From ef1bc7d8f728650eb176ca0131854973332a4c18 Mon Sep 17 00:00:00 2001 From: Otmar Ertl Date: Thu, 17 Aug 2023 15:56:20 +0200 Subject: [PATCH 1/3] unit test for register change probability --- .../hash4j/distinctcount/UltraLogLog.java | 3 +- .../hash4j/distinctcount/UltraLogLogTest.java | 62 +++++++++++++++++++ 2 files changed, 64 insertions(+), 1 deletion(-) diff --git a/src/main/java/com/dynatrace/hash4j/distinctcount/UltraLogLog.java b/src/main/java/com/dynatrace/hash4j/distinctcount/UltraLogLog.java index 133c33c3..71427b6e 100644 --- a/src/main/java/com/dynatrace/hash4j/distinctcount/UltraLogLog.java +++ b/src/main/java/com/dynatrace/hash4j/distinctcount/UltraLogLog.java @@ -407,7 +407,8 @@ public double getDistinctCountEstimate(Estimator estimator) { return estimator.estimate(this); } - private static double getRegisterChangeProbability(byte reg, int p) { + // visible for testing + static double getRegisterChangeProbability(byte reg, int p) { final int off = (p + 1) << 2; int r = (reg & 0xFF); int t = r - off; diff --git a/src/test/java/com/dynatrace/hash4j/distinctcount/UltraLogLogTest.java b/src/test/java/com/dynatrace/hash4j/distinctcount/UltraLogLogTest.java index 30d7d24f..13640fbe 100644 --- a/src/test/java/com/dynatrace/hash4j/distinctcount/UltraLogLogTest.java +++ b/src/test/java/com/dynatrace/hash4j/distinctcount/UltraLogLogTest.java @@ -820,4 +820,66 @@ void testOptimalFGRAEstimatorEstimationFactors() { .mapToDouble(p -> calculateEstimationFactor(p)) .toArray()); } + + // this function maps a register value from the corresponding value as defined in the paper + private static byte mapRegisterFromReferenceDefinition(byte r, int p) { + if (r == 0) return 0; + return (byte) (r + 4 * (p - 2)); + } + + // this function maps a register value to the corresponding value as defined in the paper + private static byte mapRegisterToReferenceDefinition(byte r, int p) { + if (r == 0) return 0; + return (byte) (r - 4 * (p - 2)); + } + + @Test + void testRegisterStateChangeProbability() { + for (int p = MIN_P; p <= MAX_P; ++p) { + int m = 1 << p; + assertThat(getRegisterChangeProbability(mapRegisterFromReferenceDefinition((byte) 0, p), p)) + .isEqualTo(1. / m); + assertThat(getRegisterChangeProbability(mapRegisterFromReferenceDefinition((byte) 4, p), p)) + .isEqualTo(1. / (2. * m)); + assertThat(getRegisterChangeProbability(mapRegisterFromReferenceDefinition((byte) 8, p), p)) + .isEqualTo(3. / (4. * m)); + assertThat(getRegisterChangeProbability(mapRegisterFromReferenceDefinition((byte) 10, p), p)) + .isEqualTo(1. / (4. * m)); + int w = 65 - p; + for (int u = 3; u < w; ++u) { + assertThat( + getRegisterChangeProbability( + mapRegisterFromReferenceDefinition((byte) (4 * u + 0), p), p)) + .isEqualTo(7. / (Math.pow(2., u) * m)); + assertThat( + getRegisterChangeProbability( + mapRegisterFromReferenceDefinition((byte) (4 * u + 1), p), p)) + .isEqualTo(3. / (Math.pow(2., u) * m)); + assertThat( + getRegisterChangeProbability( + mapRegisterFromReferenceDefinition((byte) (4 * u + 2), p), p)) + .isEqualTo(5. / (Math.pow(2., u) * m)); + assertThat( + getRegisterChangeProbability( + mapRegisterFromReferenceDefinition((byte) (4 * u + 3), p), p)) + .isEqualTo(1. / (Math.pow(2., u) * m)); + } + assertThat( + getRegisterChangeProbability( + mapRegisterFromReferenceDefinition((byte) (4 * w + 0), p), p)) + .isEqualTo(3. / (Math.pow(2., w - 1) * m)); + assertThat( + getRegisterChangeProbability( + mapRegisterFromReferenceDefinition((byte) (4 * w + 1), p), p)) + .isEqualTo(1. / (Math.pow(2., w - 1) * m)); + assertThat( + getRegisterChangeProbability( + mapRegisterFromReferenceDefinition((byte) (4 * w + 2), p), p)) + .isEqualTo(2. / (Math.pow(2., w - 1) * m)); + assertThat( + getRegisterChangeProbability( + mapRegisterFromReferenceDefinition((byte) (4 * w + 3), p), p)) + .isZero(); + } + } } From 322552658e441d9341cad443ea9c4e1969eca459 Mon Sep 17 00:00:00 2001 From: Otmar Ertl Date: Thu, 24 Aug 2023 13:43:20 +0200 Subject: [PATCH 2/3] updated estimation error charts after fixing a tiny bug in the simulation code --- .../EstimationErrorSimulationUtil.java | 2 +- .../hyperloglog-estimation-error-p03.csv | 12 +- .../hyperloglog-estimation-error-p03.png | Bin 154630 -> 154599 bytes .../hyperloglog-estimation-error-p04.csv | 38 +- .../hyperloglog-estimation-error-p04.png | Bin 151641 -> 151704 bytes .../hyperloglog-estimation-error-p05.csv | 60 +-- .../hyperloglog-estimation-error-p05.png | Bin 139077 -> 139029 bytes .../hyperloglog-estimation-error-p06.csv | 90 ++--- .../hyperloglog-estimation-error-p06.png | Bin 146110 -> 146114 bytes .../hyperloglog-estimation-error-p07.csv | 110 +++--- .../hyperloglog-estimation-error-p07.png | Bin 136126 -> 136226 bytes .../hyperloglog-estimation-error-p08.csv | 150 +++---- .../hyperloglog-estimation-error-p08.png | Bin 136841 -> 136754 bytes .../hyperloglog-estimation-error-p09.csv | 178 ++++----- .../hyperloglog-estimation-error-p09.png | Bin 137163 -> 137169 bytes .../hyperloglog-estimation-error-p10.csv | 202 +++++----- .../hyperloglog-estimation-error-p10.png | Bin 136503 -> 136454 bytes .../hyperloglog-estimation-error-p11.csv | 224 +++++------ .../hyperloglog-estimation-error-p11.png | Bin 142603 -> 142609 bytes .../hyperloglog-estimation-error-p12.csv | 258 ++++++------ .../hyperloglog-estimation-error-p12.png | Bin 138521 -> 138547 bytes .../hyperloglog-estimation-error-p13.csv | 282 ++++++------- .../hyperloglog-estimation-error-p13.png | Bin 148715 -> 148711 bytes .../hyperloglog-estimation-error-p14.csv | 314 +++++++-------- .../hyperloglog-estimation-error-p14.png | Bin 145571 -> 145590 bytes .../hyperloglog-estimation-error-p15.csv | 346 ++++++++-------- .../hyperloglog-estimation-error-p15.png | Bin 151432 -> 151405 bytes .../hyperloglog-estimation-error-p16.csv | 356 ++++++++--------- .../hyperloglog-estimation-error-p16.png | Bin 149251 -> 149217 bytes .../ultraloglog-estimation-error-p03.csv | 18 +- .../ultraloglog-estimation-error-p03.png | Bin 172588 -> 172586 bytes .../ultraloglog-estimation-error-p04.csv | 46 +-- .../ultraloglog-estimation-error-p04.png | Bin 157357 -> 157365 bytes .../ultraloglog-estimation-error-p05.csv | 82 ++-- .../ultraloglog-estimation-error-p05.png | Bin 156806 -> 156800 bytes .../ultraloglog-estimation-error-p06.csv | 100 ++--- .../ultraloglog-estimation-error-p06.png | Bin 154701 -> 