diff --git a/spartan_parallel/src/dense_mlpoly.rs b/spartan_parallel/src/dense_mlpoly.rs
index 83b50e55..524875b5 100644
--- a/spartan_parallel/src/dense_mlpoly.rs
+++ b/spartan_parallel/src/dense_mlpoly.rs
@@ -1000,7 +1000,7 @@ impl<S: SpartanExtensionField> PolyEvalProof<S> {
 
     for i in 0..poly_size.len() {
       let num_vars = poly_size[i].next_power_of_two().log_2();
-      let L = if let Some(L) = L_map.get(&num_vars) {
+      let _L = if let Some(L) = L_map.get(&num_vars) {
         L
       } else {
         let (left_num_vars, right_num_vars) = EqPolynomial::<S>::compute_factored_lens(num_vars);
diff --git a/spartan_parallel/src/nizk/mod.rs b/spartan_parallel/src/nizk/mod.rs
index 25728835..37122207 100644
--- a/spartan_parallel/src/nizk/mod.rs
+++ b/spartan_parallel/src/nizk/mod.rs
@@ -4,7 +4,7 @@ use crate::scalar::SpartanExtensionField;
 use super::errors::ProofVerifyError;
 use super::math::Math;
 use super::random::RandomTape;
-use super::transcript::{AppendToTranscript, ProofTranscript};
+use super::transcript::ProofTranscript;
 use merlin::Transcript;
 use serde::{Deserialize, Serialize};
 mod bullet;
@@ -45,12 +45,15 @@ impl<S: SpartanExtensionField> KnowledgeProof<S> {
   }
 
   pub fn verify(&self, transcript: &mut Transcript) -> Result<(), ProofVerifyError> {
-    <Transcript as ProofTranscript<S>>::append_protocol_name(
-      transcript,
-      KnowledgeProof::<S>::protocol_name(),
-    );
-
-    let c: S = transcript.challenge_scalar(b"c");
+    // Transcript operations to preserve consistency for the verify function
+    {
+      <Transcript as ProofTranscript<S>>::append_protocol_name(
+        transcript,
+        KnowledgeProof::<S>::protocol_name(),
+      );
+
+      let _c: S = transcript.challenge_scalar(b"c");
+    }
 
     // TODO: Alternative PCS Verification
     Ok(())
@@ -89,12 +92,15 @@ impl<S: SpartanExtensionField> EqualityProof<S> {
   }
 
   pub fn verify(&self, transcript: &mut Transcript) -> Result<(), ProofVerifyError> {
-    <Transcript as ProofTranscript<S>>::append_protocol_name(
-      transcript,
-      EqualityProof::<S>::protocol_name(),
-    );
-
-    let c: S = transcript.challenge_scalar(b"c");
+    // Transcript operations to preserve consistency for the verify function
+    {
+      <Transcript as ProofTranscript<S>>::append_protocol_name(
+        transcript,
+        EqualityProof::<S>::protocol_name(),
+      );
+
+      let _c: S = transcript.challenge_scalar(b"c");
+    }
 
     // TODO: Alternative PCS Verification
     Ok(())
@@ -145,18 +151,21 @@ impl<S: SpartanExtensionField> ProductProof<S> {
     ProductProof { z }
   }
 
-  fn check_equality(_c: &S, _z1: &S, _z2: &S) -> bool {
+  fn _check_equality(_c: &S, _z1: &S, _z2: &S) -> bool {
     // TODO: Alternative PCS Verification
     true
   }
 
   pub fn verify(&self, transcript: &mut Transcript) -> Result<(), ProofVerifyError> {
-    <Transcript as ProofTranscript<S>>::append_protocol_name(
-      transcript,
-      ProductProof::<S>::protocol_name(),
-    );
-
-    let c: S = transcript.challenge_scalar(b"c");
+    // Transcript operations to preserve consistency for the verify function
+    {
+      <Transcript as ProofTranscript<S>>::append_protocol_name(
+        transcript,
+        ProductProof::<S>::protocol_name(),
+      );
+
+      let _c: S = transcript.challenge_scalar(b"c");
+    }
 
     // TODO: Alternative PCS Verification
     Ok(())
@@ -218,12 +227,15 @@ impl<S: SpartanExtensionField> DotProductProof<S> {
   }
 
   pub fn verify(&self, transcript: &mut Transcript, a: &[S]) -> Result<(), ProofVerifyError> {
-    <Transcript as ProofTranscript<S>>::append_protocol_name(
-      transcript,
-      DotProductProof::<S>::protocol_name(),
-    );
-    S::append_field_vector_to_transcript(b"a", transcript, a);
-    let c: S = transcript.challenge_scalar(b"c");
+    // Transcript operations to preserve consistency for the verify function
+    {
+      <Transcript as ProofTranscript<S>>::append_protocol_name(
+        transcript,
+        DotProductProof::<S>::protocol_name(),
+      );
+      S::append_field_vector_to_transcript(b"a", transcript, a);
+      let _c: S = transcript.challenge_scalar(b"c");
+    }
 
     let _dotproduct_z_a = DotProductProof::compute_dotproduct(&self.z, a);
 
