{"credit":"Taylor (gtmcknight), github.com/gtmcknight/amm-sim@4812a6382311624e1506aca131ca35c378f930d9 research/solved","gain_vs_base":0.00620121374,"se":0.00225921834,"n":512,"seeds":[64000,64511],"selected_probe":{"group":"t0_l1_r2_c1","sign":"plus","delta_millibps":1000,"delta_bps":1.0,"table":0,"level":1,"rows":[19,23],"columns":[1,1],"rule":"tested signed probe maximizing mean-SE within this item","label":"SELECTION-SET figure (seeds 64000..64511, max over this item's signed probes); biased upward, not a report-set or engine result"},"advance":true,"source_sha256":"e183e5bc3fb794b7067703b10a7da9920267aa5f4caa968e16ca101b02338f40","measurement_role":"choose_diagnostic","item":"t3-map/t0","table":0,"level_knot_indices":[0,1],"figures_label":"All gains are SELECTION-SET (choose-side) replica figures on seeds 64000..64511, paired against unchanged QLX5; diagnostic probes, not promoted contracts.","seeds_format":"[first,last] inclusive; every probe starts at 64000","units":{"gain":"edge (candidate minus QLX5, mean over paired seeds)","gradient":"edge per bps","curvature":"edge per bps squared","delta":"millibps; 1000 = 1 bps uniform on every stored node of the group"},"baseline":{"policy":"unchanged QLX5 (harness original binary)","mean_edge":535.21912578,"se":3.9383765,"n":512,"seeds":[64000,64511]},"harness_result_sha256":"9ad960e6c7e11509b81f2852f7f34d395425adc226141b0bc828ed6f5f344663","verification":{"harness_result_sha256_matches_stage_input":true,"implementation_sha256":"4d4894474104eac9148e52b18d679b994ce73c6a889bafa18169c8dacca22855","implementation_sha256_verified":true,"dependency_sha256":"a992fd6855d568b6fbb163423e9dd6ea7c4709b7475d343079c667edeceb9c00","dependency_sha256_verified":true,"base_artifact_sha256":"1ef80bfb6d6791b877b1f4048a5e63cf2ae54153e6e8763ae3f8ab13132dfb15","qlx5_source_sha256_recomputed":"e183e5bc3fb794b7067703b10a7da9920267aa5f4caa968e16ca101b02338f40","qlx5_source_sha256_verified":true,"qpl1_bytes_sha256":"830868f9b3e5ad162c4f2070e6faed0782c7b4cc308ab69044b2cf7306f68099","qpl1_hex_found_in_qlx5_solidity":true,"harness_validate_py_rerun":"PASS; parity mean_error/se/max_abs_error identical to the handed result (512 seeds 10010512..10011023 against archived engine rows; no engine run here)","zero_delta_overlay_equals_original_512":true,"profile_instrumentation_edges_equal_128":true},"method":{"visits":"Harness overlay binary with profiling on 64000..64127: abs_weight per stored node of table 0 (absolute net continuous interpolation coefficients through active n>0 clamps).","bands":"Per level, row marginal = sum over columns and column marginal = sum over rows of that level's node weights. Up to 3 row and 6 column bands: for q=j/K (j=1..K-1) cut after the index whose cumulative share is nearest q (ties to lower index; \"before first\" has share 0); cuts before the first or after the last index dropped, repeated cuts collapsed. Group = row band x column band; zero-weight groups skipped. Indices are stored knot positions (level,row,column), inclusive bounds.","frozen":"Groups, bounds, masses, delta files and hashes were written (frozen_groups_sha256) before any probe was run.","probes":"Each group separately: +1000 and -1000 millibps on all its nodes via the harness delta file; no other level, table, constant or logic changed. Raw perturbation run unclipped; qpl1_encodable is qpl.apply(quantize=False)+qpl.encode success on the decoded production QPL1 model.","early_stop":"Harness score.py CLI (--bar 0) after 128 and 256 paired seeds; a signed probe is retired when mean+2*SE<0 (strict), else it finishes 512.","derivatives":"Only seeds evaluated in BOTH signs (common_n prefix from 64000). Per seed g_s=(plus_s-minus_s)/2, c_s=plus_s+minus_s; gradient/curvature are their means, SE = sample stdev/sqrt(common_n); z=gradient/gradient_se (null when SE is 0 or undefined).","prediction":"QUADRATIC MODEL PREDICTION, not a measurement: only when curvature<0, step=clip(-gradient/curvature,-2,+2) bps and predicted_gain=gradient*step+0.5*curvature*step^2; otherwise null.","checks_format":"per signed probe: [paired_n, mean, se, early_stop] at the 128 and 256 interim looks that were reached","mass":"group abs_weight / table-0 total abs_weight (both levels); mass_within_level divides by the level total"},"frozen_groups_sha256":"bbe178284a18266fcd81aac51b85b9a5f8a3b6068fc9582c49b326682d97bd01","table_use":{"table":0,"seeds":[64000,64127],"n":128,"lookups":977024,"abs_weight":591088.147558,"nonzero_nodes":320,"matches_harness_table_use":true,"levels":[{"level":0,"abs_weight":589778.5195637,"share_of_table":0.997784378,"row_marginal":[2497.6057,8279.3342,7487.1395,3880.0711,5628.5255,3159.2157,6030.9426,10479.725,15917.776,28031.676,35799.76,39506.995,50402.878,72021.698,92480.824,42139.396,34843.185,19771.243,9450.1364,17992.371,31221.466,52756.555,0.0,0.0],"column_marginal":[398980.76,56073.854,22659.897,5458.1922,1622.7039,1021.8358,647.91846,430.10321,437.96827,3505.3287,98939.958],"row_bands":[[0,12,0.368107073],[13,14,0.278922539],[15,23,0.352970388]],"column_bands":[[0,0,0.676492524],[1,9,0.155749656],[10,10,0.167757819]],"zero_weight_groups_skipped":[{"rows":[13,14],"columns":[10,10]}]},{"level":1,"abs_weight":1309.627994282,"share_of_table":0.00221562215,"row_marginal":[0.0,0.0,0.0,0.065868569,0.25927688,0.011150014,0.0031768392,0.44255297,1.0031253,2.5646535,4.3244223,6.0499427,10.932247,14.84394,35.330705,47.2864,123.19733,135.23926,322.31841,392.82888,146.37014,66.556511,0.0,0.0],"column_marginal":[630.09691,46.307896,21.733258,3.1888577,1.9693159,1.5555147,3.1794916,8.1329034,16.518022,33.184118,543.76171],"row_bands":[[0,17,0.291345366],[18,18,0.246114477],[19,23,0.462540156]],"column_bands":[[0,0,0.481126632],[1,1,0.0353595803],[2,9,0.0683106045],[10,10,0.415203183]],"zero_weight_groups_skipped":[]}]},"groups":[{"id":"t0_l0_r0_c0","level":0,"rows":[0,12],"columns":[0,0],"nodes":13,"visited_nodes":13,"mass":0.256517849,"mass_within_level":0.257087457,"plus":{"delta_millibps":1000,"gain":-0.0193279259,"se":0.00822783901,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,-0.0184864,0.0166891,false],[256,-0.0230516,0.0124577,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"minus":{"delta_millibps":-1000,"gain":-0.0169595967,"se":0.00872269848,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,-0.028955,0.0168447,false],[256,-0.00912004,0.0115902,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"common_n":512,"common_seeds":[64000,64511],"gradient":-0.00118416461,"gradient_se":0.00595030235,"gradient_z":-0.199009,"curvature":-0.0362875226,"curvature_se":0.0120806132,"predicted_step_bps":-0.0326328315,"predicted_step_clipped":false,"predicted_gain":1.93213221e-05},{"id":"t0_l0_r0_c1","level":0,"rows":[0,12],"columns":[1,9],"nodes":117,"visited_nodes":115,"mass":0.110054456,"mass_within_level":0.110298836,"plus":{"delta_millibps":1000,"gain":-0.0195382391,"se":0.0068501371,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,-0.0192629,0.0132626,false],[256,-0.017137,0.00970799,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"minus":{"delta_millibps":-1000,"gain":-0.00356342894,"se":0.0067716907,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,-0.0237977,0.0127194,false],[256,-0.00804458,0.0094401,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"common_n":512,"common_seeds":[64000,64511],"gradient":-0.0079874051,"gradient_se":0.00432239755,"gradient_z":-1.84791,"curvature":-0.0231016681,"curvature_se":0.0105274814,"predicted_step_bps":-0.345750146,"predicted_step_clipped":false,"predicted_gain":0.00138082324},{"id":"t0_l0_r0_c2","level