyinstruction_lookup_elements.z, + Vm_alpha0: vm_alpha_pow_0, + Vm_alpha1: vm_alpha_pow_1, + Vm_alpha2: vm_alpha_pow_2, + Vm_z: vm_z, + claimed_sum: claimed_sum, + preprocessed_is_first: preprocessed_mask_values + .get(PreprocessedColumn::IsFirst(log_size)), + total_sum: *self.interaction_claim.total_sum, + }; + + let trace_domain = CanonicCosetImpl::new(log_size); + let vanish_eval = trace_domain.eval_vanishing(point); + + constraints::evaluate_constraints_at_point( + ref sum, + ref trace_mask_values, + ref interaction_trace_mask_values, + params, + random_coeff, + vanish_eval, + ) + } +} diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/ret_opcode/constraints.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/ret_opcode/constraints.cairo new file mode 100644 index 00000000..9eaf7fa3 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/ret_opcode/constraints.cairo @@ -0,0 +1,412 @@ +use stwo_verifier_core::circle::{ + CirclePoint, CirclePointIndex, CirclePointIndexImpl, CirclePointQM31AddCirclePointM31Impl, +}; +use stwo_verifier_core::fields::m31::{M31, m31}; +use stwo_verifier_core::fields::qm31::{QM31, QM31Impl, qm31}; + +use stwo_verifier_core::{ColumnArray, ColumnSpan}; + + +pub fn mask_points( + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + trace_gen: CirclePointIndex, + claimed_sum_offset: usize, +) { + let point_offset_neg_1 = point.add_circle_point_m31(-trace_gen.mul(1).to_point()); + let point_offset_claimed_sum = point + .add_circle_point_m31(trace_gen.mul(claimed_sum_offset).to_point()); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points + .append(array![point_offset_neg_1, point, point_offset_claimed_sum]); + interaction_trace_mask_points + .append(array![point_offset_neg_1, point, point_offset_claimed_sum]); + interaction_trace_mask_points + .append(array![point_offset_neg_1, point, point_offset_claimed_sum]); + interaction_trace_mask_points + .append(array![point_offset_neg_1, point, point_offset_claimed_sum]); +} + +#[derive(Drop)] +pub struct ConstraintParams { + pub AddrToId_alpha0: QM31, + pub AddrToId_alpha1: QM31, + pub AddrToId_z: QM31, + pub IdToValue_alpha0: QM31, + pub IdToValue_alpha1: QM31, + pub IdToValue_alpha2: QM31, + pub IdToValue_alpha3: QM31, + pub IdToValue_z: QM31, + pub VerifyInstruction_alpha0: QM31, + pub VerifyInstruction_alpha1: QM31, + pub VerifyInstruction_alpha10: QM31, + pub VerifyInstruction_alpha11: QM31, + pub VerifyInstruction_alpha12: QM31, + pub VerifyInstruction_alpha13: QM31, + pub VerifyInstruction_alpha14: QM31, + pub VerifyInstruction_alpha15: QM31, + pub VerifyInstruction_alpha16: QM31, + pub VerifyInstruction_alpha17: QM31, + pub VerifyInstruction_alpha2: QM31, + pub VerifyInstruction_alpha3: QM31, + pub VerifyInstruction_alpha4: QM31, + pub VerifyInstruction_alpha5: QM31, + pub VerifyInstruction_alpha6: QM31, + pub VerifyInstruction_alpha7: QM31, + pub VerifyInstruction_alpha8: QM31, + pub VerifyInstruction_alpha9: QM31, + pub VerifyInstruction_z: QM31, + pub Vm_alpha0: QM31, + pub Vm_alpha1: QM31, + pub Vm_alpha2: QM31, + pub Vm_z: QM31, + pub claimed_sum: QM31, + pub preprocessed_is_first: QM31, + pub total_sum: QM31, +} + +pub fn evaluate_constraints_at_point( + ref sum: QM31, + ref trace_mask_values: ColumnSpan>, + ref interaction_mask_values: ColumnSpan>, + params: ConstraintParams, + random_coeff: QM31, + domain_vanish_at_point_inv: QM31, +) { + let ConstraintParams { + AddrToId_alpha0, + AddrToId_alpha1, + AddrToId_z, + IdToValue_alpha0, + IdToValue_alpha1, + IdToValue_alpha2, + IdToValue_alpha3, + IdToValue_z, + VerifyInstruction_alpha0, + VerifyInstruction_alpha1, + VerifyInstruction_alpha10, + VerifyInstruction_alpha11, + VerifyInstruction_alpha12, + VerifyInstruction_alpha13, + VerifyInstruction_alpha14, + VerifyInstruction_alpha15, + VerifyInstruction_alpha16, + VerifyInstruction_alpha17, + VerifyInstruction_alpha2, + VerifyInstruction_alpha3, + VerifyInstruction_alpha4, + VerifyInstruction_alpha5, + VerifyInstruction_alpha6, + VerifyInstruction_alpha7, + VerifyInstruction_alpha8, + VerifyInstruction_alpha9, + VerifyInstruction_z, + Vm_alpha0, + Vm_alpha1, + Vm_alpha2, + Vm_z, + claimed_sum, + preprocessed_is_first, + total_sum, + } = params; + + let mut trace_1_column_0 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_0_offset_0 = *trace_1_column_0.pop_front().unwrap(); + let mut trace_1_column_1 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_1_offset_0 = *trace_1_column_1.pop_front().unwrap(); + let mut trace_1_column_2 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_2_offset_0 = *trace_1_column_2.pop_front().unwrap(); + let mut trace_1_column_3 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_3_offset_0 = *trace_1_column_3.pop_front().unwrap(); + let mut trace_1_column_4 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_4_offset_0 = *trace_1_column_4.pop_front().unwrap(); + let mut trace_1_column_5 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_5_offset_0 = *trace_1_column_5.pop_front().unwrap(); + let mut trace_1_column_6 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_6_offset_0 = *trace_1_column_6.pop_front().unwrap(); + let mut trace_1_column_7 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_7_offset_0 = *trace_1_column_7.pop_front().unwrap(); + let mut trace_1_column_8 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_8_offset_0 = *trace_1_column_8.pop_front().unwrap(); + let mut trace_1_column_9 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_9_offset_0 = *trace_1_column_9.pop_front().unwrap(); + let mut trace_1_column_10 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_10_offset_0 = *trace_1_column_10.pop_front().unwrap(); + let mut trace_2_column_11 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_11_offset_0 = *trace_2_column_11.pop_front().unwrap(); + let mut trace_2_column_12 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_12_offset_0 = *trace_2_column_12.pop_front().unwrap(); + let mut trace_2_column_13 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_13_offset_0 = *trace_2_column_13.pop_front().unwrap(); + let mut trace_2_column_14 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_14_offset_0 = *trace_2_column_14.pop_front().unwrap(); + let mut trace_2_column_15 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_15_offset_0 = *trace_2_column_15.pop_front().unwrap(); + let mut trace_2_column_16 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_16_offset_0 = *trace_2_column_16.pop_front().unwrap(); + let mut trace_2_column_17 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_17_offset_0 = *trace_2_column_17.pop_front().unwrap(); + let mut trace_2_column_18 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_18_offset_0 = *trace_2_column_18.pop_front().unwrap(); + let mut trace_2_column_19 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_19_offset_0 = *trace_2_column_19.pop_front().unwrap(); + let mut trace_2_column_20 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_20_offset_0 = *trace_2_column_20.pop_front().unwrap(); + let mut trace_2_column_21 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_21_offset_0 = *trace_2_column_21.pop_front().unwrap(); + let mut trace_2_column_22 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_22_offset_0 = *trace_2_column_22.pop_front().unwrap(); + let mut trace_2_column_23 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_23_offset_0 = *trace_2_column_23.pop_front().unwrap(); + let mut trace_2_column_24 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_24_offset_0 = *trace_2_column_24.pop_front().unwrap(); + let mut trace_2_column_25 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_25_offset_0 = *trace_2_column_25.pop_front().unwrap(); + let mut trace_2_column_26 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_26_offset_0 = *trace_2_column_26.pop_front().unwrap(); + let mut trace_2_column_27 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_27_offset_0 = *trace_2_column_27.pop_front().unwrap(); + let mut trace_2_column_28 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_28_offset_0 = *trace_2_column_28.pop_front().unwrap(); + let mut trace_2_column_29 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_29_offset_0 = *trace_2_column_29.pop_front().unwrap(); + let mut trace_2_column_30 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_30_offset_0 = *trace_2_column_30.pop_front().unwrap(); + let mut trace_2_column_31 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_31_offset_0 = *trace_2_column_31.pop_front().unwrap(); + let mut trace_2_column_32 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_32_offset_0 = *trace_2_column_32.pop_front().unwrap(); + let mut trace_2_column_33 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_33_offset_0 = *trace_2_column_33.pop_front().unwrap(); + let mut trace_2_column_34 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_34_offset_0 = *trace_2_column_34.pop_front().unwrap(); + let mut trace_2_column_35 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_35_offset_neg_1 = *trace_2_column_35.pop_front().unwrap(); + let trace_2_column_35_offset_0 = *trace_2_column_35.pop_front().unwrap(); + let trace_2_column_35_offset_claimed_sum = *trace_2_column_35.pop_front().unwrap(); + let mut trace_2_column_36 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_36_offset_neg_1 = *trace_2_column_36.pop_front().unwrap(); + let trace_2_column_36_offset_0 = *trace_2_column_36.pop_front().unwrap(); + let trace_2_column_36_offset_claimed_sum = *trace_2_column_36.pop_front().unwrap(); + let mut trace_2_column_37 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_37_offset_neg_1 = *trace_2_column_37.pop_front().unwrap(); + let trace_2_column_37_offset_0 = *trace_2_column_37.pop_front().unwrap(); + let trace_2_column_37_offset_claimed_sum = *trace_2_column_37.pop_front().unwrap(); + let mut trace_2_column_38 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_38_offset_neg_1 = *trace_2_column_38.pop_front().unwrap(); + let trace_2_column_38_offset_0 = *trace_2_column_38.pop_front().unwrap(); + let trace_2_column_38_offset_claimed_sum = *trace_2_column_38.pop_front().unwrap(); + let intermediate0 = (VerifyInstruction_alpha0) * (trace_1_column_0_offset_0) + + (VerifyInstruction_alpha1) * (qm31(32766, 0, 0, 0)) + + (VerifyInstruction_alpha2) * (qm31(32767, 0, 0, 0)) + + (VerifyInstruction_alpha3) * (qm31(32767, 0, 0, 0)) + + VerifyInstruction_alpha4 + + VerifyInstruction_alpha5 + + VerifyInstruction_alpha7 + + VerifyInstruction_alpha11 + + VerifyInstruction_alpha17 + - (VerifyInstruction_z); + + let intermediate1 = (AddrToId_alpha0) * (trace_1_column_2_offset_0 - (m31(1).into())) + + (AddrToId_alpha1) * (trace_1_column_3_offset_0) + - (AddrToId_z); + + let intermediate2 = (IdToValue_alpha0) * (trace_1_column_3_offset_0) + + (IdToValue_alpha1) * (trace_1_column_4_offset_0) + + (IdToValue_alpha2) * (trace_1_column_5_offset_0) + + (IdToValue_alpha3) * (trace_1_column_6_offset_0) + - (IdToValue_z); + + let intermediate3 = (AddrToId_alpha0) * (trace_1_column_2_offset_0 - (m31(2).into())) + + (AddrToId_alpha1) * (trace_1_column_7_offset_0) + - (AddrToId_z); + + let intermediate4 = (IdToValue_alpha0) * (trace_1_column_7_offset_0) + + (IdToValue_alpha1) * (trace_1_column_8_offset_0) + + (IdToValue_alpha2) * (trace_1_column_9_offset_0) + + (IdToValue_alpha3) * (trace_1_column_10_offset_0) + - (IdToValue_z); + + let intermediate5 = (Vm_alpha0) * (trace_1_column_0_offset_0) + + (Vm_alpha1) * (trace_1_column_1_offset_0) + + (Vm_alpha2) * (trace_1_column_2_offset_0) + - (Vm_z); + + let intermediate6 = (Vm_alpha0) + * (trace_1_column_4_offset_0 + + (trace_1_column_5_offset_0) * (m31(512).into()) + + (trace_1_column_6_offset_0) * (m31(262144).into())) + + (Vm_alpha1) * (trace_1_column_1_offset_0) + + (Vm_alpha2) + * (trace_1_column_8_offset_0 + + (trace_1_column_9_offset_0) * (m31(512).into()) + + (trace_1_column_10_offset_0) * (m31(262144).into())) + - (Vm_z); + + let constraint_0 = (QM31Impl::from_partial_evals( + [ + trace_2_column_11_offset_0, trace_2_column_12_offset_0, trace_2_column_13_offset_0, + trace_2_column_14_offset_0, + ], + )) + * (intermediate0) + - (qm31(1, 0, 0, 0)); + + let constraint_1 = (QM31Impl::from_partial_evals( + [ + trace_2_column_15_offset_0, trace_2_column_16_offset_0, trace_2_column_17_offset_0, + trace_2_column_18_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_11_offset_0, trace_2_column_12_offset_0, trace_2_column_13_offset_0, + trace_2_column_14_offset_0, + ], + ))) + * (intermediate1) + - (qm31(1, 0, 0, 0)); + + let constraint_2 = (QM31Impl::from_partial_evals( + [ + trace_2_column_19_offset_0, trace_2_column_20_offset_0, trace_2_column_21_offset_0, + trace_2_column_22_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_15_offset_0, trace_2_column_16_offset_0, trace_2_column_17_offset_0, + trace_2_column_18_offset_0, + ], + ))) + * (intermediate2) + - (qm31(1, 0, 0, 0)); + + let constraint_3 = (QM31Impl::from_partial_evals( + [ + trace_2_column_23_offset_0, trace_2_column_24_offset_0, trace_2_column_25_offset_0, + trace_2_column_26_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_19_offset_0, trace_2_column_20_offset_0, trace_2_column_21_offset_0, + trace_2_column_22_offset_0, + ], + ))) + * (intermediate3) + - (qm31(1, 0, 0, 0)); + + let constraint_4 = (QM31Impl::from_partial_evals( + [ + trace_2_column_27_offset_0, trace_2_column_28_offset_0, trace_2_column_29_offset_0, + trace_2_column_30_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_23_offset_0, trace_2_column_24_offset_0, trace_2_column_25_offset_0, + trace_2_column_26_offset_0, + ], + ))) + * (intermediate4) + - (qm31(1, 0, 0, 0)); + + let constraint_5 = (QM31Impl::from_partial_evals( + [ + trace_2_column_31_offset_0, trace_2_column_32_offset_0, trace_2_column_33_offset_0, + trace_2_column_34_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_27_offset_0, trace_2_column_28_offset_0, trace_2_column_29_offset_0, + trace_2_column_30_offset_0, + ], + ))) + * (intermediate5) + - (qm31(1, 0, 0, 0)); + + let constraint_6 = (QM31Impl::from_partial_evals( + [ + trace_2_column_35_offset_claimed_sum, trace_2_column_36_offset_claimed_sum, + trace_2_column_37_offset_claimed_sum, trace_2_column_38_offset_claimed_sum, + ], + ) + - (claimed_sum)) + * (preprocessed_is_first); + + let constraint_7 = (QM31Impl::from_partial_evals( + [ + trace_2_column_35_offset_0, trace_2_column_36_offset_0, trace_2_column_37_offset_0, + trace_2_column_38_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_35_offset_neg_1, trace_2_column_36_offset_neg_1, + trace_2_column_37_offset_neg_1, trace_2_column_38_offset_neg_1, + ], + ) + - ((total_sum) * (preprocessed_is_first))) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_31_offset_0, trace_2_column_32_offset_0, trace_2_column_33_offset_0, + trace_2_column_34_offset_0, + ], + ))) + * (intermediate6) + - (qm31(2147483646, 0, 0, 0)); + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_0 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_1 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_2 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_3 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_4 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_5 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_6 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_7 * domain_vanish_at_point_inv; +} + diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/verify_instruction.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/verify_instruction.cairo new file mode 100644 index 00000000..42bb6f52 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/verify_instruction.cairo @@ -0,0 +1,219 @@ +use crate::components::CairoComponent; +use crate::utils::U32Impl; +use stwo_constraint_framework::{ + ClaimedPrefixSum, PreprocessedColumn, PreprocessedMaskValues, PreprocessedMaskValuesImpl, +}; +use stwo_verifier_core::channel::{Channel, ChannelImpl}; +use stwo_verifier_core::circle::CirclePoint; +use stwo_verifier_core::fields::qm31::{QM31, QM31Zero, QM31_EXTENSION_DEGREE}; +use stwo_verifier_core::poly::circle::CanonicCosetImpl; +use stwo_verifier_core::utils::ArrayImpl; +use stwo_verifier_core::{ColumnArray, ColumnSpan, TreeArray}; + +mod constraints; + +#[derive(Drop, Serde, Copy)] +pub struct Claim { + pub n_calls: usize, +} + +#[generate_trait] +pub impl ClaimImpl of ClaimTrait { + fn log_size(self: @Claim) -> u32 { + (*self.n_calls).next_power_of_two().ilog2() + } + + fn log_sizes(self: @Claim) -> TreeArray> { + let log_size = self.log_size(); + let preprocesed_trace_log_sizes = array![log_size].span(); + let trace_log_sizes = ArrayImpl::new_repeated(28, log_size).span(); + let interaction_log_sizes = ArrayImpl::new_repeated(QM31_EXTENSION_DEGREE * 5, log_size) + .span(); + array![preprocesed_trace_log_sizes, trace_log_sizes, interaction_log_sizes] + } + + fn mix_into(self: @Claim, ref channel: Channel) { + channel.mix_nonce((*self.n_calls).into()); + } +} + +#[derive(Drop, Serde, Copy)] +pub struct InteractionClaim { + pub total_sum: QM31, + pub claimed_sum: Option, +} + +#[generate_trait] +pub impl InteractionClaimImpl of InteractionClaimTrait { + fn mix_into(self: @InteractionClaim, ref channel: Channel) { + channel.mix_felts([*self.total_sum].span()); + } +} + +#[derive(Drop)] +pub struct Component { + pub claim: Claim, + pub interaction_claim: InteractionClaim, + pub memoryaddresstoid_lookup_elements: super::super::AddrToIdElements, + pub memoryidtobig_lookup_elements: super::super::IdToValueElements, + pub rangecheck_4_3_lookup_elements: super::super::RangeCheck4Bit3BitElements, + pub range_check_7_2_5_lookup_elements: super::super::RangeCheck7Bit2Bit5BitElements, + pub verifyinstruction_lookup_elements: super::super::VerifyInstructionElements, +} + +pub impl ComponentImpl of CairoComponent { + fn mask_points( + self: @Component, + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + ) { + let claimed_sum_offset = *self.claim.n_calls; + let trace_gen = CanonicCosetImpl::new(self.claim.log_size()).coset.step_size; + constraints::mask_points( + ref trace_mask_points, + ref interaction_trace_mask_points, + point, + trace_gen, + claimed_sum_offset, + ); + } + + fn max_constraint_log_degree_bound(self: @Component) -> u32 { + self.claim.log_size() + 1 + } + + fn evaluate_constraints_at_point( + self: @Component, + ref sum: QM31, + ref preprocessed_mask_values: PreprocessedMaskValues, + ref trace_mask_values: ColumnSpan>, + ref interaction_trace_mask_values: ColumnSpan>, + random_coeff: QM31, + point: CirclePoint, + ) { + let mut addr_to_id_alpha_powers = self + .memoryaddresstoid_lookup_elements + .alpha_powers + .span(); + let addr_to_id_alpha_0 = *addr_to_id_alpha_powers.pop_front().unwrap(); + let addr_to_id_alpha_1 = *addr_to_id_alpha_powers.pop_front().unwrap(); + let addr_to_id_z = *addr_to_id_alpha_powers.pop_front().unwrap(); + + let mut id_to_value_alpha_powers = self.memoryidtobig_lookup_elements.alpha_powers.span(); + let id_to_value_alpha_0 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_1 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_2 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_3 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_4 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_5 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_6 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_alpha_7 = *id_to_value_alpha_powers.pop_front().unwrap(); + let id_to_value_z = *id_to_value_alpha_powers.pop_front().unwrap(); + + let mut range_check_4_3_alpha_powers = self + .rangecheck_4_3_lookup_elements + .alpha_powers + .span(); + let range_check_4_3_alpha_0 = *range_check_4_3_alpha_powers.pop_front().unwrap(); + let range_check_4_3_alpha_1 = *range_check_4_3_alpha_powers.pop_front().unwrap(); + let range_check_4_3_z = *range_check_4_3_alpha_powers.pop_front().unwrap(); + + let mut range_check_7_2_5_alpha_powers = self + .range_check_7_2_5_lookup_elements + .alpha_powers + .span(); + let range_check_7_2_5_alpha_0 = *range_check_7_2_5_alpha_powers.pop_front().unwrap(); + let range_check_7_2_5_alpha_1 = *range_check_7_2_5_alpha_powers.pop_front().unwrap(); + let range_check_7_2_5_alpha_2 = *range_check_7_2_5_alpha_powers.pop_front().unwrap(); + let range_check_7_2_5_z = *range_check_7_2_5_alpha_powers.pop_front().unwrap(); + + let mut verify_instruction_alpha_powers = self + .verifyinstruction_lookup_elements + .alpha_powers + .span(); + let verify_instruction_alpha_0 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_1 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_2 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_3 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_4 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_5 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_6 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_7 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_8 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_9 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_10 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_11 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_12 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_13 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_14 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_15 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_16 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_17 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_alpha_18 = *verify_instruction_alpha_powers.pop_front().unwrap(); + let verify_instruction_z = *verify_instruction_alpha_powers.pop_front().unwrap(); + + let (claimed_sum, _) = (*self.interaction_claim.claimed_sum).unwrap(); + + let log_size = self.claim.log_size(); + + let params = constraints::ConstraintParams { + AddrToId_alpha0: addr_to_id_alpha_0, + AddrToId_alpha1: addr_to_id_alpha_1, + AddrToId_z: addr_to_id_z, + IdToValue_alpha0: id_to_value_alpha_0, + IdToValue_alpha1: id_to_value_alpha_1, + IdToValue_alpha2: id_to_value_alpha_2, + IdToValue_alpha3: id_to_value_alpha_3, + IdToValue_alpha4: id_to_value_alpha_4, + IdToValue_alpha5: id_to_value_alpha_5, + IdToValue_alpha6: id_to_value_alpha_6, + IdToValue_alpha7: id_to_value_alpha_7, + IdToValue_z: id_to_value_z, + RangeCheck_4_3_alpha0: range_check_4_3_alpha_0, + RangeCheck_4_3_alpha1: range_check_4_3_alpha_1, + RangeCheck_4_3_z: range_check_4_3_z, + RangeCheck_7_2_5_alpha0: range_check_7_2_5_alpha_0, + RangeCheck_7_2_5_alpha1: range_check_7_2_5_alpha_1, + RangeCheck_7_2_5_alpha2: range_check_7_2_5_alpha_2, + RangeCheck_7_2_5_z: range_check_7_2_5_z, + VerifyInstruction_alpha0: verify_instruction_alpha_0, + VerifyInstruction_alpha1: verify_instruction_alpha_1, + VerifyInstruction_alpha10: verify_instruction_alpha_10, + VerifyInstruction_alpha11: verify_instruction_alpha_11, + VerifyInstruction_alpha12: verify_instruction_alpha_12, + VerifyInstruction_alpha13: verify_instruction_alpha_13, + VerifyInstruction_alpha14: verify_instruction_alpha_14, + VerifyInstruction_alpha15: verify_instruction_alpha_15, + VerifyInstruction_alpha16: verify_instruction_alpha_16, + VerifyInstruction_alpha17: verify_instruction_alpha_17, + VerifyInstruction_alpha18: verify_instruction_alpha_18, + VerifyInstruction_alpha2: verify_instruction_alpha_2, + VerifyInstruction_alpha3: verify_instruction_alpha_3, + VerifyInstruction_alpha4: verify_instruction_alpha_4, + VerifyInstruction_alpha5: verify_instruction_alpha_5, + VerifyInstruction_alpha6: verify_instruction_alpha_6, + VerifyInstruction_alpha7: verify_instruction_alpha_7, + VerifyInstruction_alpha8: verify_instruction_alpha_8, + VerifyInstruction_alpha9: verify_instruction_alpha_9, + VerifyInstruction_z: verify_instruction_z, + claimed_sum: claimed_sum, + // TODO + preprocessed_is_first: preprocessed_mask_values + .get(PreprocessedColumn::IsFirst(log_size)), + total_sum: *self.interaction_claim.total_sum, + }; + + let trace_domain = CanonicCosetImpl::new(log_size); + let vanish_eval = trace_domain.eval_vanishing(point); + + constraints::evaluate_constraints_at_point( + ref sum, + ref trace_mask_values, + ref interaction_trace_mask_values, + params, + random_coeff, + vanish_eval, + ); + } +} diff --git a/stwo_cairo_verifier/crates/cairo_air/src/components/verify_instruction/constraints.cairo b/stwo_cairo_verifier/crates/cairo_air/src/components/verify_instruction/constraints.cairo new file mode 100644 index 00000000..0ff5cb3f --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/components/verify_instruction/constraints.cairo @@ -0,0 +1,525 @@ +use stwo_verifier_core::circle::{ + CirclePoint, CirclePointIndex, CirclePointIndexImpl, CirclePointQM31AddCirclePointM31Impl, +}; +use stwo_verifier_core::fields::m31::{M31, m31}; +use