154711 bytes .../ultraloglog-estimation-error-p07.csv | 130 +++--- .../ultraloglog-estimation-error-p07.png | Bin 156561 -> 156487 bytes .../ultraloglog-estimation-error-p08.csv | 168 ++++---- .../ultraloglog-estimation-error-p08.png | Bin 154859 -> 154801 bytes .../ultraloglog-estimation-error-p09.csv | 198 +++++----- .../ultraloglog-estimation-error-p09.png | Bin 163730 -> 163768 bytes .../ultraloglog-estimation-error-p10.csv | 226 +++++------ .../ultraloglog-estimation-error-p10.png | Bin 157313 -> 157236 bytes .../ultraloglog-estimation-error-p11.csv | 246 ++++++------ .../ultraloglog-estimation-error-p11.png | Bin 165729 -> 165772 bytes .../ultraloglog-estimation-error-p12.csv | 270 ++++++------- .../ultraloglog-estimation-error-p12.png | Bin 161588 -> 161577 bytes .../ultraloglog-estimation-error-p13.csv | 302 +++++++------- .../ultraloglog-estimation-error-p13.png | Bin 159723 -> 159760 bytes .../ultraloglog-estimation-error-p14.csv | 336 ++++++++-------- .../ultraloglog-estimation-error-p14.png | Bin 167265 -> 167245 bytes .../ultraloglog-estimation-error-p15.csv | 356 ++++++++--------- .../ultraloglog-estimation-error-p15.png | Bin 163657 -> 163631 bytes .../ultraloglog-estimation-error-p16.csv | 374 +++++++++--------- .../ultraloglog-estimation-error-p16.png | Bin 178094 -> 177914 bytes 57 files changed, 2737 insertions(+), 2737 deletions(-) diff --git a/src/test/java/com/dynatrace/hash4j/distinctcount/EstimationErrorSimulationUtil.java b/src/test/java/com/dynatrace/hash4j/distinctcount/EstimationErrorSimulationUtil.java index 7788fd12..b9a1d55f 100644 --- a/src/test/java/com/dynatrace/hash4j/distinctcount/EstimationErrorSimulationUtil.java +++ b/src/test/java/com/dynatrace/hash4j/distinctcount/EstimationErrorSimulationUtil.java @@ -153,7 +153,7 @@ void doSimulation( if (trueDistinctCount.compareTo(targetDistinctCount) < 0) { while (transitionIndex < transitions.length && transitions[transitionIndex].distinctCount.compareTo(targetDistinctCount) - < 0) { + <= 0) { sketch.add(transitions[transitionIndex].hash, martingaleEstimator); transitionIndex += 1; } diff --git a/test-results/hyperloglog-estimation-error-p03.csv b/test-results/hyperloglog-estimation-error-p03.csv index 7683e719..267374ab 100644 --- a/test-results/hyperloglog-estimation-error-p03.csv +++ b/test-results/hyperloglog-estimation-error-p03.csv @@ -262,7 +262,7 @@ distinct count; relative bias default; relative rmse default; theoretical relati 1400571.0; 0.014404892633014369; 0.4250911571470386; 0.36732845344456977; -0.0013529056008867236; 0.3145180385303616; 0.29435250562886867; 0.014100407785059797; 0.4246382784959953; 0.3665304651862049; 0.014404892633014369; 0.4250911571470386; 0.36732845344456977 1470599.0; 0.014502458100077234; 0.426322242306929; 0.36732845344456977; -0.0015796981152380847; 0.31503976841268244; 0.29435250562886867; 0.014166172383666745; 0.42583869950506564; 0.3665304651862049; 0.014502458100077234; 0.426322242306929; 0.36732845344456977 1544128.0; 0.014988469552629603; 0.42604680568060876; 0.36732845344456977; -0.0013968761112542391; 0.31490526007091524; 0.29435250562886867; 0.014639875241972047; 0.42558081358775735; 0.3665304651862049; 0.014988469552629603; 0.42604680568060876; 0.36732845344456977 -1621334.0; 0.015113522805974474; 0.42652576783872154; 0.36732845344456977; -0.001318739722730736; 0.31561085042381826; 0.29435250562886867; 0.014760981246883575; 0.42608156041569817; 0.3665304651862049; 0.015113522805974474; 0.42652576783872154; 0.36732845344456977 +1621334.0; 0.015121239844544325; 0.4265518050099753; 0.36732845344456977; -0.0013147015626453354; 0.3156262410665305; 0.29435250562886867; 0.01476892285409832; 0.4261086977656417; 0.3665304651862049; 0.015121239844544325; 0.4265518050099753; 0.36732845344456977 1702400.0; 0.015061220479801374; 0.42681457034775355; 0.36732845344456977; -0.0011774352706854301; 0.3160944358546233; 0.29435250562886867; 0.014724209801811543; 0.426396509812235; 0.3665304651862049; 0.015061220479801374; 0.42681457034775355; 0.36732845344456977 1787519.0; 0.01511366111631577; 0.42619850323211894; 0.36732845344456977; -0.001407045766495194; 0.3160094631026459; 0.29435250562886867; 0.01476806894915228; 0.42582890971546594; 0.3665304651862049; 0.01511366111631577; 0.42619850323211894; 0.36732845344456977 1876894.0; 0.014793652749343286; 0.426376296679895; 0.36732845344456977; -0.001399883101132803; 0.3165427026049066; 0.29435250562886867; 0.014469787877838487; 0.42598537653300683; 0.3665304651862049; 0.014793652749343286; 0.426376296679895; 0.36732845344456977 @@ -270,21 +270,21 @@ distinct count; relative bias default; relative rmse default; theoretical relati 2069274.0; 0.015261279577463736; 0.42619555907304846; 0.36732845344456977; -0.0015008028180997684; 0.3164292773513996; 0.29435250562886867; 0.014814054568167454; 0.4255374610280189; 0.3665304651862049; 0.015261279577463736; 0.42619555907304846; 0.36732845344456977 2172737.0; 0.015700907404391284; 0.42772083548691786; 0.36732845344456977; -0.0012803331780131516; 0.3167700637938591; 0.29435250562886867; 0.015204828922742882; 0.427031768370001; 0.3665304651862049; 0.015700907404391284; 0.42772083548691786; 0.36732845344456977 2281373.0; 0.014952939328219018; 0.42670961057263807; 0.36732845344456977; -0.0016673443355606791; 0.31611688575034175; 0.29435250562886867; 0.014499490379824247; 0.4260779564639678; 0.3665304651862049; 0.014952939328219018; 0.42670961057263807; 0.36732845344456977 -2395441.0; 0.015232542734087624; 0.4278903683123848; 0.36732845344456977; 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0.42417516012843404; 0.36732845344456977; -0.001236193406606601; 0.3153776692847698; 0.29435250562886867; 0.013415186447852681; 0.4236389114534746; 0.3665304651862049; 0.01377716719942118; 0.42417516012843404; 0.36732845344456977 5228934.0; 0.013509370810426156; 0.42306534412667646; 0.36732845344456977; -0.0012940500095838523; 0.315395686262813; 0.29435250562886867; 0.01317785028087572; 0.42260376761921686; 0.3665304651862049; 0.013509370810426156; 0.42306534412667646; 0.36732845344456977 5490380.0; 0.0141683740315488; 0.42398568272935294; 0.36732845344456977; -0.0011355903262195038; 0.315673181079185; 0.29435250562886867; 0.013812268167732799; 0.42358807904810575; 0.3665304651862049; 0.0141683740315488; 0.42398568272935294; 0.36732845344456977 @@ -295,7 +295,7 @@ distinct count; relative bias default; relative rmse default; theoretical relati 7007269.0; 0.013669843226859671; 0.4239938818156435; 0.36732845344456977; -0.0012093951303875027; 0.3149467198643438; 0.29435250562886867; 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0.09183211336114244; -1.5174883195633653E-4; 0.07397040122125838; 0.07358812640721717; -2.7768417182289483E-5; 0.09247728964317196; 0.09163261629655123; -2.9257561555232946E-5; 0.09264844645241757; 0.09183211336114244 1.44306136E8; -5.8664757081532305E-5; 0.09256331963932525; 0.09183211336114244; -1.4888036667929378E-4; 0.07394140739961946; 0.07358812640721717; -6.142053699170789E-5; 0.0923818480002957; 0.09163261629655123; -5.8664757081532305E-5; 0.09256331963932525; 0.09183211336114244 @@ -366,7 +366,7 @@ distinct count; relative bias default; relative rmse default; theoretical relati 2.23866173E8; -3.3179948289360565E-5; 0.09277567335620025; 0.09183211336114244; 2.4121403687267325E-5; 0.0743199551524044; 0.07358812640721717; -1.9266726654163756E-5; 0.09262975676364299; 0.09163261629655123; -3.3179948289360565E-5; 0.09277567335620025; 0.09183211336114244 2.35059481E8; 1.8826611502089503E-5; 0.09294632434207536; 0.09183211336114244; 3.212093922092237E-5; 0.07424902038240472; 0.07358812640721717; 3.219293235162163E-5; 0.09278392699556008; 0.09163261629655123; 1.8826611502089503E-5; 0.09294632434207536; 0.09183211336114244 2.46812455E8; -1.765420930960443E-6; 0.09293214549455107; 0.09183211336114244; 6.593984722200484E-5; 0.07435350710965331; 0.07358812640721717; 8.876537450520712E-6; 0.09277159103857023; 0.09163261629655123; -1.765420930960443E-6; 0.09293214549455107; 0.09183211336114244 -2.59153077E8; 8.073329205624624E-5; 0.09302342952454279; 0.09183211336114244; 7.605186706372409E-5; 0.07439165385159828; 0.07358812640721717; 8.241575887565821E-5; 0.0928503090159196; 0.09163261629655123; 8.073329205624624E-5; 0.09302342952454279; 0.09183211336114244 +2.59153077E8; 8.08765398210334E-5; 0.09302368452530606; 0.09183211336114244; 7.617838825640167E-5; 0.07439178929274602; 0.07358812640721717; 8.255428880494248E-5; 0.09285055978340913; 0.09163261629655123; 8.08765398210334E-5; 0.09302368452530606; 0.09183211336114244 2.7211073E8; 8.669909114604119E-5; 0.09305604878279967; 0.09183211336114244; 6.543441538045815E-5; 0.07438152446245204; 0.07358812640721717; 9.051030704770322E-5; 0.09286987585256641; 0.09163261629655123; 8.669909114604119E-5; 0.09305604878279967; 0.09183211336114244 2.85716266E8; 1.0418185031466159E-4; 0.09303697723858546; 0.09183211336114244; 6.194831601860162E-5; 0.0742907518983932; 0.07358812640721717; 1.0451102284270672E-4; 0.09283795212370666; 0.09163261629655123; 1.0418185031466159E-4; 0.09303697723858546; 0.09183211336114244 3.00002079E8; 4.825538879213433E-5; 0.09292655117501658; 0.09183211336114244; -6.50352153293204E-5; 0.07424297153772928; 0.07358812640721717; 4.3695076801308125E-5; 0.09273381913396417; 0.09163261629655123; 4.825538879213433E-5; 0.09292655117501658; 0.09183211336114244 diff --git a/test-results/hyperloglog-estimation-error-p07.png b/test-results/hyperloglog-estimation-error-p07.png index d31465b05fbfc2097ccd86b62fa5eeac9168911b..e88b290dd3159ae6487327f0c95f0d84b92a3db5 100644 GIT binary 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1.588035670532733E-4; 0.05199218680158828; 0.052034663197356106; 1.571323212756488E-4; 0.06493001147671149; 0.06479404436115632; 1.6575577711693497E-4; 0.0650528334253961; 0.06493511008835558 +9.3021026E7; 1.657759683936008E-4; 0.06505284432554591; 0.06493511008835558; 1.5885980236805074E-4; 0.05199221169931653; 0.052034663197356106; 1.5715440138047072E-4; 0.06493002350417325; 0.06479404436115632; 1.657759683936008E-4; 0.06505284432554591; 0.06493511008835558 9.7672077E7; 9.080321060310556E-5; 0.06505895883349706; 0.06493511008835558; 1.351293261680413E-4; 0.051952186786069804; 0.052034663197356106; 9.144391573377628E-5; 0.06493329004664602; 0.06479404436115632; 9.080321060310556E-5; 0.06505895883349706; 0.06493511008835558 -1.0255568E8; 6.450866381304042E-5; 0.06504844282099781; 0.06493511008835558; 6.573807736204571E-5; 0.051914965593745664; 0.052034663197356106; 6.313750424497511E-5; 0.06492317764480944; 0.06479404436115632; 6.450866381304042E-5; 0.06504844282099781; 0.06493511008835558 +1.0255568E8; 6.455548905600463E-5; 0.06504840662763477; 0.06493511008835558; 6.584219417643692E-5; 0.051914927623105275; 0.052034663197356106; 6.318669239078746E-5; 0.06492314064226015; 0.06479404436115632; 6.455548905600463E-5; 0.06504840662763477; 0.06493511008835558 1.07683463E8; -2.062375503598074E-5; 0.06504855866726779; 0.06493511008835558; 2.0312842251745623E-5; 0.05193705974697479; 0.052034663197356106; -1.0602184165956747E-5; 0.06491908152832686; 0.06479404436115632; -2.062375503598074E-5; 0.06504855866726779; 0.06493511008835558 1.13067636E8; -1.251646735845457E-4; 0.06501484491690122; 0.06493511008835558; -4.7426635898012926E-5; 0.05185885012080371; 0.052034663197356106; -1.10680059467393E-4; 0.06487822878806078; 0.06479404436115632; -1.251646735845457E-4; 0.06501484491690122; 0.06493511008835558 1.18721017E8; -2.2077267137602638E-4; 0.06506116296635761; 0.06493511008835558; -7.524831480001468E-5; 0.051881169534468106; 0.052034663197356106; -2.0471784812919254E-4; 0.06491716605813229; 0.06479404436115632; -2.2077267137602638E-4; 0.06506116296635761; 0.06493511008835558 -1.24657067E8; -1.7438336325048583E-4; 0.06505985041848475; 0.06493511008835558; -6.225140332030663E-5; 0.05185003885329287; 0.052034663197356106; -1.6563883516533502E-4; 0.06490932967314829; 0.06479404436115632; -1.7438336325048583E-4; 0.06505985041848475; 0.06493511008835558 +1.24657067E8; -1.7436285684998325E-4; 0.06505983886448778; 0.06493511008835558; -6.219907203759466E-5; 0.051850026405783796; 0.052034663197356106; -1.656156164646379E-4; 0.06490931662764686; 0.06479404436115632; -1.7436285684998325E-4; 0.06505983886448778; 0.06493511008835558 1.3088992E8; -1.936463103935782E-4; 0.06515012792124598; 0.06493511008835558; -8.76897937673588E-5; 0.05192330737643116; 0.052034663197356106; -1.824834960101641E-4; 0.06499738054642468; 0.06479404436115632; -1.936463103935782E-4; 0.06515012792124598; 0.06493511008835558 1.37434416E8; -1.5572922921608238E-4; 0.0652027493237084; 0.06493511008835558; -1.2951858599566607E-5; 0.05200160639320669; 