":0,"rows":[0,12],"columns":[10,10],"nodes":13,"visited_nodes":12,"mass":0.000719182324,"mass_within_level":0.000720779299,"plus":{"delta_millibps":1000,"gain":-0.000621792077,"se":0.00353705191,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00430056,0.00739987,false],[256,0.00335394,0.00438847,false]],"qpl1_encodable":true,"nonzero_seed_diffs":465},"minus":{"delta_millibps":-1000,"gain":0.00195263375,"se":0.00389505106,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.0029111,0.00528736,false],[256,0.00141985,0.00551647,false]],"qpl1_encodable":true,"nonzero_seed_diffs":465},"common_n":512,"common_seeds":[64000,64511],"gradient":-0.00128721291,"gradient_se":0.00196013546,"gradient_z":-0.656696,"curvature":0.00133084167,"curvature_se":0.00632422279,"predicted_step_bps":null,"predicted_step_clipped":null,"predicted_gain":null},{"id":"t0_l0_r1_c0","level":0,"rows":[13,14],"columns":[0,0],"nodes":2,"visited_nodes":2,"mass":0.251742937,"mass_within_level":0.252301943,"plus":{"delta_millibps":1000,"gain":-0.00938063561,"se":0.00625969855,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,-0.0104412,0.0118277,false],[256,-0.00879572,0.00859945,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"minus":{"delta_millibps":-1000,"gain":-0.00241215756,"se":0.00672034261,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00338113,0.0119853,false],[256,-0.00356773,0.00843909,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"common_n":512,"common_seeds":[64000,64511],"gradient":-0.00348423903,"gradient_se":0.00397857795,"gradient_z":-0.87575,"curvature":-0.0117927932,"curvature_se":0.0102653462,"predicted_step_bps":-0.295454942,"predicted_step_clipped":false,"predicted_gain":0.00051471782},{"id":"t0_l0_r1_c1","level":0,"rows":[13,14],"columns":[1,9],"nodes":18,"visited_nodes":10,"mass":0.0265616149,"mass_within_level":0.0266205961,"plus":{"delta_millibps":1000,"gain":-0.00136236247,"se":0.00429912228,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00194928,0.00713297,false],[256,-0.00205297,0.00596531,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"minus":{"delta_millibps":-1000,"gain":-0.00065872964,"se":0.0043165939,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00195418,0.00778977,false],[256,-0.000430514,0.00573743,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"common_n":512,"common_seeds":[64000,64511],"gradient":-0.000351816413,"gradient_se":0.00208936793,"gradient_z":-0.168384,"curvature":-0.00202109211,"curvature_se":0.00753452302,"predicted_step_bps":-0.174072429,"predicted_step_clipped":false,"predicted_gain":3.06207688e-05},{"id":"t0_l0_r2_c0","level":0,"rows":[15,23],"columns":[0,0],"nodes":9,"visited_nodes":6,"mass":0.166732887,"mass_within_level":0.167103124,"plus":{"delta_millibps":1000,"gain":-0.00640601031,"se":0.00609554618,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,-0.0128507,0.010642,false],[256,-0.0050217,0.0072709,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"minus":{"delta_millibps":-1000,"gain":0.00194125896,"se":0.00633055104,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00368892,0.0118162,false],[256,0.00352847,0.00849682,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"common_n":512,"common_seeds":[64000,64511],"gradient":-0.00417363464,"gradient_se":0.00370812951,"gradient_z":-1.12554,"curvature":-0.00446475135,"curvature_se":0.00997307484,"predicted_step_bps":-0.934796658,"predicted_step_clipped":false,"predicted_gain":0.00195074986},{"id":"t0_l0_r2_c1","level":0,"rows":[15,23],"columns":[1,9],"nodes":81,"visited_nodes":47,"mass":0.0187885034,"mass_within_level":0.0188302241,"plus":{"delta_millibps":1000,"gain":-0.0453421134,"se":0.00890403599,"n":128,"seeds":[64000,64127],"early_stop":true,"early_stop_at":128,"checks":[[128,-0.0453421,0.00890404,true]],