stwo_verifier_core::fields::qm31::{QM31, QM31Impl, qm31}; + +use stwo_verifier_core::{ColumnArray, ColumnSpan}; + + +pub fn mask_points( + ref trace_mask_points: ColumnArray>>, + ref interaction_trace_mask_points: ColumnArray>>, + point: CirclePoint, + trace_gen: CirclePointIndex, + claimed_sum_offset: usize, +) { + let point_offset_neg_1 = point.add_circle_point_m31(-trace_gen.mul(1).to_point()); + let point_offset_claimed_sum = point + .add_circle_point_m31(trace_gen.mul(claimed_sum_offset).to_point()); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points.append(array![point]); + interaction_trace_mask_points + .append(array![point_offset_neg_1, point, point_offset_claimed_sum]); + interaction_trace_mask_points + .append(array![point_offset_neg_1, point, point_offset_claimed_sum]); + interaction_trace_mask_points + .append(array![point_offset_neg_1, point, point_offset_claimed_sum]); + interaction_trace_mask_points + .append(array![point_offset_neg_1, point, point_offset_claimed_sum]); +} + +#[derive(Drop)] +pub struct ConstraintParams { + pub AddrToId_alpha0: QM31, + pub AddrToId_alpha1: QM31, + pub AddrToId_z: QM31, + pub IdToValue_alpha0: QM31, + pub IdToValue_alpha1: QM31, + pub IdToValue_alpha2: QM31, + pub IdToValue_alpha3: QM31, + pub IdToValue_alpha4: QM31, + pub IdToValue_alpha5: QM31, + pub IdToValue_alpha6: QM31, + pub IdToValue_alpha7: QM31, + pub IdToValue_z: QM31, + pub RangeCheck_4_3_alpha0: QM31, + pub RangeCheck_4_3_alpha1: QM31, + pub RangeCheck_4_3_z: QM31, + pub RangeCheck_7_2_5_alpha0: QM31, + pub RangeCheck_7_2_5_alpha1: QM31, + pub RangeCheck_7_2_5_alpha2: QM31, + pub RangeCheck_7_2_5_z: QM31, + pub VerifyInstruction_alpha0: QM31, + pub VerifyInstruction_alpha1: QM31, + pub VerifyInstruction_alpha10: QM31, + pub VerifyInstruction_alpha11: QM31, + pub VerifyInstruction_alpha12: QM31, + pub VerifyInstruction_alpha13: QM31, + pub VerifyInstruction_alpha14: QM31, + pub VerifyInstruction_alpha15: QM31, + pub VerifyInstruction_alpha16: QM31, + pub VerifyInstruction_alpha17: QM31, + pub VerifyInstruction_alpha18: QM31, + pub VerifyInstruction_alpha2: QM31, + pub VerifyInstruction_alpha3: QM31, + pub VerifyInstruction_alpha4: QM31, + pub VerifyInstruction_alpha5: QM31, + pub VerifyInstruction_alpha6: QM31, + pub VerifyInstruction_alpha7: QM31, + pub VerifyInstruction_alpha8: QM31, + pub VerifyInstruction_alpha9: QM31, + pub VerifyInstruction_z: QM31, + pub claimed_sum: QM31, + pub preprocessed_is_first: QM31, + pub total_sum: QM31, +} + +pub fn evaluate_constraints_at_point( + ref sum: QM31, + ref trace_mask_values: ColumnSpan>, + ref interaction_mask_values: ColumnSpan>, + params: ConstraintParams, + random_coeff: QM31, + domain_vanish_at_point_inv: QM31, +) { + let ConstraintParams { + AddrToId_alpha0, + AddrToId_alpha1, + AddrToId_z, + IdToValue_alpha0, + IdToValue_alpha1, + IdToValue_alpha2, + IdToValue_alpha3, + IdToValue_alpha4, + IdToValue_alpha5, + IdToValue_alpha6, + IdToValue_alpha7, + IdToValue_z, + RangeCheck_4_3_alpha0, + RangeCheck_4_3_alpha1, + RangeCheck_4_3_z, + RangeCheck_7_2_5_alpha0, + RangeCheck_7_2_5_alpha1, + RangeCheck_7_2_5_alpha2, + RangeCheck_7_2_5_z, + VerifyInstruction_alpha0, + VerifyInstruction_alpha1, + VerifyInstruction_alpha10, + VerifyInstruction_alpha11, + VerifyInstruction_alpha12, + VerifyInstruction_alpha13, + VerifyInstruction_alpha14, + VerifyInstruction_alpha15, + VerifyInstruction_alpha16, + VerifyInstruction_alpha17, + VerifyInstruction_alpha18, + VerifyInstruction_alpha2, + VerifyInstruction_alpha3, + VerifyInstruction_alpha4, + VerifyInstruction_alpha5, + VerifyInstruction_alpha6, + VerifyInstruction_alpha7, + VerifyInstruction_alpha8, + VerifyInstruction_alpha9, + VerifyInstruction_z, + claimed_sum, + preprocessed_is_first, + total_sum, + } = params; + + let mut trace_1_column_0 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_0_offset_0 = *trace_1_column_0.pop_front().unwrap(); + let mut trace_1_column_1 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_1_offset_0 = *trace_1_column_1.pop_front().unwrap(); + let mut trace_1_column_2 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_2_offset_0 = *trace_1_column_2.pop_front().unwrap(); + let mut trace_1_column_3 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_3_offset_0 = *trace_1_column_3.pop_front().unwrap(); + let mut trace_1_column_4 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_4_offset_0 = *trace_1_column_4.pop_front().unwrap(); + let mut trace_1_column_5 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_5_offset_0 = *trace_1_column_5.pop_front().unwrap(); + let mut trace_1_column_6 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_6_offset_0 = *trace_1_column_6.pop_front().unwrap(); + let mut trace_1_column_7 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_7_offset_0 = *trace_1_column_7.pop_front().unwrap(); + let mut trace_1_column_8 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_8_offset_0 = *trace_1_column_8.pop_front().unwrap(); + let mut trace_1_column_9 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_9_offset_0 = *trace_1_column_9.pop_front().unwrap(); + let mut trace_1_column_10 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_10_offset_0 = *trace_1_column_10.pop_front().unwrap(); + let mut trace_1_column_11 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_11_offset_0 = *trace_1_column_11.pop_front().unwrap(); + let mut trace_1_column_12 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_12_offset_0 = *trace_1_column_12.pop_front().unwrap(); + let mut trace_1_column_13 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_13_offset_0 = *trace_1_column_13.pop_front().unwrap(); + let mut trace_1_column_14 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_14_offset_0 = *trace_1_column_14.pop_front().unwrap(); + let mut trace_1_column_15 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_15_offset_0 = *trace_1_column_15.pop_front().unwrap(); + let mut trace_1_column_16 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_16_offset_0 = *trace_1_column_16.pop_front().unwrap(); + let mut trace_1_column_17 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_17_offset_0 = *trace_1_column_17.pop_front().unwrap(); + let mut trace_1_column_18 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_18_offset_0 = *trace_1_column_18.pop_front().unwrap(); + let mut trace_1_column_19 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_19_offset_0 = *trace_1_column_19.pop_front().unwrap(); + let mut trace_1_column_20 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_20_offset_0 = *trace_1_column_20.pop_front().unwrap(); + let mut trace_1_column_21 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_21_offset_0 = *trace_1_column_21.pop_front().unwrap(); + let mut trace_1_column_22 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_22_offset_0 = *trace_1_column_22.pop_front().unwrap(); + let mut trace_1_column_23 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_23_offset_0 = *trace_1_column_23.pop_front().unwrap(); + let mut trace_1_column_24 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_24_offset_0 = *trace_1_column_24.pop_front().unwrap(); + let mut trace_1_column_25 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_25_offset_0 = *trace_1_column_25.pop_front().unwrap(); + let mut trace_1_column_26 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_26_offset_0 = *trace_1_column_26.pop_front().unwrap(); + let mut trace_1_column_27 = trace_mask_values.pop_front().unwrap().span(); + let trace_1_column_27_offset_0 = *trace_1_column_27.pop_front().unwrap(); + let mut trace_2_column_28 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_28_offset_0 = *trace_2_column_28.pop_front().unwrap(); + let mut trace_2_column_29 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_29_offset_0 = *trace_2_column_29.pop_front().unwrap(); + let mut trace_2_column_30 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_30_offset_0 = *trace_2_column_30.pop_front().unwrap(); + let mut trace_2_column_31 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_31_offset_0 = *trace_2_column_31.pop_front().unwrap(); + let mut trace_2_column_32 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_32_offset_0 = *trace_2_column_32.pop_front().unwrap(); + let mut trace_2_column_33 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_33_offset_0 = *trace_2_column_33.pop_front().unwrap(); + let mut trace_2_column_34 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_34_offset_0 = *trace_2_column_34.pop_front().unwrap(); + let mut trace_2_column_35 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_35_offset_0 = *trace_2_column_35.pop_front().unwrap(); + let mut trace_2_column_36 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_36_offset_0 = *trace_2_column_36.pop_front().unwrap(); + let mut trace_2_column_37 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_37_offset_0 = *trace_2_column_37.pop_front().unwrap(); + let mut trace_2_column_38 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_38_offset_0 = *trace_2_column_38.pop_front().unwrap(); + let mut trace_2_column_39 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_39_offset_0 = *trace_2_column_39.pop_front().unwrap(); + let mut trace_2_column_40 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_40_offset_0 = *trace_2_column_40.pop_front().unwrap(); + let mut trace_2_column_41 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_41_offset_0 = *trace_2_column_41.pop_front().unwrap(); + let mut trace_2_column_42 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_42_offset_0 = *trace_2_column_42.pop_front().unwrap(); + let mut trace_2_column_43 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_43_offset_0 = *trace_2_column_43.pop_front().unwrap(); + let mut trace_2_column_44 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_44_offset_neg_1 = *trace_2_column_44.pop_front().unwrap(); + let trace_2_column_44_offset_0 = *trace_2_column_44.pop_front().unwrap(); + let trace_2_column_44_offset_claimed_sum = *trace_2_column_44.pop_front().unwrap(); + let mut trace_2_column_45 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_45_offset_neg_1 = *trace_2_column_45.pop_front().unwrap(); + let trace_2_column_45_offset_0 = *trace_2_column_45.pop_front().unwrap(); + let trace_2_column_45_offset_claimed_sum = *trace_2_column_45.pop_front().unwrap(); + let mut trace_2_column_46 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_46_offset_neg_1 = *trace_2_column_46.pop_front().unwrap(); + let trace_2_column_46_offset_0 = *trace_2_column_46.pop_front().unwrap(); + let trace_2_column_46_offset_claimed_sum = *trace_2_column_46.pop_front().unwrap(); + let mut trace_2_column_47 = interaction_mask_values.pop_front().unwrap().span(); + let trace_2_column_47_offset_neg_1 = *trace_2_column_47.pop_front().unwrap(); + let trace_2_column_47_offset_0 = *trace_2_column_47.pop_front().unwrap(); + let trace_2_column_47_offset_claimed_sum = *trace_2_column_47.pop_front().unwrap(); + let intermediate0 = (RangeCheck_7_2_5_alpha0) * (trace_1_column_20_offset_0) + + (RangeCheck_7_2_5_alpha1) * (trace_1_column_21_offset_0) + + (RangeCheck_7_2_5_alpha2) * (trace_1_column_23_offset_0) + - (RangeCheck_7_2_5_z); + + let intermediate1 = (RangeCheck_4_3_alpha0) * (trace_1_column_24_offset_0) + + (RangeCheck_4_3_alpha1) * (trace_1_column_26_offset_0) + - (RangeCheck_4_3_z); + + let intermediate2 = (AddrToId_alpha0) * (trace_1_column_0_offset_0) + + (AddrToId_alpha1) * (trace_1_column_27_offset_0) + - (AddrToId_z); + + let intermediate3 = (IdToValue_alpha0) * (trace_1_column_27_offset_0) + + (IdToValue_alpha1) * (trace_1_column_19_offset_0) + + (IdToValue_alpha2) + * (trace_1_column_20_offset_0 + (trace_1_column_21_offset_0) * (m31(128).into())) + + (IdToValue_alpha3) * (trace_1_column_22_offset_0) + + (IdToValue_alpha4) + * (trace_1_column_23_offset_0 + (trace_1_column_24_offset_0) * (m31(32).into())) + + (IdToValue_alpha5) * (trace_1_column_25_offset_0) + + (IdToValue_alpha6) + * (trace_1_column_26_offset_0 + + (trace_1_column_4_offset_0) * (m31(8).into()) + + (trace_1_column_5_offset_0) * (m31(16).into()) + + (trace_1_column_6_offset_0) * (m31(32).into()) + + (trace_1_column_7_offset_0) * (m31(64).into()) + + (trace_1_column_8_offset_0) * (m31(128).into()) + + (trace_1_column_9_offset_0) * (m31(256).into())) + + (IdToValue_alpha7) + * (trace_1_column_10_offset_0 + + (trace_1_column_11_offset_0) * (m31(2).into()) + + (trace_1_column_12_offset_0) * (m31(4).into()) + + (trace_1_column_13_offset_0) * (m31(8).into()) + + (trace_1_column_14_offset_0) * (m31(16).into()) + + (trace_1_column_15_offset_0) * (m31(32).into()) + + (trace_1_column_16_offset_0) * (m31(64).into()) + + (trace_1_column_17_offset_0) * (m31(128).into()) + + (trace_1_column_18_offset_0) * (m31(256).into())) + - (IdToValue_z); + + let intermediate4 = (VerifyInstruction_alpha0) * (trace_1_column_0_offset_0) + + (VerifyInstruction_alpha1) * (trace_1_column_1_offset_0) + + (VerifyInstruction_alpha2) * (trace_1_column_2_offset_0) + + (VerifyInstruction_alpha3) * (trace_1_column_3_offset_0) + + (VerifyInstruction_alpha4) * (trace_1_column_4_offset_0) + + (VerifyInstruction_alpha5) * (trace_1_column_5_offset_0) + + (VerifyInstruction_alpha6) * (trace_1_column_6_offset_0) + + (VerifyInstruction_alpha7) * (trace_1_column_7_offset_0) + + (VerifyInstruction_alpha8) * (trace_1_column_8_offset_0) + + (VerifyInstruction_alpha9) * (trace_1_column_9_offset_0) + + (VerifyInstruction_alpha10) * (trace_1_column_10_offset_0) + + (VerifyInstruction_alpha11) * (trace_1_column_11_offset_0) + + (VerifyInstruction_alpha12) * (trace_1_column_12_offset_0) + + (VerifyInstruction_alpha13) * (trace_1_column_13_offset_0) + + (VerifyInstruction_alpha14) * (trace_1_column_14_offset_0) + + (VerifyInstruction_alpha15) * (trace_1_column_15_offset_0) + + (VerifyInstruction_alpha16) * (trace_1_column_16_offset_0) + + (VerifyInstruction_alpha17) * (trace_1_column_17_offset_0) + + (VerifyInstruction_alpha18) * (trace_1_column_18_offset_0) + - (VerifyInstruction_z); + + let constraint_0 = trace_1_column_19_offset_0 + + (trace_1_column_20_offset_0) * (m31(512).into()) + - (trace_1_column_1_offset_0); + + let constraint_1 = trace_1_column_21_offset_0 + + (trace_1_column_22_offset_0) * (m31(4).into()) + + (trace_1_column_23_offset_0) * (m31(2048).into()) + - (trace_1_column_2_offset_0); + + let constraint_2 = trace_1_column_24_offset_0 + + (trace_1_column_25_offset_0) * (m31(16).into()) + + (trace_1_column_26_offset_0) * (m31(8192).into()) + - (trace_1_column_3_offset_0); + + let constraint_3 = (QM31Impl::from_partial_evals( + [ + trace_2_column_28_offset_0, trace_2_column_29_offset_0, trace_2_column_30_offset_0, + trace_2_column_31_offset_0, + ], + )) + * (intermediate0) + - (qm31(1, 0, 0, 0)); + + let constraint_4 = (trace_1_column_4_offset_0) * (m31(1).into() - (trace_1_column_4_offset_0)); + + let constraint_5 = (trace_1_column_5_offset_0) * (m31(1).into() - (trace_1_column_5_offset_0)); + + let constraint_6 = (trace_1_column_6_offset_0) * (m31(1).into() - (trace_1_column_6_offset_0)); + + let constraint_7 = (trace_1_column_7_offset_0) * (m31(1).into() - (trace_1_column_7_offset_0)); + + let constraint_8 = (trace_1_column_8_offset_0) * (m31(1).into() - (trace_1_column_8_offset_0)); + + let constraint_9 = (trace_1_column_9_offset_0) * (m31(1).into() - (trace_1_column_9_offset_0)); + + let constraint_10 = (trace_1_column_10_offset_0) + * (m31(1).into() - (trace_1_column_10_offset_0)); + + let constraint_11 = (trace_1_column_11_offset_0) + * (m31(1).into() - (trace_1_column_11_offset_0)); + + let constraint_12 = (trace_1_column_12_offset_0) + * (m31(1).into() - (trace_1_column_12_offset_0)); + + let constraint_13 = (trace_1_column_13_offset_0) + * (m31(1).into() - (trace_1_column_13_offset_0)); + + let constraint_14 = (trace_1_column_14_offset_0) + * (m31(1).into() - (trace_1_column_14_offset_0)); + + let constraint_15 = (trace_1_column_15_offset_0) + * (m31(1).into() - (trace_1_column_15_offset_0)); + + let constraint_16 = (trace_1_column_16_offset_0) + * (m31(1).into() - (trace_1_column_16_offset_0)); + + let constraint_17 = (trace_1_column_17_offset_0) + * (m31(1).into() - (trace_1_column_17_offset_0)); + + let constraint_18 = (trace_1_column_18_offset_0) + * (m31(1).into() - (trace_1_column_18_offset_0)); + + let constraint_19 = (QM31Impl::from_partial_evals( + [ + trace_2_column_32_offset_0, trace_2_column_33_offset_0, trace_2_column_34_offset_0, + trace_2_column_35_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_28_offset_0, trace_2_column_29_offset_0, trace_2_column_30_offset_0, + trace_2_column_31_offset_0, + ], + ))) + * (intermediate1) + - (qm31(1, 0, 0, 0)); + + let constraint_20 = (QM31Impl::from_partial_evals( + [ + trace_2_column_36_offset_0, trace_2_column_37_offset_0, trace_2_column_38_offset_0, + trace_2_column_39_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_32_offset_0, trace_2_column_33_offset_0, trace_2_column_34_offset_0, + trace_2_column_35_offset_0, + ], + ))) + * (intermediate2) + - (qm31(1, 0, 0, 0)); + + let constraint_21 = (QM31Impl::from_partial_evals( + [ + trace_2_column_40_offset_0, trace_2_column_41_offset_0, trace_2_column_42_offset_0, + trace_2_column_43_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_36_offset_0, trace_2_column_37_offset_0, trace_2_column_38_offset_0, + trace_2_column_39_offset_0, + ], + ))) + * (intermediate3) + - (qm31(1, 0, 0, 0)); + + let constraint_22 = (QM31Impl::from_partial_evals( + [ + trace_2_column_44_offset_claimed_sum, trace_2_column_45_offset_claimed_sum, + trace_2_column_46_offset_claimed_sum, trace_2_column_47_offset_claimed_sum, + ], + ) + - (claimed_sum)) + * (preprocessed_is_first); + + let constraint_23 = (QM31Impl::from_partial_evals( + [ + trace_2_column_44_offset_0, trace_2_column_45_offset_0, trace_2_column_46_offset_0, + trace_2_column_47_offset_0, + ], + ) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_44_offset_neg_1, trace_2_column_45_offset_neg_1, + trace_2_column_46_offset_neg_1, trace_2_column_47_offset_neg_1, + ], + ) + - ((total_sum) * (preprocessed_is_first))) + - (QM31Impl::from_partial_evals( + [ + trace_2_column_40_offset_0, trace_2_column_41_offset_0, trace_2_column_42_offset_0, + trace_2_column_43_offset_0, + ], + ))) + * (intermediate4) + - (qm31(2147483646, 0, 0, 0)); + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_0 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_1 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_2 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_3 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_4 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_5 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_6 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_7 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_8 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_9 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_10 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_11 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_12 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_13 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_14 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_15 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_16 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_17 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_18 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_19 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_20 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_21 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_22 * domain_vanish_at_point_inv; + // TODO: Batch `domain_vanish_at_point_inv` multiplication. + sum = sum * random_coeff + constraint_23 * domain_vanish_at_point_inv; +} + diff --git a/stwo_cairo_verifier/crates/cairo_air/src/lib.cairo b/stwo_cairo_verifier/crates/cairo_air/src/lib.cairo new file mode 100644 index 00000000..4d4f1196 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/lib.cairo @@ -0,0 +1,714 @@ +use components::CairoComponent; +use components::addr_to_id::{ + ClaimImpl as AddrToIdClaimImpl, InteractionClaimImpl as AddrToIdInteractionClaimImpl, +}; +use components::genericopcode::{ + ClaimImpl as GenericOpcodeClaimImpl, InteractionClaimImpl as GenericOpcodeInteractionClaimImpl, +}; +use components::id_to_f252::{ + ClaimImpl as IdToF252ClaimImpl, InteractionClaimImpl as IdToF252InteractionClaimImpl, +}; +use components::range_check::{ + ClaimImpl as RangeCheckClaimImpl, InteractionClaimImpl as RangeCheckInteractionClaimImpl, +}; +use components::ret_opcode::{ + ClaimImpl as RetOpcodeClaimImpl, InteractionClaimImpl as RetOpcodeInteractionClaimImpl, +}; +use components::verify_instruction::{ + ClaimImpl as VerifyInstructionClaimImpl, + InteractionClaimImpl as VerifyInstructionInteractionClaimImpl, +}; +use core::num::traits::Zero; +use stwo_constraint_framework::{ + LookupElements, LookupElementsImpl, PreprocessedColumn, PreprocessedMaskValues, + PreprocessedMaskValuesImpl, +}; +use stwo_verifier_core::channel::{Channel, ChannelImpl}; +use stwo_verifier_core::circle::CirclePoint; +use stwo_verifier_core::fields::Invertible; +use stwo_verifier_core::fields::m31::M31; +use stwo_verifier_core::fields::qm31::{QM31, QM31Zero}; +use stwo_verifier_core::fri::FriConfig; +use stwo_verifier_core::pcs::PcsConfig; +use stwo_verifier_core::pcs::verifier::CommitmentSchemeVerifierImpl; +use stwo_verifier_core::utils::ArrayImpl; +use stwo_verifier_core::verifier::Air; +use stwo_verifier_core::verifier::{StarkProof, VerificationError, verify}; +use stwo_verifier_core::{ColumnArray, ColumnSpan, TreeArray}; + +pub mod components; +pub mod utils; + +const IS_FIRST_LOG_SIZES: [u32; 7] = [18, 4, 14, 19, 7, 6, 5]; + +// (Address, Id, Value) +pub type PublicMemory = Array<(u32, u32, [u32; 8])>; + +type VmElements = LookupElements<3>; + +type VerifyInstructionElements = LookupElements<29>; + +type AddrToIdElements = LookupElements<2>; + +type IdToValueElements = LookupElements<29>; + +type RangeCheck19BitElements = LookupElements<1>; + +type RangeCheck9Bit9BitElements = LookupElements<2>; + +type RangeCheck7Bit2Bit5BitElements = LookupElements<3>; + +type RangeCheck4Bit3BitElements = LookupElements<2>; + +#[derive(Drop, Serde)] +pub struct CairoProof { + pub claim: CairoClaim, + pub interaction_claim: CairoInteractionClaim, + pub stark_proof: StarkProof, +} + +pub fn verify_cairo(proof: CairoProof) -> Result<(), CairoVerificationError> { + let CairoProof { claim, interaction_claim, stark_proof } = proof; + + // Verify. + let config = PcsConfig { + pow_bits: 5, + fri_config: FriConfig { + log_blowup_factor: 0, log_last_layer_degree_bound: 1, n_queries: 3, + }, + }; + let mut channel = ChannelImpl::new(0); + let mut commitment_scheme = CommitmentSchemeVerifierImpl::new(config); + + let log_sizes = claim.log_sizes(); + + println!("Made here 0"); + + // Preproccessed trace. + commitment_scheme + .commit(*stark_proof.commitment_scheme_proof.commitments[0], *log_sizes[0], ref channel); + claim.mix_into(ref channel); + println!("Made here 1"); + commitment_scheme + .commit(*stark_proof.commitment_scheme_proof.commitments[1], *log_sizes[1], ref channel); + let interaction_elements = CairoInteractionElementsImpl::draw(ref channel); + println!("Made here 2"); + if lookup_sum(@claim, @interaction_elements, @interaction_claim).is_non_zero() { + return Result::Err(CairoVerificationError::InvalidLogupSum); + } + println!