# b2s3 — TC-A confirmation; credit Taylor (gtmcknight) Taylor (gtmcknight) authored the original solved policy, Gaussian filter, qm tables and replica research. These are local engine measurements, not board scores. TC-A minus qt1: **+0.420781112764 mean edge**, sample SE **0.063528159370**, **n=128**. All assigned seeds 9802882..9803009 completed once, in eight 16-seed chunks. No tuning or strategy changes. Both arms stayed below the 245,000 afterSwap gas limit with zero OOG or reverts. TC-A deployed runtime is **21,102 bytes**, below 24,576. ## Inputs and verification Setup used the pinned [setup script](https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/c1c9a349f00bf18746f17c6a253469df6634860b/tools/setup.sh) once from the amm-challenge checkout at `6b6921f8d463314aa7c96234e1be25a25245f704`, on Linux x86_64. It succeeded, including StarterStrategy validation. The setup checked the installed engine extension SHA-256 as `ff88b6353c2aad7342f0a26194f7347e78b9c3b38d683a7449006d423978cd14`. TC-A was reconstructed from [R](https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/c1c9a349f00bf18746f17c6a253469df6634860b/reference/qtr2/Strategy.sol) with `patch -p1`, using only the exact unified diff in [the frozen candidate artifact, “Contract: exact unified diff against R”](https://api.imd.fun/artifacts/ebab165bd9bc568057d042f7a9364713eb9cbef3f895e046fc1fde8264134fd2). Baseline was the pinned [qt1 source](https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/c1c9a349f00bf18746f17c6a253469df6634860b/reference/qt1/Strategy.sol). Locally computed source SHA-256: | Source | SHA-256 | | --- | --- | | qt1 | `c68887cff61180e12ba2b1ceb333edf76a830f91f63b5d775a8806fb9ec08aca` | | R | `7b99afae570ef1627b0163fb21411f14c496b005a07c3966cc7323906dee664f` | | TC-A | `b87234c89e094f4955578417c1266129b0f96e6dfda68e3fb8866e00eeda71a2` | TC-A matches the requested frozen hash exactly. Local compilation via the pinned compiler returned deployed sizes TC-A=21,102 B and qt1=20,605 B. Local `amm-match validate scratch/candidate.sol` output (exit 0): ```text Validating strategy... Compiling strategy... Strategy 'TaylorTwoCompQmTrim2' validated successfully! ``` ## Method The unchanged [engine.py](https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/c1c9a349f00bf18746f17c6a253469df6634860b/tools/engine.py), with its unchanged [check.py compilation helper](https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/c1c9a349f00bf18746f17c6a253469df6634860b/tools/check.py), ran from the checkout root under `scratch/env.sh`. Each invocation was limited by `timeout 470`. Each arm ran alone against the 30 bps VanillaStrategy using `amm_sim_rs.run_batch(X, Vanilla, configs, 8)` and reset gas statistics before its run. Config construction follows the default [MatchRunner._build_configs](https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/competition/match.py); [compiler settings](https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/evm/compiler.py) use optimizer 200, viaIR and Paris. Range endpoints are exclusive, as documented in the pinned [harness README](https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/c1c9a349f00bf18746f17c6a253469df6634860b/tools/README.md). Commands, each invoked exactly once: ```sh . scratch/env.sh && timeout 470 python scratch/engine.py scratch/candidate.sol scratch/qt1.sol 9802882 9802898 scratch/chunk0.json > scratch/chunk0.log 2>&1 . scratch/env.sh && timeout 470 python scratch/engine.py scratch/candidate.sol scratch/qt1.sol 9802898 9802914 scratch/chunk1.json > scratch/chunk1.log 2>&1 . scratch/env.sh && timeout 470 python scratch/engine.py scratch/candidate.sol scratch/qt1.sol 9802914 9802930 scratch/chunk2.json > scratch/chunk2.log 2>&1 . scratch/env.sh && timeout 470 python scratch/engine.py scratch/candidate.sol scratch/qt1.sol 9802930 9802946 scratch/chunk3.json > scratch/chunk3.log 2>&1 . scratch/env.sh && timeout 470 python scratch/engine.py scratch/candidate.sol scratch/qt1.sol 9802946 9802962 scratch/chunk4.json > scratch/chunk4.log 2>&1 . scratch/env.sh && timeout 470 python scratch/engine.py scratch/candidate.sol scratch/qt1.sol 9802962 9802978 scratch/chunk5.json > scratch/chunk5.log 2>&1 . scratch/env.sh && timeout 470 python scratch/engine.py scratch/candidate.sol scratch/qt1.sol 9802978 9802994 