"qpl1_encodable":true,"nonzero_seed_diffs":128},"minus":{"delta_millibps":-1000,"gain":0.00483047951,"se":0.00411726067,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.013595,0.00630958,false],[256,0.00650958,0.00520843,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"common_n":128,"common_seeds":[64000,64127],"gradient":-0.0294685328,"gradient_se":0.00473037376,"gradient_z":-6.22964,"curvature":-0.0317471611,"curvature_se":0.0121934263,"predicted_step_bps":-0.928225761,"predicted_step_clipped":false,"predicted_gain":0.0136767257},{"id":"t0_l0_r2_c2","level":0,"rows":[15,23],"columns":[10,10],"nodes":9,"visited_nodes":6,"mass":0.166666949,"mass_within_level":0.16703704,"plus":{"delta_millibps":1000,"gain":-0.182941883,"se":0.0123131016,"n":128,"seeds":[64000,64127],"early_stop":true,"early_stop_at":128,"checks":[[128,-0.182942,0.0123131,true]],"qpl1_encodable":true,"nonzero_seed_diffs":128},"minus":{"delta_millibps":-1000,"gain":-0.0123906598,"se":0.00488218543,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,-0.0133174,0.00843887,false],[256,-0.0106859,0.00608012,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"common_n":128,"common_seeds":[64000,64127],"gradient":-0.0848122226,"gradient_se":0.00689404262,"gradient_z":-12.3022,"curvature":-0.196259321,"curvature_se":0.0159857033,"predicted_step_bps":-0.432143668,"predicted_step_clipped":false,"predicted_gain":0.0183255325},{"id":"t0_l1_r0_c0","level":1,"rows":[0,17],"columns":[0,0],"nodes":18,"visited_nodes":13,"mass":0.000583211257,"mass_within_level":0.263226858,"plus":{"delta_millibps":1000,"gain":0.00327809945,"se":0.00357233701,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.000628054,0.00521771,false],[256,0.00535014,0.00403252,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"minus":{"delta_millibps":-1000,"gain":-0.00233213704,"se":0.00373434211,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,-0.00212786,0.00605904,false],[256,0.00166836,0.00453309,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"common_n":512,"common_seeds":[64000,64511],"gradient":0.00280511825,"gradient_se":0.00146822189,"gradient_z":1.91055,"curvature":0.000945962412,"curvature_se":0.00669261559,"predicted_step_bps":null,"predicted_step_clipped":null,"predicted_gain":null},{"id":"t0_l1_r0_c1","level":1,"rows":[0,17],"columns":[1,1],"nodes":18,"visited_nodes":12,"mass":3.10603959e-05,"mass_within_level":0.0140188145,"plus":{"delta_millibps":1000,"gain":-0.000574123192,"se":0.00205663517,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00182925,0.00287663,false],[256,-0.000982917,0.0022811,false]],"qpl1_encodable":true,"nonzero_seed_diffs":326},"minus":{"delta_millibps":-1000,"gain":-0.00246907629,"se":0.00281594887,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00101818,0.00317437,false],[256,0.000579139,0.00270978,false]],"qpl1_encodable":true,"nonzero_seed_diffs":326},"common_n":512,"common_seeds":[64000,64511],"gradient":0.000947476547,"gradient_se":0.00131290796,"gradient_z":0.721663,"curvature":-0.00304319948,"curvature_se":0.00417417337,"predicted_step_bps":0.311342242,"predicted_step_clipped":false,"predicted_gain":0.000147494736},{"id":"t0_l1_r0_c2","level":1,"rows":[0,17],"columns":[2,9],"nodes":144,"visited_nodes":48,"mass":2.36995196e-05,"mass_within_level":0.0106965529,"plus":{"delta_millibps":1000,"gain":0.000447732088,"se":0.00187268829,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00568396,0.00390043,false],[256,0.00161765,0.00268998,false]],"qpl1_encodable":true,"nonzero_seed_diffs":229},"minus":{"delta_millibps":-1000,"gain":-0.00119969945,"se":0.00250756514,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00380026,0.00248072,false],[256,0.00123369,0.00226941,false]],"qpl1_encodable":true,"nonzero_seed_diffs":230},"common_n":512,"common