0.052034663197356106; -1.422337806890691E-4; 0.06505619253054083; 0.06479404436115632; -1.5572922921608238E-4; 0.0652027493237084; 0.06493511008835558 1.44306136E8; -1.0128843822152933E-4; 0.06523341315672629; 0.06493511008835558; -8.586331919294156E-6; 0.05204395765478864; 0.052034663197356106; -9.35053188120212E-5; 0.06508288675515589; 0.06479404436115632; -1.0128843822152933E-4; 0.06523341315672629; 0.06493511008835558 1.51521442E8; -2.9393728948850217E-5; 0.06518594910234231; 0.06493511008835558; 3.4677992634701508E-6; 0.052144416080723115; 0.052034663197356106; -2.4380216321384363E-5; 0.06505032423217838; 0.06479404436115632; -2.9393728948850217E-5; 0.06518594910234231; 0.06493511008835558 -1.59097514E8; -1.9824348218324867E-6; 0.06521578537222249; 0.06493511008835558; 6.768356398852977E-5; 0.052126911994972006; 0.052034663197356106; 1.364483835376878E-5; 0.06507746226675788; 0.06479404436115632; -1.9824348218324867E-6; 0.06521578537222249; 0.06493511008835558 +1.59097514E8; -1.8781093358482895E-6; 0.06521592602914758; 0.06493511008835558; 6.780259725120997E-5; 0.052127008101737725; 0.052034663197356106; 1.3755231064734666E-5; 0.06507760848497564; 0.06479404436115632; -1.8781093358482895E-6; 0.06521592602914758; 0.06493511008835558 1.67052389E8; 5.280184044844595E-6; 0.06518049067588802; 0.06493511008835558; 7.777245711037576E-5; 0.052123459412344995; 0.052034663197356106; 2.35016127833911E-5; 0.06504797484561337; 0.06479404436115632; 5.280184044844595E-6; 0.06518049067588802; 0.06493511008835558 1.75405008E8; 9.266252702818708E-5; 0.06520581378624153; 0.06493511008835558; 1.0050074991395642E-4; 0.05210946964487494; 0.052034663197356106; 1.0296390407572887E-4; 0.06507072559278593; 0.06479404436115632; 9.266252702818708E-5; 0.06520581378624153; 0.06493511008835558 1.84175258E8; 1.0805362675597467E-4; 0.06518372019233971; 0.06493511008835558; 1.0066773279241295E-4; 0.052154977885309296; 0.052034663197356106; 1.1638406142364715E-4; 0.06505457309755633; 0.06479404436115632; 1.0805362675597467E-4; 0.06518372019233971; 0.06493511008835558 @@ -372,7 +372,7 @@ distinct count; relative bias default; relative rmse default; theoretical relati 3.00002079E8; 3.288715580602563E-4; 0.06530203092645694; 0.06493511008835558; 2.1496041456147365E-4; 0.052078879379630974; 0.052034663197356106; 3.3261921409992034E-4; 0.06514333102538673; 0.06479404436115632; 3.288715580602563E-4; 0.06530203092645694; 0.06493511008835558 3.15002182E8; 3.2165775504083984E-4; 0.06531797652854596; 0.06493511008835558; 1.8091240047610408E-4; 0.052065089271591015; 0.052034663197356106; 3.227746070358941E-4; 0.0651549521572353; 0.06479404436115632; 3.2165775504083984E-4; 0.06531797652854596; 0.06493511008835558 3.30752291E8; 3.256019018205654E-4; 0.06526582721367524; 0.06493511008835558; 1.4431199436080278E-4; 0.052106703619043994; 0.052034663197356106; 3.1745477819043803E-4; 0.06511911902612673; 0.06479404436115632; 3.256019018205654E-4; 0.06526582721367524; 0.06493511008835558 -3.47289905E8; 2.895401026870347E-4; 0.06511794895474089; 0.06493511008835558; 1.2855803280096883E-4; 0.05199526162001465; 0.052034663197356106; 2.7830592777462125E-4; 0.06496510980140796; 0.06479404436115632; 2.895401026870347E-4; 0.06511794895474089; 0.06493511008835558 +3.47289905E8; 2.8970036066251233E-4; 0.06511811441922508; 0.06493511008835558; 1.2861563370984775E-4; 0.051995264371846026; 0.052034663197356106; 2.7843597698545125E-4; 0.06496523467258825; 0.06479404436115632; 2.8970036066251233E-4; 0.06511811441922508; 0.06493511008835558 3.646544E8; 3.587398200788744E-4; 0.06510081195668177; 0.06493511008835558; 1.8944679633509163E-4; 0.051988015071375966; 0.052034663197356106; 3.52203352117538E-4; 0.06494996047908752; 0.06479404436115632; 3.587398200788744E-4; 0.06510081195668177; 0.06493511008835558 3.82887119E8; 3.4119782050341056E-4; 0.06521230757609003; 0.06493511008835558; 2.016833977537349E-4; 0.052083282599260185; 0.052034663197356106; 3.403983440768013E-4; 0.06506821463410792; 0.06479404436115632; 3.4119782050341056E-4; 0.06521230757609003; 0.06493511008835558 4.02031474E8; 2.3972165429597705E-4; 0.06517899966244962; 0.06493511008835558; 8.752812413522488E-5; 0.0520092765908862; 0.052034663197356106; 2.3391141125960363E-4; 0.06503786695122435; 0.06479404436115632; 2.3972165429597705E-4; 0.06517899966244962; 0.06493511008835558 @@ -384,7 +384,7 @@ distinct count; relative bias default; relative rmse default; theoretical relati 5.38760622E8; 3.4071655024218886E-5; 0.06522473471057097; 0.06493511008835558; -1.1654533459415352E-4; 0.052116347984014426; 0.052034663197356106; 4.183371359409174E-5; 0.06507425549701722; 0.06479404436115632; 3.4071655024218886E-5; 0.06522473471057097; 0.06493511008835558 5.65698653E8; -1.8119205040727375E-5; 0.06514097574168894; 0.06493511008835558; -1.478240412275626E-4; 0.052071060566422696; 0.052034663197356106; -1.699912663223172E-5; 0.06498415747373458; 0.06479404436115632; -1.8119205040727375E-5; 0.06514097574168894; 0.06493511008835558 5.93983585E8; -7.954523908718947E-5; 0.06521963111199951; 0.06493511008835558; -1.4584502697414985E-4; 0.05211172157524643; 0.052034663197356106; -7.64939712271577E-5; 0.06505262323650333; 0.06479404436115632; -7.954523908718947E-5; 0.06521963111199951; 0.06493511008835558 -6.23682764E8; -3.6567475520286214E-6; 0.0653000343478661; 0.06493511008835558; -9.78256716773523E-5; 0.05212723081534587; 0.052034663197356106; -4.352952004571713E-6; 0.06512455213519848; 0.06479404436115632; -3.6567475520286214E-6; 0.0653000343478661; 0.06493511008835558 +6.23682764E8; -3.574547061711598E-6; 0.06529994796952031; 0.06493511008835558; -9.777524624874583E-5; 0.052127215530264955; 0.052034663197356106; -4.269595995814484E-6; 0.06512447161017938; 0.06479404436115632; -3.574547061711598E-6; 0.06529994796952031; 0.06493511008835558 6.54866902E8; 2.7107780645013977E-5; 0.06536933985186584; 0.06493511008835558; -4.46059586350335E-5; 0.05212162275192237; 0.052034663197356106; 3.2052360887508365E-5; 0.06519485967176415; 0.06479404436115632; 2.7107780645013977E-5; 0.06536933985186584; 0.06493511008835558 6.87610247E8; -2.1530414317272035E-5; 0.06532465831605017; 0.06493511008835558; -1.0912396251396619E-4; 0.05211415174994783; 0.052034663197356106; -1.6336322449089687E-5; 0.06515933270152928; 0.06479404436115632; -2.1530414317272035E-5; 0.06532465831605017; 