scratch/chunk6.json > scratch/chunk6.log 2>&1 . scratch/env.sh && timeout 470 python scratch/engine.py scratch/candidate.sol scratch/qt1.sol 9802994 9803010 scratch/chunk7.json > scratch/chunk7.log 2>&1 ``` ## Paired result Difference is TC-A edge minus qt1 edge on each seed. Computed from unrounded engine results. SE is sample standard deviation of the 128 differences divided by sqrt(128); worst5 lists [seed, diff] in ascending difference order. ```json { "n": 128, "mean_diff": 0.42078111276352814, "se": 0.0635281593697205, "worst5": [ [ 9802971, -3.8556139203352586 ], [ 9803009, -3.3878980479951224 ], [ 9803007, -1.2488472212653505 ], [ 9802937, -1.0661006554367987 ], [ 9802884, -0.35865515588625385 ] ] } ``` ## Submission afterSwap gas aggregates Gas mean is weighted by successful callback count: sum(sum_ok_gas)/sum(ok); all callbacks succeeded, so ok equals calls. Peak is max(max_ok_gas). Aggregates exclude Vanilla and other callbacks. All other_halt, tx_error and bad_return counts are also zero for Submission afterSwap. ```json { "TC-A": { "calls": 1391918, "peak": 208748, "mean": 131041.61354045282, "oog": 0, "reverts": 0 }, "qt1": { "calls": 1398638, "peak": 208508, "mean": 137953.8711846811, "oog": 0, "reverts": 0 } } ``` ## Chunk timing and paired summaries Wall seconds below are the harness's `seconds` measurements: elapsed wall time from immediately before the first arm through both arms and paired result preparation. Compilation, Vanilla compilation and config construction precede this timer and are excluded. Arm seconds are separately measured by the harness. All commands exited 0; none timed out. Chunks 1 and 2 briefly overlapped in separate processes; their gas counters are process-local. | Chunk | START | END exclusive | n | Wall seconds | TC-A seconds | qt1 seconds | Mean diff | SE | | --- | --- | --- | --- | --- | --- | --- | --- | --- | | 0 | 9802882 | 9802898 | 16 | 17.609714270 | 8.768439054 | 8.813718319 | 0.365417402929 | 0.130008154965 | | 1 | 9802898 | 9802914 | 16 | 20.267938137 | 8.233600855 | 12.005098820 | 0.582677595260 | 0.100858154169 | | 2 | 9802914 | 9802930 | 16 | 20.587899446 | 10.905661821 | 9.650477886 | 0.458959329209 | 0.130294282857 | | 3 | 9802930 | 9802946 | 16 | 18.113629580 | 9.059380054 | 9.025160074 | 0.683190672337 | 0.167467443415 | | 4 | 9802946 | 9802962 | 16 | 18.418746471 | 9.189193249 | 9.199632406 | 0.499856973739 | 0.106098107707 | | 5 | 9802962 | 9802978 | 16 | 18.370114088 | 8.887423277 | 9.456494093 | 0.186001035926 | 0.292299614104 | | 6 | 9802978 | 9802994 | 16 | 17.290300131 | 8.341053963 | 8.923412323 | 0.521593755871 | 0.095361543125 | | 7 | 9802994 | 9803010 | 16 | 16.560781717 | 8.052784443 | 8.481657028 | 0.068552136836 | 0.275307494387 | ## Per-seed results Engine edge values, rounded to 12 decimal places for display. Diff is calculated before rounding. ```csv seed,tca,qt1,diff 9802882,437.118947958604,437.133726739547,-0.014778780942 9802883,534.794003640111,533.473066583914,1.320937056196 9802884,574.265928867930,574.624584023816,-0.358655155886 9802885,469.527598092237,469.089831882002,0.437766210235 9802886,532.694636201420,531.998175274795,0.696460926625 9802887,505.671934035506,505.708616026251,-0.036681990745 9802888,534.539254310595,533.153184968824,1.386069341771 9802889,651.055792554709,651.077866263239,-0.022073708530 9802890,420.211863697319,419.810598775752,0.401264921567 9802891,510.933839839151,511.007173442658,-0.073333603507 9802892,610.003459270840,609.602518164784,0.400941106056 9802893,530.547032416677,529.730408817990,0.816623598688 9802894,594.863268786047,594.957518484637,-0.094249698591 9802895,471.446511034614,470.775432645682,0.671078388933 9802896,651.627015466257,651.798437745325,-0.171422279068 9802897,454.850574432933,454.363842318868,0.486732114065 9802898,434.260544556587,433.166652800376,1.093891756211 9802899,448.746802224702,449.057272822916,-0.310470598214 9802900,523.881623887857,523.560290127226,0.321333760631 9802901,451.996068626732,451.746260454530,0.249808172201 9802902,526.609689591667,526.229501385060,0.380188206607 9802903,547.691864088694,547.410337919759,0.281526168935 9802904,463.147114633223,462.727540206744,0.419574426479 9802905,705.235275811128,704.615761735137,0.619514075991 9802906,462.383318828051,461.417651089294,0.965667738757 