("Made here 3"); + interaction_claim.mix_into(ref channel); + commitment_scheme + .commit(*stark_proof.commitment_scheme_proof.commitments[2], *log_sizes[2], ref channel); + + let cairo_air = CairoAirNewImpl::new(@claim, @interaction_elements, @interaction_claim); + + if let Result::Err(err) = verify(cairo_air, ref channel, stark_proof, ref commitment_scheme) { + return Result::Err(CairoVerificationError::Stark(err)); + } + + Result::Ok(()) +} + +pub fn lookup_sum( + claim: @CairoClaim, + elements: @CairoInteractionElements, + interaction_claim: @CairoInteractionClaim, +) -> QM31 { + let mut sum = claim.public_data.logup_sum(elements); + + // If the table is padded, take the sum of the non-padded values. + // Otherwise, the claimed_sum is the total_sum. + // TODO(Ohad): hide this logic behind `InteractionClaim`, and only sum here. + sum += interaction_claim.opcodes.sum(); + let (claimed_sum, _) = (*interaction_claim.verify_instruction.claimed_sum).unwrap(); + sum += claimed_sum; + sum += *interaction_claim.range_check_19.claimed_sum; + sum += *interaction_claim.range_check_9_9.claimed_sum; + sum += *interaction_claim.range_check_7_2_5.claimed_sum; + sum += *interaction_claim.range_check_4_3.claimed_sum; + sum += *interaction_claim.memory_addr_to_id.claimed_sum; + sum += *interaction_claim.memory_id_to_value.big_claimed_sum; + sum += *interaction_claim.memory_id_to_value.small_claimed_sum; + sum +} + +#[derive(Drop)] +struct CairoInteractionElements { + pub opcodes: VmElements, + pub verify_instruction: VerifyInstructionElements, + pub memory_addr_to_id: AddrToIdElements, + pub memory_id_to_value: IdToValueElements, + pub range_check_19: RangeCheck19BitElements, + pub range_check_9_9: RangeCheck9Bit9BitElements, + pub range_check_7_2_5: RangeCheck7Bit2Bit5BitElements, + pub range_check_4_3: RangeCheck4Bit3BitElements, +} + +#[generate_trait] +impl CairoInteractionElementsImpl of CairoInteractionElementsTrait { + fn draw(ref channel: Channel) -> CairoInteractionElements { + CairoInteractionElements { + opcodes: LookupElementsImpl::draw(ref channel), + verify_instruction: LookupElementsImpl::draw(ref channel), + memory_addr_to_id: LookupElementsImpl::draw(ref channel), + memory_id_to_value: LookupElementsImpl::draw(ref channel), + range_check_19: LookupElementsImpl::draw(ref channel), + range_check_9_9: LookupElementsImpl::draw(ref channel), + range_check_7_2_5: LookupElementsImpl::draw(ref channel), + range_check_4_3: LookupElementsImpl::draw(ref channel), + } + } +} + +#[derive(Drop, Serde)] +pub struct CairoClaim { + pub public_data: PublicData, + pub opcodes: OpcodeClaim, + pub memory_addr_to_id: components::addr_to_id::Claim, + pub memory_id_to_value: components::id_to_f252::Claim, + pub verify_instruction: components::verify_instruction::Claim, + pub range_check_19: components::range_check::Claim, + pub range_check_9_9: components::range_check::Claim, + pub range_check_7_2_5: components::range_check::Claim, + pub range_check_4_3: components::range_check::Claim, +} + +#[generate_trait] +impl CairoClaimImpl of CairoClaimTrait { + fn log_sizes(self: @CairoClaim) -> TreeArray> { + let mut aggregated_log_sizes = utils::tree_array_concat_cols( + array![ + self.opcodes.log_sizes(), + self.verify_instruction.log_sizes(), + self.memory_addr_to_id.log_sizes(), + self.memory_id_to_value.log_sizes(), + self.range_check_19.log_sizes(), + self.range_check_9_9.log_sizes(), + self.range_check_7_2_5.log_sizes(), + self.range_check_4_3.log_sizes(), + ], + ); + // Overwrite the preprocessed trace log sizes. + let _invalid_preprocessed_trace_log_sizes = aggregated_log_sizes.pop_front(); + let preprocessed_trace_log_sizes = IS_FIRST_LOG_SIZES.span(); + let trace_log_sizes = aggregated_log_sizes.pop_front().unwrap(); + let interaction_log_sizes = aggregated_log_sizes.pop_front().unwrap(); + assert!(aggregated_log_sizes.is_empty()); + array![preprocessed_trace_log_sizes, trace_log_sizes, interaction_log_sizes] + } + + fn mix_into(self: @CairoClaim, ref channel: Channel) { + self.opcodes.mix_into(ref channel); + self.memory_addr_to_id.mix_into(ref channel); + self.memory_id_to_value.mix_into(ref channel); + } +} + +#[derive(Drop, Serde)] +pub struct CairoInteractionClaim { + pub opcodes: OpcodeInteractionClaim, + pub verify_instruction: components::verify_instruction::InteractionClaim, + pub memory_addr_to_id: components::addr_to_id::InteractionClaim, + pub memory_id_to_value: components::id_to_f252::InteractionClaim, + pub range_check_19: components::range_check::InteractionClaim, + pub range_check_9_9: components::range_check::InteractionClaim, + pub range_check_7_2_5: components::range_check::InteractionClaim, + pub range_check_4_3: components::range_check::InteractionClaim, +} + +#[generate_trait] +impl CairoInteractionClaimImpl of CairoInteractionClaimTrace { + fn mix_into(self: @CairoInteractionClaim, ref channel: Channel) { + self.opcodes.mix_into(ref channel); + self.memory_addr_to_id.mix_into(ref channel); + self.memory_id_to_value.mix_into(ref channel); + } +} + +#[derive(Drop, Serde)] +pub struct OpcodeInteractionClaim { + generic: Array, + ret: Array, +} + +#[generate_trait] +impl OpcodeInteractionClaimImpl of OpcodeInteractionClaimTrait { + fn mix_into(self: @OpcodeInteractionClaim, ref channel: Channel) { + for interaction_claim in self.generic.span() { + interaction_claim.mix_into(ref channel); + }; + + for interaction_claim in self.ret.span() { + interaction_claim.mix_into(ref channel); + }; + } + + fn sum(self: @OpcodeInteractionClaim) -> QM31 { + let mut sum = QM31Zero::zero(); + + for interaction_claim in self.generic.span() { + sum += match interaction_claim.claimed_sum { + Option::Some((claimed_sum, _)) => *claimed_sum, + Option::None => *interaction_claim.total_sum, + }; + }; + + for interaction_claim in self.ret.span() { + sum += match interaction_claim.claimed_sum { + Option::Some((claimed_sum, _)) => *claimed_sum, + Option::None => *interaction_claim.total_sum, + }; + }; + + sum + } +} + +#[derive(Drop, Serde)] +pub struct PublicData { + pub public_memory: PublicMemory, + pub initial_state: CasmState, + pub final_state: CasmState, +} + +#[generate_trait] +impl PublicDataImpl of PublicDataTrait { + fn logup_sum(self: @PublicData, lookup_elements: @CairoInteractionElements) -> QM31 { + // TODO(Ohad): Optimized inverse. + let mut sum = QM31Zero::zero(); + + for entry in self.public_memory.span() { + let (addr, id, val) = *entry; + + let addr_m31 = addr.try_into().unwrap(); + let id_m31 = id.try_into().unwrap(); + let addr_to_id = lookup_elements + .memory_addr_to_id + .combine([addr_m31, id_m31]) + .inverse(); + + let mut elements = array![id_m31]; + elements.append_span(utils::split_f252(val).span()); + let id_to_value = lookup_elements + .memory_id_to_value + .combine((*elements.span().try_into().unwrap()).unbox()) + .inverse(); + + sum += addr_to_id + id_to_value; + }; + + // Yield initial state and use the final. + let CasmState { pc, ap, fp } = *self.final_state; + sum += lookup_elements.opcodes.combine([pc, ap, fp]).inverse(); + let CasmState { pc, ap, fp } = *self.initial_state; + sum -= lookup_elements.opcodes.combine([pc, ap, fp]).inverse(); + + sum + } +} + +#[derive(Drop, Serde, Copy)] +pub struct CasmState { + pub pc: M31, + pub ap: M31, + pub fp: M31, +} + +#[derive(Drop, Serde)] +pub struct OpcodeClaim { + ret: Array, + generic: Array, +} + +#[generate_trait] +impl OpcodeClaimImpl of OpcodeClaimTrait { + fn mix_into(self: @OpcodeClaim, ref channel: Channel) { + for ret_opcode_claim in self.ret.span() { + ret_opcode_claim.mix_into(ref channel); + }; + + for generic_opcode_claim in self.generic.span() { + generic_opcode_claim.mix_into(ref channel); + }; + } + + fn log_sizes(self: @OpcodeClaim) -> TreeArray> { + let mut log_sizes = array![]; + + for ret_opcode_claim in self.ret.span() { + log_sizes.append(ret_opcode_claim.log_sizes()); + }; + + for generic_opcode_claim in self.generic.span() { + log_sizes.append(generic_opcode_claim.log_sizes()); + }; + + utils::tree_array_concat_cols(log_sizes) + } +} + +#[derive(Drop, Debug)] +pub enum CairoVerificationError { + InvalidLogupSum, + Stark: VerificationError, +} + +#[derive(Drop)] +pub struct CairoAir { + opcodes: OpcodeComponents, + verify_instruction: components::verify_instruction::Component, + memory_addr_to_id: components::addr_to_id::Component, + memory_id_to_value: ( + components::id_to_f252::BigComponent, components::id_to_f252::SmallComponent, + ), + range_check_19: components::range_check::Rc19BitComponent, + range_check_9_9: components::range_check::Rc9Bit9BitComponent, + range_check_7_2_5: components::range_check::Rc7Bit2Bit5BitComponent, + range_check_4_3: components::range_check::Rc4Bit3BitComponent, + // ... + preprocessed_columns: Array, +} + +#[generate_trait] +impl CairoAirNewImpl of CairoAirNewTrait { + fn new( + cairo_claim: @CairoClaim, + interaction_elements: @CairoInteractionElements, + interaction_claim: @CairoInteractionClaim, + ) -> CairoAir { + let mut preprocessed_columns = array![]; + + // TODO: This could be a constant. + for is_first_log_size in IS_FIRST_LOG_SIZES.span() { + preprocessed_columns.append(PreprocessedColumn::IsFirst(*is_first_log_size)); + }; + + let opcode_components = OpcodeComponentsImpl::new( + cairo_claim.opcodes, interaction_elements, interaction_claim.opcodes, + ); + + let verifyinstruction_component = components::verify_instruction::Component { + claim: *cairo_claim.verify_instruction, + interaction_claim: *interaction_claim.verify_instruction, + memoryaddresstoid_lookup_elements: interaction_elements.memory_addr_to_id.clone(), + memoryidtobig_lookup_elements: interaction_elements.memory_id_to_value.clone(), + rangecheck_4_3_lookup_elements: interaction_elements.range_check_4_3.clone(), + range_check_7_2_5_lookup_elements: interaction_elements.range_check_7_2_5.clone(), + verifyinstruction_lookup_elements: interaction_elements.verify_instruction.clone(), + }; + + let memory_addr_to_id_component = components::addr_to_id::Component { + claim: *cairo_claim.memory_addr_to_id, + interaction_claim: *interaction_claim.memory_addr_to_id, + lookup_elements: interaction_elements.memory_addr_to_id.clone(), + }; + + let memory_id_to_value_component = components::id_to_f252::BigComponent { + log_n_rows: *cairo_claim.memory_id_to_value.big_log_size, + interaction_claim: *interaction_claim.memory_id_to_value, + lookup_elements: interaction_elements.memory_id_to_value.clone(), + range_9_9_lookup_elements: interaction_elements.range_check_9_9.clone(), + }; + + let small_memory_id_to_value_component = components::id_to_f252::SmallComponent { + log_n_rows: *cairo_claim.memory_id_to_value.small_log_size, + interaction_claim: *interaction_claim.memory_id_to_value, + lookup_elements: interaction_elements.memory_id_to_value.clone(), + range_9_9_lookup_elements: interaction_elements.range_check_9_9.clone(), + }; + + let range_check_19_component = components::range_check::Rc19BitComponent { + lookup_elements: interaction_elements.range_check_19.clone(), + interaction_claim: interaction_claim.range_check_19.clone(), + }; + + let range_check_9_9_component = components::range_check::Rc9Bit9BitComponent { + lookup_elements: interaction_elements.range_check_9_9.clone(), + interaction_claim: interaction_claim.range_check_9_9.clone(), + }; + + let range_check_7_2_5_component = components::range_check::Rc7Bit2Bit5BitComponent { + lookup_elements: interaction_elements.range_check_7_2_5.clone(), + interaction_claim: interaction_claim.range_check_7_2_5.clone(), + }; + + let range_check_4_3_component = components::range_check::Rc4Bit3BitComponent { + lookup_elements: interaction_elements.range_check_4_3.clone(), + interaction_claim: interaction_claim.range_check_4_3.clone(), + }; + + CairoAir { + opcodes: opcode_components, + verify_instruction: verifyinstruction_component, + memory_addr_to_id: memory_addr_to_id_component, + memory_id_to_value: (memory_id_to_value_component, small_memory_id_to_value_component), + range_check_19: range_check_19_component, + range_check_9_9: range_check_9_9_component, + range_check_7_2_5: range_check_7_2_5_component, + range_check_4_3: range_check_4_3_component, + preprocessed_columns, + } + } +} + +impl CairoAirImpl of Air { + fn composition_log_degree_bound(self: @CairoAir) -> u32 { + let composition_log_degree_bound = self.opcodes.max_constraint_log_degree_bound(); + // TODO: ... + composition_log_degree_bound + } + + fn mask_points( + self: @CairoAir, point: CirclePoint, + ) -> TreeArray>>> { + let mut preprocessed_trace_mask_points = ArrayImpl::new_repeated( + self.preprocessed_columns.len(), array![point], + ); + let mut trace_mask_points = array![]; + let mut interaction_trace_mask_points = array![]; + self.opcodes.mask_points(ref trace_mask_points, ref interaction_trace_mask_points, point); + self + .verify_instruction + .mask_points(ref trace_mask_points, ref interaction_trace_mask_points, point); + self + .memory_addr_to_id + .mask_points(ref trace_mask_points, ref interaction_trace_mask_points, point); + let (memory_id_to_value_big, memory_id_to_value_small) = self.memory_id_to_value; + memory_id_to_value_small + .mask_points(ref trace_mask_points, ref interaction_trace_mask_points, point); + memory_id_to_value_big + .mask_points(ref trace_mask_points, ref interaction_trace_mask_points, point); + self + .range_check_19 + .mask_points(ref trace_mask_points, ref interaction_trace_mask_points, point); + self + .range_check_9_9 + .mask_points(ref trace_mask_points, ref interaction_trace_mask_points, point); + self + .range_check_7_2_5 + .mask_points(ref trace_mask_points, ref interaction_trace_mask_points, point); + self + .range_check_4_3 + .mask_points(ref trace_mask_points, ref interaction_trace_mask_points, point); + array![preprocessed_trace_mask_points, trace_mask_points, interaction_trace_mask_points] + } + + fn eval_composition_polynomial_at_point( + self: @CairoAir, + point: CirclePoint, + mask_values: @TreeArray>>, + random_coeff: QM31, + ) -> QM31 { + println!