0.06493511008835558 7.21990759E8; -7.126407217952629E-5; 0.06534338716204971; 0.06493511008835558; -1.2545316303790501E-4; 0.052093185879373775; 0.052034663197356106; -6.363650280476348E-5; 0.06517713135644464; 0.06479404436115632; -7.126407217952629E-5; 0.06534338716204971; 0.06493511008835558 @@ -451,7 +451,7 @@ distinct count; relative bias default; relative rmse default; theoretical relati 1.4160509395E10; 8.36743580069394E-5; 0.06518698608609644; 0.06493511008835558; -2.7582821104098222E-5; 0.05222744490556441; 0.052034663197356106; 8.192161229568843E-5; 0.06506360921172775; 0.06479404436115632; 8.36743580069394E-5; 0.06518698608609644; 0.06493511008835558 1.4868534864E10; 1.219869634484967E-4; 0.06519270147152154; 0.06493511008835558; 2.4930529679032636E-5; 0.05229250134125732; 0.052034663197356106; 1.1952459828823128E-4; 0.06507097263823011; 0.06479404436115632; 1.219869634484967E-4; 0.06519270147152154; 0.06493511008835558 1.5611961607E10; 8.489817188325811E-5; 0.06523017538436689; 0.06493511008835558; -4.372503651960083E-6; 0.05229396335271471; 0.052034663197356106; 8.663821235993094E-5; 0.06509736690209021; 0.06479404436115632; 8.489817188325811E-5; 0.06523017538436689; 0.06493511008835558 -1.6392559687E10; 1.5471405155636375E-4; 0.06533803032741368; 0.06493511008835558; 6.585577228977663E-5; 0.05234207544523406; 0.052034663197356106; 1.5945733703825248E-4; 0.06520342283432838; 0.06479404436115632; 1.5471405155636375E-4; 0.06533803032741368; 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-382,23 +382,23 @@ distinct count; relative bias default; relative rmse default; theoretical relati 4.88671767E8; 7.317348052518616E-5; 0.016295453652237096; 0.016233777522088894; 8.664031037384331E-5; 0.013037351422342075; 0.013008665799339026; 8.36337945155743E-5; 0.01626597837747541; 0.01619851109028908; 7.317348052518616E-5; 0.016295453652237096; 0.016233777522088894 5.13105355E8; 7.244062794197539E-5; 0.01630997791857045; 0.016233777522088894; 8.641327470150551E-5; 0.013049848083055917; 0.013008665799339026; 8.122320238468836E-5; 0.016279311130954557; 0.01619851109028908; 7.244062794197539E-5; 0.01630997791857045; 0.016233777522088894 5.38760622E8; 9.828673671365292E-5; 0.01630124814292814; 0.016233777522088894; 1.0358932273570115E-4; 0.013040094829019008; 0.013008665799339026; 1.044750447886319E-4; 0.016269520869731595; 0.01619851109028908; 9.828673671365292E-5; 0.01630124814292814; 0.016233777522088894 -5.65698653E8; 1.2496843872190948E-4; 0.016307497998407687; 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1.124199224376614E-4; 0.016297188463482232; 0.016233777522088894 6.54866902E8; 1.2011896439562714E-4; 0.01625641962604843; 0.016233777522088894; 8.43977363243106E-5; 0.013018523748982424; 0.013008665799339026; 1.1082993346381827E-4; 0.016223739214373926; 0.01619851109028908; 1.2011896439562714E-4; 0.01625641962604843; 0.016233777522088894 6.87610247E8; 1.4799987137929582E-4; 0.016261175666292253; 0.016233777522088894; 9.342887848439977E-5; 0.013022632736169324; 0.013008665799339026; 1.374777181399851E-4; 0.016228417908783856; 0.01619851109028908; 1.4799987137929582E-4; 0.016261175666292253; 0.016233777522088894 7.21990759E8; 1.5052783340950736E-4; 0.016250368455638823; 0.016233777522088894; 1.0290742238800037E-4; 0.013026461116801231; 0.013008665799339026; 1.40390302557433E-4; 0.016220710025227115; 0.01619851109028908; 1.5052783340950736E-4; 0.016250368455638823; 0.016233777522088894 -7.58090296E8; 1.3049631544357468E-4; 0.016242299957203072; 0.016233777522088894; 9.687565775074194E-5; 0.013033206199123246; 0.013008665799339026; 1.247122988866763E-4; 0.016211552145315986; 0.01619851109028908; 1.3049631544357468E-4; 0.016242299957203072; 0.016233777522088894 +7.58090296E8; 1.3050047908448007E-4; 0.016242299368868347; 0.016233777522088894; 9.687903467583895E-5; 0.01303320488286209; 0.013008665799339026; 1.247167319191073E-4; 0.016211551621653084; 0.01619851109028908; 1.3050047908448007E-4; 0.016242299368868347; 0.016233777522088894 7.9599481E8; 1.3382172884947153E-4; 0.016242123175841276; 0.016233777522088894; 1.0440494177983084E-4; 0.013033476342935234; 0.013008665799339026; 1.3207137213888068E-4; 0.016210633980248124; 0.01619851109028908; 1.3382172884947153E-4; 0.016242123175841276; 0.016233777522088894 8.3579455E8; 1.0726878399577291E-4; 0.016231209769059403; 0.016233777522088894; 8.495010518992852E-5; 0.013017187263098483; 0.013008665799339026; 1.0977302285382524E-4; 0.01619839999910164; 0.01619851109028908; 1.0726878399577291E-4; 0.016231209769059403; 0.016233777522088894 8.77584277E8; 6.348922750828242E-5; 0.016219026356192823; 0.016233777522088894; 5.715277590235518E-5; 0.013001225810262524; 0.013008665799339026; 6.975224170327639E-5; 0.016186078191536436; 0.01619851109028908; 6.348922750828242E-5; 0.016219026356192823; 0.016233777522088894 9.2146349E8; 6.21114040402129E-5; 0.016242013431576177; 0.016233777522088894; 5.0423291165609996E-5; 0.013015073183039145; 0.013008665799339026; 7.124169261956702E-5; 0.016205293718346333; 0.01619851109028908; 6.21114040402129E-5; 0.016242013431576177; 0.016233777522088894 9.67536664E8; 3.590360967249001E-5; 0.0162282899706953; 0.016233777522088894; 3.71275258094409E-5; 0.01300437625217305; 0.013008665799339026; 4.7618015768879235E-5; 0.01619129025297689; 0.01619851109028908; 3.590360967249001E-5; 0.0162282899706953; 0.016233777522088894 -1.015913497E9; 4.090790579622032E-5; 0.01622655060912778; 0.016233777522088894; 3.430473202189395E-5; 0.01301040155981814; 0.013008665799339026; 5.20523808547672E-5; 0.016189554143036685; 0.01619851109028908; 4.090790579622032E-5; 0.01622655060912778; 0.016233777522088894 -1.066709171E9; 2.883073986457472E-5; 0.016226214623354173; 0.016233777522088894; 2.3715227606010664E-5; 0.013002947907500973; 0.013008665799339026; 3.902003070412744E-5; 0.016187454750347628; 0.01619851109028908; 2.883073986457472E-5; 0.016226214623354173; 0.016233777522088894 +1.015913497E9; 4.091275214930543E-5; 0.016226551903790676; 0.016233777522088894; 3.430813127619773E-5; 0.013010402387562207; 0.013008665799339026; 5.2057323578799395E-5; 0.01618955569089415; 0.01619851109028908; 4.091275214930543E-5; 0.016226551903790676; 0.016233777522088894 +1.066709171E9; 2.8831459663087804E-5; 0.01622621414116011; 0.016233777522088894; 2.3718576084652E-5; 0.013002944262775035; 0.013008665799339026; 