@@ -304,26 +316,29 @@ impl<S: SpartanExtensionField> DotProductProofLog<S> {
   ) -> Result<(), ProofVerifyError> {
     assert_eq!(a.len(), n);
 
-    <Transcript as ProofTranscript<S>>::append_protocol_name(
-      transcript,
-      DotProductProofLog::<S>::protocol_name(),
-    );
+    // Transcript operations to preserve consistency for the verify function
+    {
+      <Transcript as ProofTranscript<S>>::append_protocol_name(
+        transcript,
+        DotProductProofLog::<S>::protocol_name(),
+      );
 
-    S::append_field_vector_to_transcript(b"a", transcript, a);
+      S::append_field_vector_to_transcript(b"a", transcript, a);
 
-    // sample a random base and scale the generator used for
-    // the output of the inner product
-    let r: S = transcript.challenge_scalar(b"r");
+      // sample a random base and scale the generator used for
+      // the output of the inner product
+      let _r: S = transcript.challenge_scalar(b"r");
 
-    // BulletReductionProof - verification_scalars
-    let mut m = a.len();
-    while m != 1 {
-      m /= 2;
+      // BulletReductionProof - verification_scalars
+      let mut m = a.len();
+      while m != 1 {
+        m /= 2;
 
-      let u: S = transcript.challenge_scalar(b"u");
-    }
+        let _u: S = transcript.challenge_scalar(b"u");
+      }
 
-    let c: S = transcript.challenge_scalar(b"c");
+      let _c: S = transcript.challenge_scalar(b"c");
+    }
 
     // TODO: Alternative PCS Verification
     Ok(())
diff --git a/spartan_parallel/src/product_tree.rs b/spartan_parallel/src/product_tree.rs
index c12ad115..61dbe78a 100644
--- a/spartan_parallel/src/product_tree.rs
+++ b/spartan_parallel/src/product_tree.rs
@@ -4,7 +4,6 @@ use crate::scalar::SpartanExtensionField;
 use super::dense_mlpoly::DensePolynomial;
 use super::dense_mlpoly::EqPolynomial;
 use super::math::Math;
-use super::scalar::Scalar;
 use super::sumcheck::SumcheckInstanceProof;
 use super::transcript::ProofTranscript;
 use merlin::Transcript;
diff --git a/spartan_parallel/src/r1csproof.rs b/spartan_parallel/src/r1csproof.rs
index dd70da74..1188c0c9 100644
--- a/spartan_parallel/src/r1csproof.rs
+++ b/spartan_parallel/src/r1csproof.rs
@@ -485,7 +485,7 @@ impl<S: SpartanExtensionField> R1CSProof<S> {
     // So we need to multiply each entry by (1 - rq0)(1 - rq1)
     let mut eval_vars_comb_list = Vec::new();
     for p in 0..num_instances {
-      let wit_sec_p = |i: usize| {
+      let _wit_sec_p = |i: usize| {
         if witness_secs[i].w_mat.len() == 1 {
           0
         } else {
diff --git a/spartan_parallel/src/scalar/fp.rs b/spartan_parallel/src/scalar/fp.rs
index bd9a53c4..294b1e87 100644
--- a/spartan_parallel/src/scalar/fp.rs
+++ b/spartan_parallel/src/scalar/fp.rs
@@ -1,5 +1,5 @@
 use super::SpartanExtensionField;
-use crate::{AppendToTranscript, ProofTranscript, Transcript};
+use crate::{ProofTranscript, Transcript};
 use ceno_goldilocks::Goldilocks;
 use core::borrow::Borrow;
 use core::iter::{Product, Sum};
diff --git a/spartan_parallel/src/scalar/mod.rs b/spartan_parallel/src/scalar/mod.rs
index 31795b58..915bd2c2 100644
--- a/spartan_parallel/src/scalar/mod.rs
+++ b/spartan_parallel/src/scalar/mod.rs
@@ -5,6 +5,7 @@ use ceno_goldilocks::ExtensionField;
 use ff::Field;
 pub use fp::Scalar;
 pub use fp2::ScalarExt2;
+use merlin::Transcript;
 use rand::{CryptoRng, RngCore};
 use serde::Serialize;
 use std::fmt;
@@ -17,9 +18,6 @@ use std::{
 use subtle::{Choice, ConditionallySelectable, ConstantTimeEq, CtOption};
 use zeroize::Zeroize;
 