_seeds":[64000,64511],"gradient":0.000823715767,"gradient_se":0.00130937325,"gradient_z":0.629092,"curvature":-0.000751967359,"curvature_se":0.00356817258,"predicted_step_bps":1.09541426,"predicted_step_clipped":false,"predicted_gain":0.000451154999},{"id":"t0_l1_r0_c3","level":1,"rows":[0,17],"columns":[10,10],"nodes":18,"visited_nodes":2,"mass":7.54007535e-06,"mass_within_level":0.00340314134,"plus":{"delta_millibps":1000,"gain":-7.8045671e-05,"se":0.000591281678,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.000689517,0.00187573,false],[256,0.000286319,0.000941174,false]],"qpl1_encodable":true,"nonzero_seed_diffs":27},"minus":{"delta_millibps":-1000,"gain":-0.00129152939,"se":0.00212312809,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00225671,0.00190271,false],[256,0.00096646,0.000959665,false]],"qpl1_encodable":true,"nonzero_seed_diffs":27},"common_n":512,"common_seeds":[64000,64511],"gradient":0.00060674186,"gradient_se":0.0010560417,"gradient_z":0.574543,"curvature":-0.00136957506,"curvature_se":0.00229209021,"predicted_step_bps":0.443014682,"predicted_step_clipped":false,"predicted_gain":0.000134397776},{"id":"t0_l1_r1_c0","level":1,"rows":[18,18],"columns":[0,0],"nodes":1,"visited_nodes":1,"mass":0.00031811473,"mass_within_level":0.14357806,"plus":{"delta_millibps":1000,"gain":0.00292371296,"se":0.00512128219,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00440646,0.00533561,false],[256,0.0120472,0.00833689,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"minus":{"delta_millibps":-1000,"gain":0.00246271811,"se":0.0028866862,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,3.15717e-05,0.00634588,false],[256,0.00464703,0.00433486,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"common_n":512,"common_seeds":[64000,64511],"gradient":0.000230497424,"gradient_se":0.00260437639,"gradient_z":0.0885039,"curvature":0.00538643107,"curvature_se":0.00647995921,"predicted_step_bps":null,"predicted_step_clipped":null,"predicted_gain":null},{"id":"t0_l1_r1_c1","level":1,"rows":[18,18],"columns":[1,1],"nodes":1,"visited_nodes":1,"mass":2.28651856e-05,"mass_within_level":0.0103199842,"plus":{"delta_millibps":1000,"gain":-0.000456925642,"se":0.00254687917,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00363519,0.003887,false],[256,0.00366109,0.00261683,false]],"qpl1_encodable":true,"nonzero_seed_diffs":276},"minus":{"delta_millibps":-1000,"gain":-0.000295516359,"se":0.00273116408,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00264446,0.00358681,false],[256,0.00151264,0.00282684,false]],"qpl1_encodable":true,"nonzero_seed_diffs":276},"common_n":512,"common_seeds":[64000,64511],"gradient":-8.07046416e-05,"gradient_se":0.000935731908,"gradient_z":-0.0862476,"curvature":-0.000752442001,"curvature_se":0.00493855491,"predicted_step_bps":-0.10725696,"predicted_step_clipped":false,"predicted_gain":4.32806726e-06},{"id":"t0_l1_r1_c2","level":1,"rows":[18,18],"columns":[2,9],"nodes":8,"visited_nodes":8,"mass":4.71880095e-05,"mass_within_level":0.0212978596,"plus":{"delta_millibps":1000,"gain":0.00113903006,"se":0.00199099759,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.004257,0.00418392,false],[256,0.00439737,0.00326007,false]],"qpl1_encodable":true,"nonzero_seed_diffs":312},"minus":{"delta_millibps":-1000,"gain":0.00136992984,"se":0.002760648,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00585824,0.00448033,false],[256,0.00573237,0.00318313,false]],"qpl1_encodable":true,"nonzero_seed_diffs":312},"common_n":512,"common_seeds":[64000,64511],"gradient":-0.000115449892,"gradient_se":0.00123885921,"gradient_z":-0.0931905,"curvature":0.0025089599,"curvature_se":0.00412691278,"predicted_step_bps":null,"predicted_step_clipped":null,"predicted_gain":null},{"id":"t0_l1_r1_c3","level":1,"rows":[18,18],"columns":[10,10],"nodes":1,"visited_nodes":1,"mass":0.000157128763,"mass_within_level":0.0709185735,"plus":{"delta_millibps":1000,"gain":0.000207072767,"se":0.00340667408,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,-0.00299028,0.00569754,false],[256,0.00215293,0.0042464,false]],"qpl1_encodable":true,"nonzero_seed_diffs":511},"minus":{"delta_millibps":-1000,"gain":0.00510334246,"se":0.00394796176,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00331692,0.0061582,false],[256,0.00855449,0.00482904,false]],"qpl1_encodable":true,"nonzero_seed_diffs":511},"common_n":512,"common_seeds":[64000,64511],"gradient":-0.00244813484,"gradient_se":0.00150009796,"gradient_z":-1.63198,"curvature":0.00531041522,"curvature_se":0.00673665237,"predicted_step_bps":null,"predicted_step_clipped":null,"predicted_gain":null},{"id":"t0_l1_r2_c0","level":1,"rows":[19,23],"columns":[0,0],"nodes":5,"visited_nodes":2,"mass":0.000164668838,"mass_within_level":0.0743217149,"plus":{"delta_millibps":1000,"gain":0.000312479075,"se":0.00368727925,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00460855,0.00796139,false],[256,0.00314421,0.0048608,false]],"qpl1_encodable":true,"nonzero_seed_diffs":510},"minus":{"delta_millibps":-1000,"gain":0.000473203022,"se":0.0036070019,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00291656,0.00627435,false],[256,0.00175602,0.00409346,false]],"qpl1_encodable":true,"nonzero_seed_diffs":510},"common_n":512,"common_seeds":[64000,64511],"gradient":-8.03619731e-05,"gradient_se":0.00153941389,"gradient_z":-0.052203,"curvature":0.000785682097,"curvature_se":0.00661315366,"predicted_step_bps":null,"predicted_step_clipped":null,"predicted_gain":null},{"id":"t0_l1_r2_c1","level":1,"rows":[19,23],"columns":[1,1],"nodes":5,"visited_nodes":2,"mass":2.44178878e-05,"mass_within_level":0.0110207816,"plus":{"delta_millibps":1000,"gain":0.00620121374,"se":0.00225921834,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00653939,0.00389084,false],[256,0.00280832,0.00290888,false]],"qpl1_encodable":true,"nonzero_seed_diffs":258},"minus":{"delta_millibps":-1000,"gain":0.00204925568,"se":0.00198728313,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.0064581,0.00403865,false],[256,0.00396443,0.00292274,false]],"qpl1_encodable":true,"nonzero_seed_diffs":258},"common_n":512,"common_seeds":[64000,64511],"gradient":0.00207597903,"gradient_se":0.00119553037,"gradient_z":1.73645,"curvature":0.00825046942,"curvature_se":0.00351987955,"predicted_step_bps":null,"predicted_step_clipped":null,"predicted_gain":null},{"id":"t0_l1_r2_c2","level":1,"rows":[19,23],"columns":[2,9],"nodes":40,"visited_nodes":16,"mass":8.04629597e-05,"mass_within_level":0.0363161921,"plus":{"delta_millibps":1000,"gain":0.00218836878,"se":0.00239412851,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00307938,0.00540682,false],[256,0.0053965,0.00369985,false]],"qpl1_encodable":true,"nonzero_seed_diffs":426},"minus":{"delta_millibps":-1000,"gain":0.000305452909,"se":0.00327043096,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,0.00482962,0.00444031,false],[256,0.00641854,0.00393055,false]],"qpl1_encodable":true,"nonzero_seed_diffs":410},"common_n":512,"common_seeds":[64000,64511],"gradient":0.000941457934,"gradient_se":0.00164347775,"gradient_z":0.572845,"curvature":0.00249382169,"curvature_se":0.00469585598,"predicted_step_bps":null,"predicted_step_clipped":null,"predicted_gain":null},{"id":"t0_l1_r2_c3","level":1,"rows":[19,23],"columns":[10,10],"nodes":5,"visited_nodes":3,"mass":0.000755264532,"mass_within_level":0.340881468,"plus":{"delta_millibps":1000,"gain":-0.000854939322,"se":0.00371240448,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,-0.00205321,0.0052882,false],[256,0.00165778,0.00442197,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"minus":{