3.9020851646485514E-5; 0.016187454126197175; 0.01619851109028908; 2.8831459663087804E-5; 0.01622621414116011; 0.016233777522088894 1.120044629E9; 2.2892059069707086E-5; 0.016236019841582718; 0.016233777522088894; 4.173538582816093E-6; 0.012999236853927076; 0.013008665799339026; 2.835051409789026E-5; 0.016194832254334296; 0.01619851109028908; 2.2892059069707086E-5; 0.016236019841582718; 0.016233777522088894 1.17604686E9; 2.0686706662285374E-5; 0.016199185306288985; 0.016233777522088894; -1.1293224436412823E-5; 0.012973714959285986; 0.013008665799339026; 2.0645213462106233E-5; 0.016160105258081; 0.01619851109028908; 2.0686706662285374E-5; 0.016199185306288985; 0.016233777522088894 -1.234849203E9; 3.183430514147395E-5; 0.016203788898056157; 0.016233777522088894; 2.193370648715198E-6; 0.012967220410506698; 0.013008665799339026; 2.988393632971108E-5; 0.0161618185975196; 0.01619851109028908; 3.183430514147395E-5; 0.016203788898056157; 0.016233777522088894 +1.234849203E9; 3.18352587014976E-5; 0.01620378829707779; 0.016233777522088894; 2.196721313941546E-6; 0.012967219404075258; 0.013008665799339026; 2.9884998084161638E-5; 0.016161818057341563; 0.01619851109028908; 3.18352587014976E-5; 0.01620378829707779; 0.016233777522088894 1.296591663E9; 3.75699515429039E-5; 0.016201192513520132; 0.016233777522088894; 1.3598986690888071E-5; 0.012967607427268093; 0.013008665799339026; 3.183886979272466E-5; 0.016161562323694093; 0.01619851109028908; 3.75699515429039E-5; 0.016201192513520132; 0.016233777522088894 1.361421246E9; 6.193450582855456E-5; 0.016231371563693763; 0.016233777522088894; 1.911287703960231E-5; 0.012981201498535058; 0.013008665799339026; 5.350912638423553E-5; 0.016189974462010655; 0.01619851109028908; 6.193450582855456E-5; 0.016231371563693763; 0.016233777522088894 1.429492308E9; 5.771265073638333E-5; 0.01621489194882437; 0.016233777522088894; 2.7867247080251444E-5; 0.012965666832400337; 0.013008665799339026; 5.2904853193360085E-5; 0.016173141994123008; 0.01619851109028908; 5.771265073638333E-5; 0.01621489194882437; 0.016233777522088894 @@ -409,14 +409,14 @@ distinct count; relative bias default; relative rmse default; theoretical relati 1.824434674E9; 1.6235316085519816E-6; 0.016245372904993935; 0.016233777522088894; 5.429658560055758E-6; 0.013008908265875202; 0.013008665799339026; 1.5498720871547232E-5; 0.016202921630035325; 0.01619851109028908; 1.6235316085519816E-6; 0.016245372904993935; 0.016233777522088894 1.915656407E9; 4.399152841103528E-6; 0.01624337536909924; 0.016233777522088894; -4.345107597484917E-6; 0.013008425674484922; 0.013008665799339026; 1.957304020519459E-5; 0.016200398981247872; 0.01619851109028908; 4.399152841103528E-6; 0.01624337536909924; 0.016233777522088894 2.011439227E9; -9.811089732902733E-6; 0.016274267609528797; 0.016233777522088894; -2.2298036403017935E-6; 0.013019304754260037; 0.013008665799339026; 5.578211298121591E-6; 0.016228491655525503; 0.01619851109028908; -9.811089732902733E-6; 0.016274267609528797; 0.016233777522088894 -2.112011188E9; -5.383580471713099E-6; 0.016274227316762504; 0.016233777522088894; -4.629964570578138E-6; 0.013024655850962966; 0.013008665799339026; 7.965031021844863E-6; 0.016232259018819056; 0.01619851109028908; -5.383580471713099E-6; 0.016274227316762504; 0.016233777522088894 +2.112011188E9; -5.378626410413231E-6; 0.01627422609045033; 0.016233777522088894; -4.626593647473931E-6; 0.013024652698944804; 0.013008665799339026; 7.970066228490252E-6; 0.016232257945692156; 0.01619851109028908; -5.378626410413231E-6; 0.01627422609045033; 0.016233777522088894 2.217611747E9; 3.1374603339869115E-5; 0.016258089747309263; 0.016233777522088894; -5.721674233311844E-6; 0.013026669627721942; 0.013008665799339026; 3.881375479840369E-5; 0.01621491356059851; 0.01619851109028908; 3.1374603339869115E-5; 0.016258089747309263; 0.016233777522088894 2.328492334E9; 3.8152676425455175E-5; 0.016252338929197543; 0.016233777522088894; 4.21275624782893E-6; 0.01301490386169549; 0.013008665799339026; 3.9997678243395674E-5; 0.016207528449763656; 0.01619851109028908; 3.8152676425455175E-5; 0.016252338929197543; 0.016233777522088894 2.44491695E9; 2.7261771334320246E-5; 0.016265409055607347; 0.016233777522088894; 2.2759231399136875E-6; 0.013029720853476158; 0.013008665799339026; 2.6938445549336512E-5; 0.016218194726072346; 0.01619851109028908; 2.7261771334320246E-5; 0.016265409055607347; 0.016233777522088894 2.567162797E9; 4.914018752698211E-5; 0.01626150705478216; 0.016233777522088894; 2.364499968633036E-6; 0.013031038947101151; 0.013008665799339026; 4.4014309453778055E-5; 0.016217597809814598; 0.01619851109028908; 4.914018752698211E-5; 0.01626150705478216; 0.016233777522088894 -2.695520936E9; 4.029591432560617E-5; 0.016277479015507294; 0.016233777522088894; 8.581864194276142E-6; 0.013042426168806333; 0.013008665799339026; 3.488070974578592E-5; 0.01623556345136702; 0.01619851109028908; 4.029591432560617E-5; 0.016277479015507294; 0.016233777522088894 +2.695520936E9; 4.029790468271121E-5; 0.016277478968628988; 0.016233777522088894; 8.585247959133759E-6; 0.013042425540061475; 0.013008665799339026; 3.488293843392912E-5; 0.01623556333260954; 0.01619851109028908; 4.029790468271121E-5; 0.016277478968628988; 0.016233777522088894 2.830296982E9; 1.6573060172775452E-5; 0.01628011190192693; 0.016233777522088894; 2.387229738182213E-7; 0.01304060897313092; 0.013008665799339026; 1.3266849081614114E-5; 0.016239465380922014; 0.01619851109028908; 1.6573060172775452E-5; 0.01628011190192693; 0.016233777522088894 -2.971811831E9; 1.1980514549398844E-5; 0.016271525228087395; 0.016233777522088894; -2.847338358270836E-5; 0.013045955311574117; 0.013008665799339026; 9.160734618772735E-6; 0.016231878894549707; 0.01619851109028908; 1.1980514549398844E-5; 0.016271525228087395; 0.016233777522088894 +2.971811831E9; 1.1981466812411476E-5; 0.016271527638259863; 0.016233777522088894; -2.8469858922839813E-5; 0.013045959845713833; 0.013008665799339026; 9.16181115871104E-6; 0.016231881541954703; 0.01619851109028908; 1.1981466812411476E-5; 0.016271527638259863; 0.016233777522088894 3.120402422E9; -3.1507550516367534E-5; 0.016263043790412806; 0.016233777522088894; -6.454504707559334E-5; 0.013055629111567045; 0.013008665799339026; -3.082393409949542E-5; 0.016222362731717486; 0.01619851109028908; -3.1507550516367534E-5; 0.016263043790412806; 0.016233777522088894 