-use crate::transcript::AppendToTranscript;
-use merlin::Transcript;
-
 /// Trait describing the field element
 /// Wraps around Goldilocks field towers from ceno-goldilocks
 /// See: https://github.com/scroll-tech/ceno-Goldilocks
diff --git a/spartan_parallel/src/sparse_mlpoly.rs b/spartan_parallel/src/sparse_mlpoly.rs
index 19959eba..cff1f6c6 100644
--- a/spartan_parallel/src/sparse_mlpoly.rs
+++ b/spartan_parallel/src/sparse_mlpoly.rs
@@ -390,7 +390,7 @@ impl<S: SpartanExtensionField> SparseMatPolynomial<S> {
       .collect::<Vec<S>>()
   }
 
-  pub fn multiply_vec(&self, num_rows: usize, num_cols: usize, z: &[S]) -> Vec<S> {
+  pub fn _multiply_vec(&self, num_rows: usize, num_cols: usize, z: &[S]) -> Vec<S> {
     assert_eq!(z.len(), num_cols);
 
     (0..self.M.len())
@@ -1472,53 +1472,6 @@ impl<S: SpartanExtensionField> SparseMatPolyEvalProof<S> {
   }
 }
 
-pub struct SparsePolyEntry<S: SpartanExtensionField> {
-  pub idx: usize,
-  pub val: S,
-}
-
-impl<S: SpartanExtensionField> SparsePolyEntry<S> {
-  pub fn new(idx: usize, val: S) -> Self {
-    SparsePolyEntry { idx, val }
-  }
-}
-
-pub struct SparsePolynomial<S: SpartanExtensionField> {
-  num_vars: usize,
-  Z: Vec<SparsePolyEntry<S>>,
-}
-
-impl<S: SpartanExtensionField> SparsePolynomial<S> {
-  pub fn new(num_vars: usize, Z: Vec<SparsePolyEntry<S>>) -> Self {
-    SparsePolynomial { num_vars, Z }
-  }
-
-  fn compute_chi(a: &[bool], r: &[S]) -> S {
-    assert_eq!(a.len(), r.len());
-    let mut chi_i = S::field_one();
-    for j in 0..r.len() {
-      if a[j] {
-        chi_i = chi_i * r[j];
-      } else {
-        chi_i = chi_i * (S::field_one() - r[j]);
-      }
-    }
-    chi_i
-  }
-
-  // Takes O(n log n). TODO: do this in O(n) where n is the number of entries in Z
-  pub fn evaluate(&self, r: &[S]) -> S {
-    assert_eq!(self.num_vars, r.len());
-
-    (0..self.Z.len())
-      .map(|i| {
-        let bits = self.Z[i].idx.get_bits(r.len());
-        SparsePolynomial::compute_chi(&bits, r) * self.Z[i].val
-      })
-      .sum()
-  }
-}
-
 #[cfg(test)]
 mod tests {
   use super::*;
diff --git a/spartan_parallel/src/sumcheck.rs b/spartan_parallel/src/sumcheck.rs
index 2c50e1fa..e181fdf2 100644
--- a/spartan_parallel/src/sumcheck.rs
+++ b/spartan_parallel/src/sumcheck.rs
@@ -93,7 +93,7 @@ impl<S: SpartanExtensionField> ZKSumcheckInstanceProof<S> {
       let r_i = transcript.challenge_scalar(b"challenge_nextround");
 
       // verify the proof of sum-check and evals
-      let res = {
+      let _res = {
         // produce two weights
         let w: Vec<S> = transcript.challenge_vector(b"combine_two_claims_to_one", 2);
 
diff --git a/spartan_parallel/src/unipoly.rs b/spartan_parallel/src/unipoly.rs
index f1b764af..281dbf27 100644
--- a/spartan_parallel/src/unipoly.rs
+++ b/spartan_parallel/src/unipoly.rs
@@ -1,4 +1,4 @@
-use super::scalar::{Scalar, SpartanExtensionField};
+use super::scalar::SpartanExtensionField;
 use super::transcript::{AppendToTranscript, ProofTranscript};
 use merlin::Transcript;
 use serde::{Deserialize, Serialize};
@@ -115,8 +115,8 @@ impl<S: SpartanExtensionField> AppendToTranscript for UniPoly<S> {
 
 #[cfg(test)]
 mod tests {
-
   use super::*;
+  use crate::scalar::Scalar;
 
   #[test]
   fn test_from_evals_quad() {