"delta_millibps":-1000,"gain":-0.00197674482,"se":0.00373019557,"n":512,"seeds":[64000,64511],"early_stop":false,"early_stop_at":null,"checks":[[128,-0.00927456,0.00674845,false],[256,-0.00171277,0.00461076,false]],"qpl1_encodable":true,"nonzero_seed_diffs":512},"common_n":512,"common_seeds":[64000,64511],"gradient":0.000560902746,"gradient_se":0.00153111414,"gradient_z":0.366336,"curvature":-0.00283168414,"curvature_se":0.00678346298,"predicted_step_bps":0.198080972,"predicted_step_clipped":false,"predicted_gain":5.55520806e-05}],"ranking":{"by_abs_gradient_z":[["t0_l0_r2_c2",-12.3022,-0.0848122226,128],["t0_l0_r2_c1",-6.22964,-0.0294685328,128],["t0_l1_r0_c0",1.91055,0.00280511825,512],["t0_l0_r0_c1",-1.84791,-0.0079874051,512],["t0_l1_r2_c1",1.73645,0.00207597903,512],["t0_l1_r1_c3",-1.63198,-0.00244813484,512]],"by_quadratic_predicted_gain":[["t0_l0_r2_c2",-0.432143668,0.0183255325,128],["t0_l0_r2_c1",-0.928225761,0.0136767257,128],["t0_l0_r2_c0",-0.934796658,0.00195074986,512],["t0_l0_r0_c1",-0.345750146,0.00138082324,512],["t0_l0_r1_c0",-0.295454942,0.00051471782,512],["t0_l1_r0_c2",1.09541426,0.000451154999,512]],"note":"Selection-set diagnostics. predicted_gain is an in-sample quadratic extrapolation from two probes and is biased upward by the sort."},"counts":{"groups":20,"signed_probes":40,"early_stopped":2,"seed_runs":19712,"positive_signed_probes_with_mean_minus_2se_above_zero":1,"signed_probes_reaching_0_03":0},"perturbation_sha256":{"t0_l0_r0_c0:plus":"552acdcf2e5025c3ddd47cbaa1d0230d7912ae19249bada30c3c9b237d518a7e","t0_l0_r0_c0:minus":"f2c896ee59c3f4e385cf8d8e1d407e20e9b79b52fcb085c304bc5cf6ac70704a","t0_l0_r0_c1:plus":"b4dab810beda767fd734178009e7fab66f61bccd52b367de456fb5c9c70cc7db","t0_l0_r0_c1:minus":"b367fb1d4cafda4a6933193f973ed3ab09d3c18e88e1c3e67e276f52a49dbb8b","t0_l0_r0_c2:plus":"603e13f7aaa6002849b4445f49c658dd2e4c781ff1fb1d7386d47c89bfbda607","t0_l0_r0_c2:minus":"cb69bd3e615b8d4ff461fa206eb6e4a02556130c494f84518ab1c6192d4b1eee","t0_l0_r1_c0:plus":"c5889e4c945372c582e61fb1a7e1343f683fdcdb99dca9d73a9f060467ee2cbc","t0_l0_r1_c0:minus":"c8660c283ddca0b93756d6e066aeb072a767791c51742bd9c259dcee3e3b257a","t0_l0_r1_c1:plus":"23e8bdf5dc2811243dea7e78a87f584bb6239a69b8506d9f70ced0ff02f09ce6","t0_l0_r1_c1:minus":"b59c403fb1dc936ec16c04fc57765b3610c28fb21b1fbb73fcba032387de29f9","t0_l0_r2_c0:plus":"8b1ea7a8e00a952ae423cc277c3032aeb182f12369a9cad63caeadef629932ac","t0_l0_r2_c0:minus":"f74ad43ec43bf5963afd364e42137b4f02e89d0732f2b2865615f0d783df919b","t0_l0_r2_c1:plus":"e751dbe88f329f52b51262026ddfd794b0ee078b180647f727e6b50ab3dfaabb","t0_l0_r2_c1:minus":"4b266b500c534ead3e5c186d861e715581dd75d3102a41aaafea4e86b23a6a04","t0_l0_r2_c2:plus":"35db30b18937715d9c071e925d35e7441cebf620a1d344d47ad80657c27e6cd2","t0_l0_r2_c2:minus":"4ab33e862d67ad63ffe2e4a26f83a42d455708c5d50a46e763869da246179b09","t0_l1_r0_c0:plus":"c5f20423ddc4d7af44cfdb0664275678081024da94dc29057a0c8d8f32ba56f9","t0_l1_r0_c0:minus":"bc33cc2ca75f376f27b66df24887f77c95f47d67ec201618816b3eff0dc7b609","t0_l1_r0_c1:plus":"49b1ea73088bfae37d465b2ba3b7137cc8f44f161870c7313c0c0c0be264b50f","t0_l1_r0_c1:minus":"f583079ebe6d0031765008c71dfe1c9e31c09d92f681bdf64ccd0983ac75182a","t0_l1_r0_c2:plus":"f763b34e8ff1d7dc8983eb0c17ad5cbb3684439329ffdcd9e2848e765cfdd92c","t0_l1_r0_c2:minus":"4540c1c14bd57b0b8041b6e648108516341fa5f1e9b38084e1b5e72bec0e3e43","t0_l1_r0_c3:plus":"8aef6334fe5224734ecd1897cdf2a01099f21bfde63400cd3cc99d87baec3b7f","t0_l1_r0_c3:minus":"8984165ac17c6e2352165777d650bf13e5eb71c28df7746cba069eb5ffa52989","t0_l1_r1_c0:plus":"0e86e42aab6e2f394f9c289444bb4c37f4fccd98fec075a5d778712fe373c07d","t0_l1_r1_c0:minus":"cbc3b3cfd64b204963f01edc7f0b2b5d233514e1cdbd45d8c08a34ff30253bb1","t0_l1_r1_c1:plus":"b25331a4a94826cc2c8c2ea6efae32280d92c5898bdcc6097bcecf4c8a0c6152","t0_l1