3.276422543E9; -1.8320408591505398E-5; 0.01626183812913481; 0.016233777522088894; -4.742206890815289E-5; 0.01304606017548788; 0.013008665799339026; -1.3646128482263634E-5; 0.01622110108535649; 0.01619851109028908; -1.8320408591505398E-5; 0.01626183812913481; 0.016233777522088894 3.44024367E9; 2.3700926754145284E-6; 0.016253003358043788; 0.016233777522088894; -2.5268239848452754E-5; 0.013050996292561252; 0.013008665799339026; 8.745278910596968E-6; 0.016213412599288397; 0.01619851109028908; 2.3700926754145284E-6; 0.016253003358043788; 0.016233777522088894 @@ -425,7 +425,7 @@ distinct count; relative bias default; relative rmse default; theoretical relati 3.982512077E9; 1.8841762081105267E-5; 0.016234507146691453; 0.016233777522088894; -2.4611997686774476E-5; 0.013035330109238784; 0.013008665799339026; 2.7028287670137575E-5; 0.016190978896057917; 0.01619851109028908; 1.8841762081105267E-5; 0.016234507146691453; 0.016233777522088894 4.18163768E9; -3.014248654816748E-6; 0.016209185770716228; 0.016233777522088894; -4.6678592946843924E-5; 0.013013360514490535; 0.013008665799339026; 3.7726693161441336E-6; 0.016166500033259965; 0.01619851109028908; -3.014248654816748E-6; 0.016209185770716228; 0.016233777522088894 4.390719564E9; -1.7986625315462134E-5; 0.016213625283337973; 0.016233777522088894; -5.7061785708925196E-5; 0.013015536438318615; 0.013008665799339026; -1.5362354003201816E-5; 0.01617026433687043; 0.01619851109028908; -1.7986625315462134E-5; 0.016213625283337973; 0.016233777522088894 -4.610255542E9; -4.16707657694575E-5; 0.016217616966996938; 0.016233777522088894; -5.951423466346695E-5; 0.013026789450180475; 0.013008665799339026; -4.028217618843932E-5; 0.016176924900450616; 0.01619851109028908; -4.16707657694575E-5; 0.016217616966996938; 0.016233777522088894 +4.610255542E9; -4.166978895632198E-5; 0.016217619191171814; 0.016233777522088894; -5.951072441636452E-5; 0.013026795276592678; 0.013008665799339026; -4.028109157006444E-5; 0.01617692741622295; 0.01619851109028908; -4.166978895632198E-5; 0.016217619191171814; 0.016233777522088894 4.840768319E9; -5.798387615992282E-5; 0.01620781072024029; 0.016233777522088894; -5.935202580956588E-5; 0.0130257774611807; 0.013008665799339026; -6.036821122411472E-5; 0.016169832930507513; 0.01619851109028908; -5.798387615992282E-5; 0.01620781072024029; 0.016233777522088894 5.082806734E9; -7.768601245072482E-5; 0.016224318019408875; 0.016233777522088894; -6.843115151291882E-5; 0.013022135710541276; 0.013008665799339026; -8.151375185395459E-5; 0.01618587108324995; 0.01619851109028908; -7.768601245072482E-5; 0.016224318019408875; 0.016233777522088894 5.33694707E9; -6.016996499429185E-5; 0.016214707223242305; 0.016233777522088894; -6.552810196228122E-5; 0.013001913014117888; 0.013008665799339026; -6.84664194310802E-5; 0.01617658712656048; 0.01619851109028908; -6.016996499429185E-5; 0.016214707223242305; 0.016233777522088894 @@ -453,7 +453,7 @@ distinct count; relative bias default; relative rmse default; theoretical relati 1.5611961607E10; -4.120877899299553E-5; 0.016245168807874605; 0.016233777522088894; -1.7560000970319404E-5; 0.0130322894512735; 0.013008665799339026; -3.403343404200735E-5; 0.016204105416475777; 0.01619851109028908; -4.120877899299553E-5; 0.016245168807874605; 0.016233777522088894 1.6392559687E10; -2.6208695722549616E-5; 0.01624093123941697; 0.016233777522088894; -8.038842790170838E-6; 0.01303038984822779; 0.013008665799339026; -1.9860280186911805E-5; 0.016198049371433116; 0.01619851109028908; -2.6208695722549616E-5; 0.01624093123941697; 0.016233777522088894 1.7212187671E10; -7.754245939697555E-6; 0.016251270085057615; 0.016233777522088894; 3.605997086020689E-6; 0.013025703469945672; 0.013008665799339026; -3.3968737077021302E-6; 0.01620902422928104; 0.01619851109028908; -7.754245939697555E-6; 0.016251270085057615; 0.016233777522088894 -1.8072797054E10; -4.0227663370843974E-5; 0.01624796049602291; 0.016233777522088894; -2.2576030345364912E-5; 0.013011911281200496; 0.013008665799339026; -3.927890685828987E-5; 0.01620758764819673; 0.01619851109028908; -4.0227663370843974E-5; 0.01624796049602291; 0.016233777522088894 +1.8072797054E10; -4.022499096254071E-5; 0.016247960538841387; 0.016233777522088894; -2.257264451674051E-5; 0.013011913042402973; 0.013008665799339026; -3.927601960434136E-5; 0.016207587745939955; 0.01619851109028908; -4.022499096254071E-5; 0.016247960538841387; 0.016233777522088894 1.8976436906E10; -2.3996967131743392E-5; 0.016247727794976814; 0.016233777522088894; -1.1922409948130908E-5; 0.013021378417746069; 0.013008665799339026; -2.787126253756492E-5; 0.016211472391995392; 0.01619851109028908; -2.3996967131743392E-5; 0.016247727794976814; 0.016233777522088894 1.9925258751E10; -1.6206435463941182E-5; 0.0162474794398153; 0.016233777522088894; -2.0881888639548896E-6; 0.013024720409617788; 0.013008665799339026; -2.1505080597784457E-5; 0.016211168015186968; 0.01619851109028908; -1.6206435463941182E-5; 0.0162474794398153; 0.016233777522088894 2.0921521688E10; -2.4820582047425373E-5; 0.01624775989589877; 0.016233777522088894; -1.6222594635154604E-5; 0.013032968453191867; 0.013008665799339026; -3.410208456522747E-5; 0.01621386062646335; 0.01619851109028908; -2.4820582047425373E-5; 0.01624775989589877; 0.016233777522088894 @@ -477,7 +477,7 @@ distinct count; relative bias default; relative rmse default; theoretical relati 5.035013648E10; -2.3065726565879574E-5; 0.01622598111768061; 0.016233777522088894; 1.3802767967006132E-5; 0.01302217713096773; 0.013008665799339026; -2.8005937936570446E-5; 0.016191403553013965; 0.01619851109028908; -2.3065726565879574E-5; 0.01622598111768061; 0.016233777522088894 5.2867643303E10; -2.261983194457573E-5; 0.01626243455547841; 0.016233777522088894; 1.3523118348721327E-5; 0.013036788999374244; 0.013008665799339026; -2.4355634448918044E-5; 0.0162242452431209; 0.01619851109028908; -2.261983194457573E-5; 0.01626243455547841; 0.016233777522088894 5.5511025468E10; -1.4947372986830868E-5; 0.016240922723705004; 0.016233777522088894; 1.8975972098753372E-5; 0.013026467683233393; 0.013008665799339026; -1.4899256915396652E-5; 0.016204648122272642; 0.01619851109028908; -1.4947372986830868E-5; 0.016240922723705004; 0.016233777522088894 -5.8286576741E10; -2.1722132168436043E-5; 0.0162498620679801; 0.016233777522088894; 8.327082261621563E-6; 0.01303359872690962; 0.013008665799339026; -2.046986635837969E-5; 