("evaluating composition"); + + let mut sum = QM31Zero::zero(); + let mut preprocessed_mask_values = PreprocessedMaskValuesImpl::new( + mask_values[0].span(), self.preprocessed_columns.span(), + ); + let mut trace_mask_values = mask_values[1].span(); + let mut interaction_trace_mask_values = mask_values[2].span(); + + self + .opcodes + .evaluate_constraints_at_point( + ref sum, + ref preprocessed_mask_values, + ref trace_mask_values, + ref interaction_trace_mask_values, + random_coeff, + point, + ); + self + .verify_instruction + .evaluate_constraints_at_point( + ref sum, + ref preprocessed_mask_values, + ref trace_mask_values, + ref interaction_trace_mask_values, + random_coeff, + point, + ); + self + .memory_addr_to_id + .evaluate_constraints_at_point( + ref sum, + ref preprocessed_mask_values, + ref trace_mask_values, + ref interaction_trace_mask_values, + random_coeff, + point, + ); + let (memory_id_to_value_big, memory_id_to_value_small) = self.memory_id_to_value; + memory_id_to_value_small + .evaluate_constraints_at_point( + ref sum, + ref preprocessed_mask_values, + ref trace_mask_values, + ref interaction_trace_mask_values, + random_coeff, + point, + ); + + memory_id_to_value_big + .evaluate_constraints_at_point( + ref sum, + ref preprocessed_mask_values, + ref trace_mask_values, + ref interaction_trace_mask_values, + random_coeff, + point, + ); + self + .range_check_19 + .evaluate_constraints_at_point( + ref sum, + ref preprocessed_mask_values, + ref trace_mask_values, + ref interaction_trace_mask_values, + random_coeff, + point, + ); + self + .range_check_9_9 + .evaluate_constraints_at_point( + ref sum, + ref preprocessed_mask_values, + ref trace_mask_values, + ref interaction_trace_mask_values, + random_coeff, + point, + ); + self + .range_check_7_2_5 + .evaluate_constraints_at_point( + ref sum, + ref preprocessed_mask_values, + ref trace_mask_values, + ref interaction_trace_mask_values, + random_coeff, + point, + ); + self + .range_check_4_3 + .evaluate_constraints_at_point( + ref sum, + ref preprocessed_mask_values, + ref trace_mask_values, + ref interaction_trace_mask_values, + random_coeff, + point, + ); + + sum + } +} + +#[derive(Drop)] +pub struct OpcodeComponents { + generic: Array, + ret: Array, +} + +#[generate_trait] +impl OpcodeComponentsImpl of OpcodeComponentsTrait { + fn new( + claim: @OpcodeClaim, + interaction_elements: @CairoInteractionElements, + interaction_claim: @OpcodeInteractionClaim, + ) -> OpcodeComponents { + // TODO: Handle dynamic number of components. + assert!(claim.generic.len() == 1); + assert!(claim.ret.len() == 1); + assert!(interaction_claim.generic.len() == 1); + assert!(interaction_claim.ret.len() == 1); + let generic_opcode_component = components::genericopcode::Component { + claim: *claim.generic[0], + interaction_claim: *interaction_claim.generic[0], + memoryaddresstoid_lookup_elements: interaction_elements.memory_addr_to_id.clone(), + memoryidtobig_lookup_elements: interaction_elements.memory_id_to_value.clone(), + verifyinstruction_lookup_elements: interaction_elements.verify_instruction.clone(), + opcodes_lookup_elements: interaction_elements.opcodes.clone(), + range_check_19_lookup_elements: interaction_elements.range_check_19.clone(), + range_check_9_9_lookup_elements: interaction_elements.range_check_9_9.clone(), + }; + let ret_opcode_component = components::ret_opcode::Component { + claim: *claim.ret[0], + interaction_claim: *interaction_claim.ret[0], + memoryaddresstoid_lookup_elements: interaction_elements.memory_addr_to_id.clone(), + memoryidtobig_lookup_elements: interaction_elements.memory_id_to_value.clone(), + verifyinstruction_lookup_elements: interaction_elements.verify_instruction.clone(), + opcodes_lookup_elements: interaction_elements.opcodes.clone(), + }; + OpcodeComponents { + generic: array![generic_opcode_component], ret: array![ret_opcode_component], + } + } + + fn mask_points( + self: @OpcodeComponents, + ref trace_mask_points: Array>>, + ref interaction_trace_mask_points: Array>>, + point: CirclePoint, + ) { + for component in self.generic.span() { + component.mask_points(ref trace_mask_points, ref interaction_trace_mask_points, point); + }; + + for component in self.ret.span() { + component.mask_points(ref trace_mask_points, ref interaction_trace_mask_points, point); + }; + } + + fn max_constraint_log_degree_bound(self: @OpcodeComponents) -> u32 { + let mut max_degree = 0; + + for component in self.generic.span() { + max_degree = core::cmp::max(max_degree, component.max_constraint_log_degree_bound()); + }; + + for component in self.ret.span() { + max_degree = core::cmp::max(max_degree, component.max_constraint_log_degree_bound()); + }; + + max_degree + } + + fn evaluate_constraints_at_point( + self: @OpcodeComponents, + ref sum: QM31, + ref preprocessed_mask_values: PreprocessedMaskValues, + ref trace_mask_values: ColumnSpan>, + ref interaction_trace_mask_values: ColumnSpan>, + random_coeff: QM31, + point: CirclePoint, + ) { + println!("inside opcodes"); + + for component in self.generic.span() { + component + .evaluate_constraints_at_point( + ref sum, + ref preprocessed_mask_values, + ref trace_mask_values, + ref interaction_trace_mask_values, + random_coeff, + point, + ); + println!("trying generic"); + }; + + for component in self.ret.span() { + component + .evaluate_constraints_at_point( + ref sum, + ref preprocessed_mask_values, + ref trace_mask_values, + ref interaction_trace_mask_values, + random_coeff, + point, + ); + println!("trying ret"); + }; + } +} diff --git a/stwo_cairo_verifier/crates/cairo_air/src/utils.cairo b/stwo_cairo_verifier/crates/cairo_air/src/utils.cairo new file mode 100644 index 00000000..346f8045 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/src/utils.cairo @@ -0,0 +1,138 @@ +use core::array::ToSpanTrait; +use core::iter::{IntoIterator, Iterator}; +use core::num::traits::WrappingMul; +use core::traits::DivRem; +use stwo_verifier_core::TreeArray; +use stwo_verifier_core::fields::m31::M31; +use stwo_verifier_core::utils::pow2; +use super::components::id_to_f252; + + +#[generate_trait] +pub impl U32Impl of U32ExTrait { + /// Returns the smallest power of two greater than or equal to self. + /// + /// Panics if the next power of two is greater than the type’s maximum value. + fn next_power_of_two(self: u32) -> u32 { + let mut next_power_of_two = 1; + while next_power_of_two < self { + next_power_of_two *= 2; + }; + next_power_of_two + } + + /// Returns the base 2 logarithm of the number, rounded down. + fn ilog2(self: u32) -> u32 { + let self: u64 = self.into(); + let mut res = 0; + let mut next_power_of_two = 1; + while next_power_of_two < self { + next_power_of_two *= 2; + res += 1; + }; + res + } +} + +#[generate_trait] +pub impl UsizeImpl of UsizeExTrait { + /// Calculates the quotient of `self` and `other`, rounding the result towards positive + /// infinity. + /// + /// # Panics + /// + /// This function will panic if `other` is zero. + fn div_ceil(self: usize, other: usize) -> usize { + let (d, r) = DivRem::div_rem(self, other.try_into().unwrap()); + if r > 0 { + d + 1 + } else { + d + } + } +} + +pub fn tree_array_concat_cols(tree_array: Array>>) -> TreeArray> { + let mut tree0 = array![]; + let mut tree1 = array![]; + let mut tree2 = array![]; + + for curr_tree in tree_array.span() { + // TODO: Instead of changing this to make it generic just refactor so the + // whole function can be removed. + assert!(curr_tree.len() <= 3); + + if curr_tree.len() > 0 { + tree0.append_span(*curr_tree[0]); + } + if curr_tree.len() > 1 { + tree1.append_span(*curr_tree[1]); + } + if curr_tree.len() > 2 { + tree2.append_span(*curr_tree[2]); + } + }; + + array![tree0.span(), tree1.span(), tree2.span()] +} + +/// Splits a 252 bit dense representation into felts, each with `N_BITS_PER_FELT` bits. +pub fn split_f252(x: [u32; 8]) -> [M31; id_to_f252::N_M31_IN_FELT252] { + let mask = pow2(id_to_f252::N_BITS_PER_FELT) - 1; + let segments: [u32; id_to_f252::N_M31_IN_FELT252] = split(x, mask); + let mut m31_segments = array![]; + + for segment in segments.span() { + m31_segments.append((*segment).try_into().unwrap()); + }; + + (*m31_segments.span().try_into().unwrap()).unbox() +} + + +/// Splits a 32N bit dense representation into felts, each with N_BITS_PER_FELT bits. +/// +/// Parameters: +/// - `N`: the number of 32-bit words in the input. +/// - `M`: the number of felts in the output. +/// - `x`: the input dense representation. +/// - `mask`: (1 << N_BITS_PER_FELT) - 1. +// TODO: Why is the mask passed? +fn split< + const N: usize, + const M: usize, + impl FixedArrayToSpan: ToSpanTrait<[u32; N], u32>, + impl SpanTryIntoFixedArray: TryInto, @Box<[u32; M]>>, +>( + x: [u32; N], mask: u32, +) -> [u32; M] { + let mut res = array![]; + let mut n_bits_in_word = 32; + let mut word_iter = FixedArrayToSpan::span(@x).into_iter(); + let mut word = *word_iter.next().unwrap_or(@0); + + for _ in 0..M { + if n_bits_in_word > id_to_f252::N_BITS_PER_FELT { + res.append(word & mask); + word /= pow2(id_to_f252::N_BITS_PER_FELT); + n_bits_in_word -= id_to_f252::N_BITS_PER_FELT; + continue; + }; + + let mut segment = word; + // Fetch next word. + word = *word_iter.next().unwrap_or(@0); + + // If we need more bits to fill, take from next word. + if n_bits_in_word < id_to_f252::N_BITS_PER_FELT { + segment = segment | ((WrappingMul::wrapping_mul(word, pow2(n_bits_in_word))) & mask); + word /= pow2(id_to_f252::N_BITS_PER_FELT - n_bits_in_word); + } + + res.append(segment); + + n_bits_in_word += 32 - id_to_f252::N_BITS_PER_FELT; + }; + + (*SpanTryIntoFixedArray::try_into(res.span()).unwrap()).unbox() +} diff --git a/stwo_cairo_verifier/crates/cairo_air/tests/verify.cairo b/stwo_cairo_verifier/crates/cairo_air/tests/verify.cairo new file mode 100644 index 00000000..f8ae2c65 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/tests/verify.cairo @@ -0,0 +1,21 @@ +use stwo_verifier_core::channel::ChannelImpl; +use stwo_verifier_core::circle::{CirclePointIndexImpl, CirclePointQM31AddCirclePointM31Impl}; +use stwo_verifier_core::fields::qm31::{QM31Impl, QM31One}; +use stwo_verifier_core::fri::FriConfig; +use stwo_verifier_core::pcs::PcsConfig; +use stwo_verifier_core::pcs::verifier::CommitmentSchemeVerifierImpl; +use stwo_verifier_core::utils::ArrayImpl; +use stwo_verifier_core::verifier::verify; + +mod basic_with_blowup_2_proof; + +#[test] +#[available_gas(100000000000)] +#[ignore] +fn test_proof_with_blowup_2() { + let proof = basic_with_blowup_2_proof::proof(); + + if let Result::Err(err) = stwo_cairo_air::verify_cairo(proof) { + panic!("Verification failed: {:?}", err); + } +} diff --git a/stwo_cairo_verifier/crates/cairo_air/tests/verify/basic_with_blowup_2_proof.cairo b/stwo_cairo_verifier/crates/cairo_air/tests/verify/basic_with_blowup_2_proof.cairo new file mode 100644 index 00000000..4a29ea85 --- /dev/null +++ b/stwo_cairo_verifier/crates/cairo_air/tests/verify/basic_with_blowup_2_proof.cairo @@ -0,0 +1,20503 @@ +use stwo_cairo_air::CairoProof; + +pub fn proof() -> CairoProof { + let mut proof_data = array![ + 21, + 0, + 0, + 2147450880, + 1208385537, + 0, + 0, + 0, + 0, + 0, + 0, + 1, + 0, + 2147450880, + 1208385537, + 0, + 0, + 0, + 0, + 0, + 0, + 2, + 1073741824, + 4294967295, + 4294967295, + 4294967295, + 4294967295, + 0, + 0, + 0, + 0, + 3, + 1, + 2147450918, + 1208385537, + 0, + 0, + 0, + 0, + 0, + 0, + 4, + 2, + 1, + 0, + 0, + 0, + 0, + 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a/stwo_cairo_verifier/crates/constraint_framework/Scarb.toml b/stwo_cairo_verifier/crates/constraint_framework/Scarb.toml new file mode 100644 index 00000000..30dc3179 --- /dev/null +++ b/stwo_cairo_verifier/crates/constraint_framework/Scarb.toml @@ -0,0 +1,16 @@ +[package] +name = "stwo_constraint_framework" +version = "0.1.0" +edition = "2024_07" + +[lib] +casm = true + +[tool.fmt] +sort-module-level-items = true + +[dependencies] +stwo_verifier_core = { path = "../verifier_core" } + +[dev-dependencies] +cairo_test = "2.9.2" diff --git a/stwo_cairo_verifier/crates/constraint_framework/src/lib.cairo b/stwo_cairo_verifier/crates/constraint_framework/src/lib.cairo new file mode 100644 index 00000000..061713a7 --- /dev/null +++ b/stwo_cairo_verifier/crates/constraint_framework/src/lib.cairo @@ -0,0 +1,134 @@ +use core::dict::{Felt252Dict, Felt252DictTrait}; +use core::nullable::{Nullable, NullableTrait}; +use stwo_verifier_core::channel::{Channel, ChannelImpl}; +use stwo_verifier_core::fields::m31::M31; +use stwo_verifier_core::fields::qm31::{QM31, QM31Impl, QM31One, QM31Zero}; + +/// Represents the value of the prefix sum column at some index. +/// Should be used to eliminate padded rows for the logup sum. +// Copied from: +pub type ClaimedPrefixSum = (QM31, usize); + +#[derive(Drop, Clone)] +pub struct LookupElements { + pub z: QM31, + pub alpha: QM31, + pub alpha_powers: Array, +} + +#[generate_trait] +pub impl LookupElementsImpl of LookupElementsTrait { + fn draw(ref channel: Channel) -> LookupElements { + assert!