_r1_c1:minus":"72072386f2aa0f68b5d67fb85fb522170852a0f21db8df68d97ec7a4e6913258","t0_l1_r1_c2:plus":"816b6651feebe1fcbbaf444006e210dc836707f6b9311cf8c04c3e07baa5a02e","t0_l1_r1_c2:minus":"507b7285e965eb382472baaf0952023be0c01603fceda4d0ee00204ee47aade0","t0_l1_r1_c3:plus":"915ca31b3f75c8f8fc1729d6b7af1b9c238b30ee6c482e4e328640fdc692429b","t0_l1_r1_c3:minus":"dbbbd2c196442297e4448c9af7fe537d6fcba4b807d267de2340cd3721aeca5a","t0_l1_r2_c0:plus":"10657d4f0c4909a9487f80eed95621dd4a24f5987dfa807e12838675d257f06f","t0_l1_r2_c0:minus":"aad3867cafb5438dc751ddafe7891fad2b58e9bdad5392167f7b56ea2a7fe541","t0_l1_r2_c1:plus":"e85ea36084bbdc697a2af3a74c95eff8840b2886c3255012eede3cb9fe301769","t0_l1_r2_c1:minus":"0d455e0dd16a56edc69fb0cbbf1d2348b4830a773394439891a113670d94de40","t0_l1_r2_c2:plus":"27e47f442aaed60c64999ec8fd134f10b24a91afc3ef8e13d66156c250e4fa1f","t0_l1_r2_c2:minus":"402359776bfe7338989c9cb483f08f515d91f512690485d4f87e38aeb0729f26","t0_l1_r2_c3:plus":"11a82793ff040eb4a0914f801f99100f0bfb5f53910237ae04cdb8e9c3c50c8a","t0_l1_r2_c3:minus":"56fc8a8f4574256c463c44a43d743eb9014d52fc176e7980a14a3cd0123d7b3b"},"perturbation_hash_definition":"SHA-256 of the exact delta file: first line \"# Credit Taylor (gtmcknight), github.com/gtmcknight/amm-sim research/solved. t3-map t0 diagnostic probe.\" + LF, then one line \"0 level row column millibps\" + LF per node, rows ascending then columns ascending.","runtime":"Harness build.py unmodified (g++ 13.3.0, -O3 -std=c++20 -ffp-contract=off), Python 3 standard library; caches under test/scratch/.","engine_runs":0,"report_set_evaluated":false,"peak_gas":null,"oog":null,"limitations":["Replica (choose-side) measurements only on seeds 64000..64511; no engine run, no Solidity, no gas, and seeds 10000..12047 were not touched. peak_gas and oog are null because this is not an engine item.","Top-level gain_vs_base/se/n/seeds are the maximum of mean-SE over 40 signed probes on the selection seeds; this is biased upward and must not be read as an expected gain. The selected group has visit mass about 2.4e-5 of table 0 and both of its signs are positive, which is what chaotic path noise looks like rather than a slope.","No signed probe reaches the +0.03 promotion bar; the largest effects are losses from raising fees in level 0 rows 15..23 (columns 1..9 and column 10).","Early-stopped probes have n=128, so gradient and curvature for those groups use 128 common seeds; their curvature is dominated by the large +1 bps loss.","Visit weights come from seeds 64000..64127, which are also the first 128 probe seeds; bands were frozen from visits only, before gains were computed. Nodes inside a band that were unvisited on those 128 seeds are still perturbed.","Groups with near-zero mass still show nonzero paired differences (see nonzero_seed_diffs) because any fee change alters later trades discretely; SE of roughly 0.0006-0.005 is the noise floor of a 512-seed paired probe here.","Uniform band shifts measure one direction per group; opposite-signed structure inside a band cancels and is not resolved. Bands are coarse where one column carries most weight (column 0 and column 10 are single-column bands).","The quantile rule (nearest cumulative share, ties to lower index) is this item's choice among rules the brief allows; with it level 0 yields 3x3 bands (one zero-weight group skipped) and level 1 yields 3x4.","qpl1_encodable refers to the exact +/-1 bps probe (4 lattice units of 250 millibps) on the production tables; it says nothing about fitted fractional steps such as predicted_step_bps, which would need quantising.","Harness limitations carry over: visit weights exclude truncation derivatives and are not objective gradients; replica-engine parity is established within six printed decimals on 512 other seeds, not bit identity."]}