0.01621172563968044; 0.01619851109028908; -2.1722132168436043E-5; 0.0162498620679801; 0.016233777522088894 +5.8286576741E10; -2.1716492809853777E-5; 0.01624986027759718; 0.016233777522088894; 8.330449241412425E-6; 0.013033596922962952; 0.013008665799339026; -2.0463924615573295E-5; 0.01621172317646394; 0.01619851109028908; -2.1716492809853777E-5; 0.01624986027759718; 0.016233777522088894 6.1200905578E10; -4.4509525362014604E-5; 0.016254703796826905; 0.016233777522088894; -1.3579833240985805E-5; 0.013031063559185313; 0.013008665799339026; -4.142907767493348E-5; 0.01621624157902894; 0.01619851109028908; -4.4509525362014604E-5; 0.016254703796826905; 0.016233777522088894 6.4260950856E10; -3.042145864432344E-5; 0.01628097197623684; 0.016233777522088894; -8.556396429786509E-6; 0.013054721146452715; 0.013008665799339026; -2.750663124828334E-5; 0.016240458505903034; 0.01619851109028908; -3.042145864432344E-5; 0.01628097197623684; 0.016233777522088894 6.7473998398E10; -3.061298878019641E-5; 0.016282435298753013; 0.016233777522088894; -1.4680068325341299E-5; 0.013045818413063272; 0.013008665799339026; -2.967927389289203E-5; 0.01624347477585063; 0.01619851109028908; -3.061298878019641E-5; 0.016282435298753013; 0.016233777522088894 diff --git 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0.18326523259310246; 3.2285715556217953E-4; 0.1897799613455827; 0.18366422672228488 +2.4915531E7; 3.229598476527014E-4; 0.18977984550194393; 0.18366422672228488; -6.040994800135786E-4; 0.14944320352212134; 0.14717625281443433; 2.881946433360495E-4; 0.1894101697014702; 0.18326523259310246; 3.229598476527014E-4; 0.18977984550194393; 0.18366422672228488 2.6161307E7; 2.1567873820152464E-4; 0.18947494527274483; 0.18366422672228488; -7.143618970714272E-4; 0.14933974321818738; 0.14717625281443433; 1.849115459614534E-4; 0.18913569277252437; 0.18326523259310246; 2.1567873820152464E-4; 0.18947494527274483; 0.18366422672228488 2.7469372E7; 1.9811665454962506E-4; 0.18934648778029342; 0.18366422672228488; -6.774863298959715E-4; 0.14938582195597183; 0.14717625281443433; 1.7208335527442578E-4; 0.1890407518888329; 0.18326523259310246; 1.9811665454962506E-4; 0.18934648778029342; 0.18366422672228488 2.884284E7; 3.2587656496897434E-4; 0.18926325146023495; 0.18366422672228488; -5.344750235158765E-4; 0.14945313497428386; 0.14717625281443433; 2.9585244514018197E-4; 0.18892231440558888; 0.18326523259310246; 3.2587656496897434E-4; 0.18926325146023495; 0.18366422672228488 @@ -329,7 +329,7 @@ distinct count; relative bias default; relative rmse default; theoretical relati 3.6811583E7; 4.3899368502183856E-4; 0.1893304439472311; 0.18366422672228488; -4.868788926066485E-4; 0.14973535902769697; 0.14717625281443433; 3.8485209186614315E-4; 0.18902219317421695; 0.18326523259310246; 4.3899368502183856E-4; 0.1893304439472311; 0.18366422672228488 3.8652162E7; 4.916077164521579E-4; 0.18914429207339878; 0.18366422672228488; -4.2939481353625295E-4; 0.1497049406050113; 0.14717625281443433; 4.514906933462986E-4; 0.18887818241159518; 0.18326523259310246; 4.916077164521579E-4; 0.18914429207339878; 0.18366422672228488 4.058477E7; 4.157371157317932E-4; 0.18914919025498092; 0.18366422672228488; -2.607501994831424E-4; 0.14980003339794568; 0.14717625281443433; 3.9672880857543604E-4; 0.1888660610981958; 0.18326523259310246; 4.157371157317932E-4; 0.18914919025498092; 0.18366422672228488 -4.2614008E7; 1.8918455104637258E-4; 0.1889454999575997; 0.18366422672228488; -3.732263396216898E-4; 0.14987021174613427; 0.14717625281443433; 1.7368974767641303E-4; 0.1886743739655546; 0.18326523259310246; 1.8918455104637258E-4; 0.1889454999575997; 0.18366422672228488 +4.2614008E7; 1.8930308103370656E-4; 0.1889454454126184; 0.18366422672228488; -3.728201014640786E-4; 0.14987032705242895; 0.14717625281443433; 1.7382127976271752E-4; 0.18867431449399902; 0.18326523259310246; 1.8930308103370656E-4; 0.1889454454126184; 0.18366422672228488 4.4744708E7; 1.2845628026246983E-4; 0.18908550552869227; 0.18366422672228488; -3.0648968545952883E-4; 0.15009375600159644; 0.14717625281443433; 1.1336372891646362E-4; 0.18880330995964395; 0.18326523259310246; 1.2845628026246983E-4; 0.18908550552869227; 0.18366422672228488 4.6981943E7; 1.1239885948482708E-4; 0.18931907761289526; 0.18366422672228488; -3.5472363335680346E-4; 0.1500222711746933; 0.14717625281443433; 1.0915917216232795E-4; 0.1890380931009334; 0.18326523259310246; 1.1239885948482708E-4; 0.18931907761289526; 0.18366422672228488 4.933104E7; 1.9207310365502203E-4; 0.18939485712679915; 0.18366422672228488; -1.5473095194696524E-4; 0.15009614688813494; 0.14717625281443433; 1.9932074702253645E-4; 0.189123446187855; 0.18326523259310246; 1.9207310365502203E-4; 0.18939485712679915; 0.18366422672228488 @@ -351,10 +351,10 @@ distinct count; relative bias default; relative rmse default; theoretical relati 1.07683463E8; 0.001344550418790009; 0.19036448679942292; 0.18366422672228488; 3.3814875395659787E-4; 0.15041133975030535; 0.14717625281443433; 0.0012510796005470626; 0.18994532194351618; 0.18326523259310246; 0.001344550418790009; 0.19036448679942292; 0.18366422672228488 1.13067636E8; 0.0015404868614170813; 0.19039085405679104; 0.18366422672228488; 4.291987763489951E-4; 0.15048959562127817; 0.14717625281443433; 0.0014370669803804882; 0.19000263610625412; 0.18326523259310246; 0.0015404868614170813; 0.19039085405679104; 0.18366422672228488 1.18721017E8; 0.0012452932761167193; 0.18993246669466587; 0.18366422672228488; 3.6406463368784833E-4; 0.15024676228677805; 0.14717625281443433; 0.0011562440576272435; 0.18955162496217867; 0.18326523259310246; 0.0012452932761167193; 0.18993246669466587; 0.18366422672228488 -1.24657067E8; 9.413823729629259E-4; 0.19006296773132925; 0.18366422672228488; 1.0180925370566114E-4; 0.14998973272098043; 0.14717625281443433; 8.320074794287364E-4; 0.18964850630053975; 0.18326523259310246; 9.413823729629259E-4; 0.19006296773132925; 0.18366422672228488 +1.24657067E8; 9.417887825324952E-4; 0.19006242781965754; 0.18366422672228488; 1.0213490835969263E-4; 0.14998933578716173; 0.14717625281443433; 8.324175198995851E-4; 0.18964793050593604; 0.18326523259310246; 9.417887825324952E-4; 0.19006242781965754; 0.18366422672228488 1.3088992E8; 0.0011802643049440582; 0.19001156898941898; 0.18366422672228488; 3.50619505636387E-4; 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