(N != 0); + let [z, alpha]: [QM31; 2] = (*channel.draw_felts(2).span().try_into().unwrap()).unbox(); + + let mut acc = QM31One::one(); + let mut alpha_powers = array![acc]; + + for _ in 1..N { + acc *= alpha; + alpha_powers.append(acc); + }; + + LookupElements { z, alpha, alpha_powers } + } + + fn combine>( + self: @LookupElements, values: [M31; N], + ) -> QM31 { + let mut alpha_powers = self.alpha_powers.span(); + let mut values_span = IntoSpan::span(@values); + let mut sum = -*self.z; + + while let (Option::Some(alpha), Option::Some(value)) = + (alpha_powers.pop_front(), values_span.pop_front()) { + sum += (*alpha).mul_m31(*value); + }; + + sum + } +} + +#[derive(Destruct)] +pub struct PreprocessedMaskValues { + pub values: Felt252Dict>, +} + +#[generate_trait] +pub impl PreprocessedMaskValuesImpl of PreprocessedMaskValuesTrait { + fn new( + mut preprocessed_mask_values: Span>, + preprocessed_columns: Span, + ) -> PreprocessedMaskValues { + let mut values = Default::default(); + + for preprocessed_column in preprocessed_columns { + let column_mask_values = preprocessed_mask_values.pop_front().unwrap().span(); + let [mask_value]: [QM31; 1] = (*column_mask_values.try_into().unwrap()).unbox(); + values + .insert( + PreprocessedColumnKey::encode(preprocessed_column), + NullableTrait::new(mask_value), + ); + }; + + assert!(preprocessed_mask_values.is_empty()); + + PreprocessedMaskValues { values } + } + + fn get(ref self: PreprocessedMaskValues, preprocessed_column: PreprocessedColumn) -> QM31 { + self.values.get(PreprocessedColumnKey::encode(@preprocessed_column)).deref() + } +} + +#[derive(Debug, Default, Drop)] +enum PreprocessedColumnsAllocationMode { + #[default] + Dynamic, + Static, +} + +#[derive(Drop, Debug, Copy)] +pub enum PreprocessedColumn { + /// Symbolic representation of xor lookup table of the form: `(elem_bits, expand_bits, term)`. + /// Where term is `{ 0 = left operand, 1 = right operand, 2 = xor result }`. + XorTable: (u32, u32, usize), + /// Stores the log size of the column. + IsFirst: u32, + Plonk: usize, +} + +/// An encoding of a [`PreprocessedColumn`] to index into [`Felt252Dict`]. +#[generate_trait] +pub impl PreprocessedColumnKey of PreprocessedColumnKeyTrait { + fn encode(key: @PreprocessedColumn) -> felt252 { + const FELT252_2_POW_32: felt252 = 0x100000000; + // TODO: Is there something like Rust's `core::mem::discriminant` in Cairo? + const XOR_TABLE_DISCRIMINANT: felt252 = 0; + const IS_FIRST_TABLE_DISCRIMINANT: felt252 = 1; + const PLONK_TABLE_DISCRIMINANT: felt252 = 2; + + match key { + PreprocessedColumn::XorTable(( + elem_bits, expand_bits, term, + )) => { + let mut res = (*term).into(); + res = res * FELT252_2_POW_32 + (*expand_bits).into(); + res = res * FELT252_2_POW_32 + (*elem_bits).into(); + res = res * FELT252_2_POW_32 + XOR_TABLE_DISCRIMINANT; + res + }, + PreprocessedColumn::IsFirst(log_size) => { + let mut res = (*log_size).into(); + res = res * FELT252_2_POW_32 + IS_FIRST_TABLE_DISCRIMINANT; + res + }, + PreprocessedColumn::Plonk(v) => { + let mut res = (*v).into(); + res = res * FELT252_2_POW_32 + PLONK_TABLE_DISCRIMINANT; + res + }, + } + } +} diff --git a/stwo_cairo_verifier/crates/verifier_core/Scarb.toml b/stwo_cairo_verifier/crates/verifier_core/Scarb.toml new file mode 100644 index 00000000..a67b7bfc --- /dev/null +++ b/stwo_cairo_verifier/crates/verifier_core/Scarb.toml @@ -0,0 +1,16 @@ +[package] +name = "stwo_verifier_core" +version = "0.1.0" +edition = "2024_07" + +[lib] +casm = true + +[tool.fmt] +sort-module-level-items = true + +[dependencies] +bounded_int = { path = "../bounded_int" } + +[dev-dependencies] +cairo_test = "2.9.2" diff --git a/stwo_cairo_verifier/src/channel.cairo b/stwo_cairo_verifier/crates/verifier_core/src/channel.cairo similarity index 100% rename from stwo_cairo_verifier/src/channel.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/channel.cairo diff --git a/stwo_cairo_verifier/src/circle.cairo b/stwo_cairo_verifier/crates/verifier_core/src/circle.cairo similarity index 100% rename from stwo_cairo_verifier/src/circle.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/circle.cairo diff --git a/stwo_cairo_verifier/src/circle_mul_table.cairo b/stwo_cairo_verifier/crates/verifier_core/src/circle_mul_table.cairo similarity index 100% rename from stwo_cairo_verifier/src/circle_mul_table.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/circle_mul_table.cairo diff --git a/stwo_cairo_verifier/src/fields.cairo b/stwo_cairo_verifier/crates/verifier_core/src/fields.cairo similarity index 100% rename from stwo_cairo_verifier/src/fields.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/fields.cairo diff --git a/stwo_cairo_verifier/src/fields/cm31.cairo b/stwo_cairo_verifier/crates/verifier_core/src/fields/cm31.cairo similarity index 100% rename from stwo_cairo_verifier/src/fields/cm31.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/fields/cm31.cairo diff --git a/stwo_cairo_verifier/src/fields/m31.cairo b/stwo_cairo_verifier/crates/verifier_core/src/fields/m31.cairo similarity index 96% rename from stwo_cairo_verifier/src/fields/m31.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/fields/m31.cairo index ea51220f..05fdd020 100644 --- a/stwo_cairo_verifier/src/fields/m31.cairo +++ b/stwo_cairo_verifier/crates/verifier_core/src/fields/m31.cairo @@ -149,6 +149,17 @@ impl M31IntoFelt252 of Into { } } +impl U32TryIntoM31 of TryInto { + #[inline] + fn try_into(self: u32) -> Option { + if self >= P_U32 { + return Option::None; + } + + Option::Some(M31Impl::reduce_u32(self)) + } +} + impl M31PartialOrd of PartialOrd { fn ge(lhs: M31, rhs: M31) -> bool { upcast::<_, u32>(lhs.inner) >= upcast(rhs.inner) diff --git a/stwo_cairo_verifier/src/fields/qm31.cairo b/stwo_cairo_verifier/crates/verifier_core/src/fields/qm31.cairo similarity index 100% rename from stwo_cairo_verifier/src/fields/qm31.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/fields/qm31.cairo diff --git a/stwo_cairo_verifier/src/fri.cairo b/stwo_cairo_verifier/crates/verifier_core/src/fri.cairo similarity index 99% rename from stwo_cairo_verifier/src/fri.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/fri.cairo index f894f79f..079a0c41 100644 --- a/stwo_cairo_verifier/src/fri.cairo +++ b/stwo_cairo_verifier/crates/verifier_core/src/fri.cairo @@ -54,10 +54,9 @@ pub impl FriVerifierImpl of FriVerifierTrait { fn commit( ref channel: Channel, config: FriConfig, proof: FriProof, column_log_bounds: Span, ) -> Result { - let FriProof { first_layer: first_layer_proof, - inner_layers: mut inner_layer_proofs, - last_layer_poly } = - proof; + let FriProof { + first_layer: first_layer_proof, inner_layers: mut inner_layer_proofs, last_layer_poly, + } = proof; channel.mix_digest(first_layer_proof.commitment); @@ -625,7 +624,7 @@ impl SparseEvaluationImpl of SparseEvaluationTrait { fn new( subset_evals: Array>, subset_domain_initial_indexes: Span, ) -> SparseEvaluation { - assert_eq!(subset_evals.len(), subset_domain_initial_indexes.len()); + assert!(subset_evals.len() == subset_domain_initial_indexes.len()); SparseEvaluation { subset_evals, subset_domain_initial_indexes } } diff --git a/stwo_cairo_verifier/src/lib.cairo b/stwo_cairo_verifier/crates/verifier_core/src/lib.cairo similarity index 94% rename from stwo_cairo_verifier/src/lib.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/lib.cairo index de7a813a..0bd7b8d0 100644 --- a/stwo_cairo_verifier/src/lib.cairo +++ b/stwo_cairo_verifier/crates/verifier_core/src/lib.cairo @@ -12,7 +12,9 @@ pub mod verifier; pub use fields::{BaseField, SecureField}; -fn main() {} +fn main() { + println!("WHOA"); +} /// An array in which each element relates (by index) to a column in the trace. pub type ColumnArray = Array; diff --git a/stwo_cairo_verifier/src/pcs.cairo b/stwo_cairo_verifier/crates/verifier_core/src/pcs.cairo similarity index 100% rename from stwo_cairo_verifier/src/pcs.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/pcs.cairo diff --git a/stwo_cairo_verifier/src/pcs/quotients.cairo b/stwo_cairo_verifier/crates/verifier_core/src/pcs/quotients.cairo similarity index 99% rename from stwo_cairo_verifier/src/pcs/quotients.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/pcs/quotients.cairo index 01cae080..e6e9d2ea 100644 --- a/stwo_cairo_verifier/src/pcs/quotients.cairo +++ b/stwo_cairo_verifier/crates/verifier_core/src/pcs/quotients.cairo @@ -9,7 +9,6 @@ use crate::fields::cm31::{CM31, CM31Impl}; use crate::fields::m31::{M31, UnreducedM31}; use crate::fields::qm31::{PackedUnreducedQM31, PackedUnreducedQM31Impl, QM31, QM31Impl}; use crate::poly::circle::{CanonicCosetImpl, CircleDomainImpl, CircleEvaluationImpl}; -use crate::queries::SubCircleDomainImpl; use crate::utils::{ArrayImpl as ArrayUtilImpl, SpanImpl, bit_reverse_index, pack4}; use crate::verifier::VerificationError; @@ -270,8 +269,9 @@ fn accumulate_row_quotients( let (column_index, _) = sample_batch_columns_and_values[sample_i]; let column_query_evals = *query_evals_by_column.at(*column_index); let query_eval_at_column = *column_query_evals.at(query_index); - let ComplexConjugateLineCoeffs { alpha_mul_a, alpha_mul_b, alpha_mul_c } = - *line_coeffs[sample_i]; + let ComplexConjugateLineCoeffs { + alpha_mul_a, alpha_mul_b, alpha_mul_c, + } = *line_coeffs[sample_i]; // The numerator is a line equation passing through // (sample_point.y, sample_value), (conj(sample_point), conj(sample_value)) // evaluated at (domain_point.y, value). @@ -477,7 +477,6 @@ mod tests { use crate::fields::m31::m31; use crate::fields::qm31::{PackedUnreducedQM31Impl, qm31}; use crate::poly::circle::{CanonicCosetImpl, CircleDomainImpl, CircleEvaluationImpl}; - use crate::queries::SubCircleDomainImpl; use crate::utils::DictImpl; use super::{ ColumnSampleBatch, ColumnSampleBatchImpl, ComplexConjugateLineCoeffsImpl, PointSample, diff --git a/stwo_cairo_verifier/src/pcs/verifier.cairo b/stwo_cairo_verifier/crates/verifier_core/src/pcs/verifier.cairo similarity index 96% rename from stwo_cairo_verifier/src/pcs/verifier.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/pcs/verifier.cairo index ebc273a3..f6beff01 100644 --- a/stwo_cairo_verifier/src/pcs/verifier.cairo +++ b/stwo_cairo_verifier/crates/verifier_core/src/pcs/verifier.cairo @@ -55,12 +55,12 @@ pub impl CommitmentSchemeVerifierImpl of CommitmentSchemeVerifierTrait { fn commit( ref self: CommitmentSchemeVerifier, commitment: felt252, - log_sizes: @Array, + log_sizes: Span, ref channel: Channel, ) { channel.mix_digest(commitment); let mut extended_log_sizes = array![]; - for log_size in log_sizes.span() { + for log_size in log_sizes { extended_log_sizes.append(*log_size + self.config.fri_config.log_blowup_factor); }; self @@ -74,13 +74,14 @@ pub impl CommitmentSchemeVerifierImpl of CommitmentSchemeVerifierTrait { proof: CommitmentSchemeProof, ref channel: Channel, ) -> Result<(), VerificationError> { - let CommitmentSchemeProof { commitments: _, - sampled_values, - decommitments, - queried_values, - proof_of_work_nonce, - fri_proof } = - proof; + let CommitmentSchemeProof { + commitments: _, + sampled_values, + decommitments, + queried_values, + proof_of_work_nonce, + fri_proof, + } = proof; let mut flattened_sampled_values = array![]; diff --git a/stwo_cairo_verifier/src/poly.cairo b/stwo_cairo_verifier/crates/verifier_core/src/poly.cairo similarity index 100% rename from stwo_cairo_verifier/src/poly.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/poly.cairo diff --git a/stwo_cairo_verifier/src/poly/circle.cairo b/stwo_cairo_verifier/crates/verifier_core/src/poly/circle.cairo similarity index 100% rename from stwo_cairo_verifier/src/poly/circle.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/poly/circle.cairo diff --git a/stwo_cairo_verifier/src/poly/line.cairo b/stwo_cairo_verifier/crates/verifier_core/src/poly/line.cairo similarity index 100% rename from stwo_cairo_verifier/src/poly/line.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/poly/line.cairo diff --git a/stwo_cairo_verifier/src/poly/utils.cairo b/stwo_cairo_verifier/crates/verifier_core/src/poly/utils.cairo similarity index 100% rename from stwo_cairo_verifier/src/poly/utils.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/poly/utils.cairo diff --git a/stwo_cairo_verifier/src/queries.cairo b/stwo_cairo_verifier/crates/verifier_core/src/queries.cairo similarity index 82% rename from stwo_cairo_verifier/src/queries.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/queries.cairo index e98f1276..c8d38251 100644 --- a/stwo_cairo_verifier/src/queries.cairo +++ b/stwo_cairo_verifier/crates/verifier_core/src/queries.cairo @@ -1,7 +1,7 @@ use crate::channel::{Channel, ChannelTrait}; use crate::circle::CosetImpl; -use crate::poly::circle::{CircleDomain, CircleDomainImpl}; -use super::utils::{ArrayImpl, bit_reverse_index, pow2}; +use crate::poly::circle::CircleDomainImpl; +use super::utils::{ArrayImpl, pow2}; /// An ordered set of query positions. #[derive(Drop, Copy, Debug, PartialEq)] @@ -57,14 +57,6 @@ pub impl QueriesImpl of QueriesImplTrait { } } -/// Represents a circle domain relative to a larger circle domain. The `coset_index` is the bit -/// reversed query index in the larger domain. -#[derive(Drop, Debug, Copy)] -pub struct SubCircleDomain { - pub coset_index: usize, - pub log_size: u32, -} - /// Returns a deduped list of folded query positions. /// /// # Panics @@ -87,34 +79,6 @@ pub fn get_folded_query_positions(mut query_positions: Span, n_folds: u32 folded_positions.span() } -#[generate_trait] -pub impl SubCircleDomainImpl of SubCircleDomainTrait { - /// Calculates the decommitment positions needed for each query given the fri step size. - fn to_decommitment_positions(self: @SubCircleDomain) -> Array { - let sub_circle_size = pow2(*self.log_size); - let start = *self.coset_index * sub_circle_size; - let end = start + sub_circle_size; - let mut res = array![]; - for i in start..end { - res.append(i); - }; - res - } - - /// Returns the represented [CircleDomain]. - fn to_circle_domain(self: @SubCircleDomain, query_domain: CircleDomain) -> CircleDomain { - let index = *self.coset_index * pow2(*self.log_size); - let query = bit_reverse_index(index, query_domain.log_size()); - let initial_index = query_domain.index_at(query); - let half_coset = CosetImpl::new(initial_index, *self.log_size - 1); - CircleDomainImpl::new(half_coset) - } - - fn size(self: @SubCircleDomain) -> usize { - pow2(*self.log_size).into() - } -} - #[cfg(test)] mod test { use crate::channel::ChannelTrait; diff --git a/stwo_cairo_verifier/src/utils.cairo b/stwo_cairo_verifier/crates/verifier_core/src/utils.cairo similarity index 99% rename from stwo_cairo_verifier/src/utils.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/utils.cairo index 02b16b47..7322f8b2 100644 --- a/stwo_cairo_verifier/src/utils.cairo +++ b/stwo_cairo_verifier/crates/verifier_core/src/utils.cairo @@ -270,4 +270,3 @@ mod tests { assert_eq!(ArrayImpl::new_repeated(5, 3_usize), array![3, 3, 3, 3, 3]); } } - diff --git a/stwo_cairo_verifier/src/vcs.cairo b/stwo_cairo_verifier/crates/verifier_core/src/vcs.cairo similarity index 100% rename from stwo_cairo_verifier/src/vcs.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/vcs.cairo diff --git a/stwo_cairo_verifier/src/vcs/hasher.cairo b/stwo_cairo_verifier/crates/verifier_core/src/vcs/hasher.cairo similarity index 100% rename from stwo_cairo_verifier/src/vcs/hasher.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/vcs/hasher.cairo diff --git a/stwo_cairo_verifier/src/vcs/verifier.cairo b/stwo_cairo_verifier/crates/verifier_core/src/vcs/verifier.cairo similarity index 100% rename from stwo_cairo_verifier/src/vcs/verifier.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/vcs/verifier.cairo diff --git a/stwo_cairo_verifier/src/verifier.cairo b/stwo_cairo_verifier/crates/verifier_core/src/verifier.cairo similarity index 97% rename from stwo_cairo_verifier/src/verifier.cairo rename to stwo_cairo_verifier/crates/verifier_core/src/verifier.cairo index dee0d64a..7ddd4534 100644 --- a/stwo_cairo_verifier/src/verifier.cairo +++ b/stwo_cairo_verifier/crates/verifier_core/src/verifier.cairo @@ -39,7 +39,8 @@ pub fn verify, +Drop>( commitment_scheme .commit( *commitment_scheme_proof.commitments[commitment_scheme_proof.commitments.len() - 1], - @ArrayImpl::new_repeated(QM31_EXTENSION_DEGREE, air.composition_log_degree_bound()), + ArrayImpl::new_repeated(QM31_EXTENSION_DEGREE, air.composition_log_degree_bound()) + .span(), ref channel, ); diff --git a/stwo_cairo_verifier/tests/verifier.cairo b/stwo_cairo_verifier/crates/verifier_core/tests/verifier.cairo similarity index 59% rename from stwo_cairo_verifier/tests/verifier.cairo rename to stwo_cairo_verifier/crates/verifier_core/tests/verifier.cairo index e8357fde..122bd51a 100644 --- a/stwo_cairo_verifier/tests/verifier.cairo +++ b/stwo_cairo_verifier/crates/verifier_core/tests/verifier.cairo @@ -1,22 +1,23 @@ -use stwo_cairo_verifier::channel::ChannelImpl; -use stwo_cairo_verifier::circle::{ +use stwo_verifier_core::channel::ChannelImpl; +use stwo_verifier_core::circle::{ CirclePoint, CirclePointIndexImpl, CirclePointQM31AddCirclePointM31Impl, }; -use stwo_cairo_verifier::fields::qm31::{QM31, QM31Impl, QM31One, QM31Zero}; -use stwo_cairo_verifier::fri::FriConfig; -use stwo_cairo_verifier::pcs::PcsConfig; -use stwo_cairo_verifier::pcs::verifier::CommitmentSchemeVerifierImpl; -use stwo_cairo_verifier::poly::circle::CanonicCosetImpl; -use stwo_cairo_verifier::utils::ArrayImpl; -use stwo_cairo_verifier::verifier::{Air, verify}; -use stwo_cairo_verifier::{ColumnArray, TreeArray}; - -mod proofs; +use stwo_verifier_core::fields::qm31::{QM31, QM31Impl, QM31One, QM31Zero}; +use stwo_verifier_core::fri::FriConfig; +use stwo_verifier_core::pcs::PcsConfig; +use stwo_verifier_core::pcs::verifier::CommitmentSchemeVerifierImpl; +use stwo_verifier_core::poly::circle::CanonicCosetImpl; +use stwo_verifier_core::utils::ArrayImpl; +use stwo_verifier_core::verifier::{Air, verify}; +use stwo_verifier_core::{ColumnArray, TreeArray}; + +mod fib_128_column_with_blowup_16_proof; +mod fib_128_column_with_blowup_2_proof; #[test] #[available_gas(100000000000)] fn test_horizontal_fib_128_column_with_blowup_16() { - let proof = proofs::horizontal_fib_128_column_with_blowup_16::proof(); + let proof = fib_128_column_with_blowup_16_proof::proof(); let config = PcsConfig { pow_bits: 0, fri_config: FriConfig { @@ -26,16 +27,16 @@ fn test_horizontal_fib_128_column_with_blowup_16() { // Verify. let log_size = 20; - let air = HorizontalFibAir::<128> { log_size }; + let air = FibAir::<128> { log_size }; let mut channel = ChannelImpl::new(0); let mut commitment_scheme = CommitmentSchemeVerifierImpl::new(config); // Decommit. - commitment_scheme.commit(*proof.commitment_scheme_proof.commitments[0], @array![], ref channel); + commitment_scheme.commit(*proof.commitment_scheme_proof.commitments[0], [].span(), ref channel); commitment_scheme .commit( *proof.commitment_scheme_proof.commitments[1], - @ArrayImpl::new_repeated(128, log_size), + ArrayImpl::new_repeated(128, log_size).span(), ref channel, ); @@ -47,7 +48,7 @@ fn test_horizontal_fib_128_column_with_blowup_16() { #[test] #[available_gas(100000000000)] fn test_horizontal_fib_128_column_with_blowup_2() { - let proof = proofs::horizontal_fib_128_column_with_blowup_2::proof(); + let proof = fib_128_column_with_blowup_2_proof::proof(); let config = PcsConfig { pow_bits: 0, fri_config: FriConfig { @@ -57,16 +58,16 @@ fn test_horizontal_fib_128_column_with_blowup_2() { // Verify. let log_size = 20; - let air = HorizontalFibAir::<128> { log_size }; + let air = FibAir::<128> { log_size }; let mut channel = ChannelImpl::new(0); let mut commitment_scheme = CommitmentSchemeVerifierImpl::new(config); // Decommit. - commitment_scheme.commit(*proof.commitment_scheme_proof.commitments[0], @array![], ref channel); + commitment_scheme.commit(*proof.commitment_scheme_proof.commitments[0], [].span(), ref channel); commitment_scheme .commit( *proof.commitment_scheme_proof.commitments[1], - @ArrayImpl::new_repeated(128, log_size), + ArrayImpl::new_repeated(128, log_size).span(), ref channel, ); @@ -75,24 +76,25 @@ fn test_horizontal_fib_128_column_with_blowup_2() { } } + #[derive(Drop)] -struct HorizontalFibAir { - log_size: u32, +pub struct FibAir { + pub log_size: u32, } -impl HorizontalFibAirImpl of Air> { - fn composition_log_degree_bound(self: @HorizontalFibAir) -> u32 { +impl FibAirImpl of Air> { + fn composition_log_degree_bound(self: @FibAir) -> u32 { *self.log_size + 1 } fn mask_points( - self: @HorizontalFibAir, point: CirclePoint, + self: @FibAir, point: CirclePoint, ) -> TreeArray>>> { array![array![], ArrayImpl::new_repeated(N_COLUMNS, array![point])] } fn eval_composition_polynomial_at_point( - self: @HorizontalFibAir, + self: @FibAir, point: CirclePoint, mask_values: @TreeArray>>, random_coeff: QM31, @@ -101,13 +103,13 @@ impl HorizontalFibAirImpl of Air = base_trace_tree[i - 2]; - let b_col: @Array = base_trace_tree[i - 1]; - let c_col: @Array = base_trace_tree[i]; - let a: QM31 = *a_col[0]; - let b: QM31 = *b_col[0]; - let c: QM31 = *c_col[0]; - let constraint: QM31 = c - b * b - a * a; + let a_col = base_trace_tree[i - 2]; + let b_col = base_trace_tree[i - 1]; + let c_col = base_trace_tree[i]; + let a = *a_col[0]; + let b = *b_col[0]; + let c = *c_col[0]; + let constraint = c - b * b - a * a; constraint_acc = constraint_acc * random_coeff + constraint; }; diff --git a/stwo_cairo_verifier/tests/verifier/proofs/horizontal_fib_128_column_with_blowup_16.cairo b/stwo_cairo_verifier/crates/verifier_core/tests/verifier/fib_128_column_with_blowup_16_proof.cairo similarity index 99% rename from stwo_cairo_verifier/tests/verifier/proofs/horizontal_fib_128_column_with_blowup_16.cairo rename to stwo_cairo_verifier/crates/verifier_core/tests/verifier/fib_128_column_with_blowup_16_proof.cairo index c753f1e6..63ad11de 100644 --- a/stwo_cairo_verifier/tests/verifier/proofs/horizontal_fib_128_column_with_blowup_16.cairo +++ b/stwo_cairo_verifier/crates/verifier_core/tests/verifier/fib_128_column_with_blowup_16_proof.cairo @@ -1,4 +1,4 @@ -use stwo_cairo_verifier::verifier::StarkProof; +use stwo_verifier_core::verifier::StarkProof; pub fn proof() -> StarkProof { let mut proof_data = array![ diff --git a/stwo_cairo_verifier/crates/verifier_core/tests/verifier/fib_128_column_with_blowup_2_proof.cairo b/stwo_cairo_verifier/crates/verifier_core/tests/verifier/fib_128_column_with_blowup_2_proof.cairo new file mode 100644 index 00000000..d5d73572 --- /dev/null +++ b/stwo_cairo_verifier/crates/verifier_core/tests/verifier/fib_128_column_with_blowup_2_proof.cairo @@ -0,0 +1,21262 @@ +use stwo_verifier_core::verifier::StarkProof; + +pub fn proof() -> StarkProof { + let mut proof_data = array![ + 3, + 973835572668429495915136902981656666590582180872133591629269551720657739196, + 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proof_data).unwrap() +} diff --git a/stwo_cairo_verifier/tests/verifier/proofs.cairo b/stwo_cairo_verifier/tests/verifier/proofs.cairo deleted file mode 100644 index 1d14f9a9..00000000 --- a/stwo_cairo_verifier/tests/verifier/proofs.cairo +++ /dev/null @@ -1,2 +0,0 @@ -pub mod horizontal_fib_128_column_with_blowup_16; -pub mod horizontal_fib_128_column_with_blowup_2; diff --git a/stwo_cairo_verifier/tests/verifier/proofs/horizontal_fib_128_column_with_blowup_2.cairo b/stwo_cairo_verifier/tests/verifier/proofs/horizontal_fib_128_column_with_blowup_2.cairo deleted file mode 100644 index c8298451..00000000 --- a/stwo_cairo_verifier/tests/verifier/proofs/horizontal_fib_128_column_with_blowup_2.cairo +++ /dev/null @@ -1,7 +0,0 @@ - -use stwo_cairo_verifier::verifier::StarkProof; - -pub fn proof() -> StarkProof { - let mut proof_data = 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- Serde::deserialize(ref proof_data).unwrap() -} \ No newline at end of file