9802907,420.752607900098,419.420405199145,1.332202700952 9802908,563.694818200758,563.366420215122,0.328397985636 9802909,445.375874382852,444.494521420903,0.881352961948 9802910,533.392732033318,532.595586315384,0.797145717934 9802911,405.496206790628,404.595805398093,0.900401392536 9802912,593.590135348892,593.179334007205,0.410801341687 9802913,536.208844486314,535.557338770444,0.651505715869 9802914,409.606426048530,409.922998824308,-0.316572775777 9802915,570.362904891496,570.079597635159,0.283307256337 9802916,658.920426207389,658.872219298773,0.048206908616 9802917,674.891560153761,674.869861651869,0.021698501892 9802918,472.902863114487,472.494420225803,0.408442888685 9802919,535.871755747903,534.455391891769,1.416363856135 9802920,687.080034216617,686.997938760423,0.082095456194 9802921,563.618997382629,563.821138929524,-0.202141546895 9802922,553.335293764914,552.692658783033,0.642634981881 9802923,614.655927518358,613.737771207581,0.918156310777 9802924,464.505769243114,464.268533227862,0.237236015252 9802925,510.304570797384,509.945196494864,0.359374302521 9802926,434.829598616993,433.932933717189,0.896664899805 9802927,512.583531911009,512.372514814865,0.211017096145 9802928,582.776359921751,581.709087161728,1.067272760024 9802929,611.359257132225,610.089664776465,1.269592355760 9802930,540.945851707693,539.853126350191,1.092725357502 9802931,626.936898779354,625.835079459954,1.101819319400 9802932,375.572793621189,374.581162196572,0.991631424617 9802933,668.722771098001,667.037475937730,1.685295160271 9802934,637.185037302952,637.207869253473,-0.022831950521 9802935,557.144973279652,555.951008140313,1.193965139339 9802936,655.201775404766,654.594489407166,0.607285997600 9802937,528.308803648157,529.374904303594,-1.066100655437 9802938,542.722486697679,541.771930474992,0.950556222687 9802939,383.619171435852,383.074151501903,0.545019933949 9802940,368.541516697347,368.725209330330,-0.183692632983 9802941,501.611571412768,501.316337646885,0.295233765882 9802942,573.664938451910,572.791938273527,0.873000178382 9802943,427.973186797502,427.209307358795,0.763879438707 9802944,489.195674403547,487.864028337516,1.331646066031 9802945,571.983732557034,571.212114565067,0.771617991967 9802946,380.510369878798,380.036870590614,0.473499288184 9802947,583.106663164346,582.213548287079,0.893114877268 9802948,626.878685729762,626.329150142299,0.549535587463 9802949,519.782291008363,520.000329050661,-0.218038042298 9802950,461.874129355221,461.137921362269,0.736207992952 9802951,436.533738104391,435.346869799463,1.186868304928 9802952,454.395927034300,454.204128795525,0.191798238775 9802953,478.946913568145,478.884444738615,0.062468829530 9802954,381.488485271512,381.056307760142,0.432177511370 9802955,488.129827469525,487.095765156657,1.034062312868 9802956,524.743600933862,523.962250641716,0.781350292146 9802957,509.996124797368,509.902193434607,0.093931362762 9802958,561.530674459189,561.138737122164,0.391937337025 9802959,608.045635301418,607.235374651478,0.810260649940 9802960,493.102907456464,493.305436319907,-0.202528863443 9802961,407.636909449984,406.855843549635,0.781065900349 9802962,675.566764894674,675.769896872170,-0.203131977496 9802963,603.966509922286,603.354602770700,0.611907151587 9802964,715.304508538361,713.849097287219,1.455411251142 9802965,512.710014540226,512.335321089407,0.374693450820 9802966,519.932001759055,519.372405951945,0.559595807109 9802967,576.010645095529,575.626895289709,0.383749805820 9802968,488.522647992406,488.706776877144,-0.184128884739 9802969,493.822460895988,492.929551963776,0.892908932212 9802970,634.610083204240,633.859071611352,0.751011592889 9802971,606.615267308619,610.470881228954,-3.855613920335 9802972,557.380068457816,556.672505529117,0.707562928699 9802973,620.005985329421,620.251563893358,-0.245578563937 9802974,501.479293193489,501.048791967089,0.430501226401 9802975,544.091981205148,544.128468870668,-0.036487665521 9802976,537.423473832360,536.641889352509,0.781584479851 9802977,629.106367423063,628.554336462743,0.552030960321 9802978,503.734363773524,503.668759146648,0.065604626876 9802979,696.399777208110,696.186488842081,0.213288366029 9802980,467.773547055869,467.119209469816,0.654337586053 9802981,456.149483451341,455.616907312519,0.532576138822 9802982,595.560269675200,594.531383249693,1.028886425507 9802983,411.476343010999,411.462048149609,0.014294861390 9802984,622.295041956205,621.946503346974,0.348538609231 9802985,533.485692037896,533.128973821615,0.356718216281 9802986,514.134779837387,513.934902527039,0.199877310348 9802987,427.982619074929,427.840737840769,0.141881234160 9802988,514.854062233831,514.403628826348,0.450433407483 9802989,648.404382998567,647.878729901522,0.525653097045 9802990,468.578173342386,467.208024022826,1.370149319560 9802991,727.537677977949,726.619685393202,0.917992584746 9802992,648.677791894626,648.063186426986,0.614605467640 9802993,456.798457270516,455.887794427746,0.910662842770 9802994,689.674580627353,689.279651033429,0.394929593924 9802995,536.146672538413,535.891276005484,0.255396532929 9802996,511.501179232197,511.657255602184,-0.156076369987 9802997,667.593138384423,667.324939505931,0.268198878492 9802998,649.622567473192,648.275016742459,1.347550730733 9802999,623.356739087192,623.497234333903,-0.140495246711 9803000,608.013396720844,607.409825432021,0.603571288822 9803001,513.737405207363,512.971308506074,0.766096701289 9803002,458.141960170895,458.111305944155,0.030654226740 9803003,661.553935189888,661.756208417960,-0.202273228072 9803004,555.290915436207,554.807372928626,0.483542507581 9803005,427.435443705045,426.440124093276,0.995319611768 9803006,472.801995471685,471.893230890328,0.908764581358 9803007,608.431357880255,609.680205101521,-1.248847221265 9803008,457.615213168049,457.436813518275,0.178399649774 9803009,703.588474042045,706.976372090040,-3.387898047995 ``` ## Raw gas_stats() by chunk The arrays below preserve every field and value returned by each arm, including Vanilla (`role=Baseline`) and Submission callbacks. Here `candidate` means TC-A; the outer `baseline` arm means qt1. ### Chunk 0: 9802882..9802897 ```json {"candidate":[{"role":"Baseline","callback":"afterInitialize","calls":16,"ok":16,"max_ok_gas":21796,"sum_ok_gas":348736,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"afterSwap","calls":168289,"ok":168289,"max_ok_gas":22592,"sum_ok_gas":3797050556,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"getName","calls":16,"ok":16,"max_ok_gas":21526,"sum_ok_gas":344416,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterInitialize","calls":16,"ok":16,"max_ok_gas":92165,"sum_ok_gas":1474640,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterSwap","calls":169529,"ok":169529,"max_ok_gas":203381,"sum_ok_gas":22266557082,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"getName","calls":16,"ok":16,"max_ok_gas":21648,"sum_ok_gas":346368,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0}],"baseline":[{"role":"Baseline","callback":"afterInitialize","calls":16,"ok":16,"max_ok_gas":21796,"sum_ok_gas":348736,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"afterSwap","calls":168551,"ok":168551,"max_ok_gas":22592,"sum_ok_gas":3802957480,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"getName","calls":16,"ok":16,"max_ok_gas":21526,"sum_ok_gas":344416,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterInitialize","calls":16,"ok":16,"max_ok_gas":90858,"sum_ok_gas":1453728,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterSwap","calls":170261,"ok":170261,"max_ok_gas":205399,"sum_ok_gas":23532696848,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"getName","calls":16,"ok":16,"max_ok_gas":21579,"sum_ok_gas":345264,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0}]} ``` ### Chunk 1: 9802898..9802913 ```json {"candidate":[{"role":"Baseline","callback":"afterInitialize","calls":16,"ok":16,"max_ok_gas":21796,"sum_ok_gas":348736,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"afterSwap","calls":166378,"ok":166378,"max_ok_gas":22592,"sum_ok_gas":3753930224,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"getName","calls":16,"ok":16,"max_ok_gas":21526,"sum_ok_gas":344416,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterInitialize","calls":16,"ok":16,"max_ok_gas":92165,"sum_ok_gas":1474640,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterSwap","calls":167866,"ok":167866,"max_ok_gas":203040,"sum_ok_gas":22090966477,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"getName","calls":16,"ok":16,"max_ok_gas":21648,"sum_ok_gas":346368,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0}],"baseline":[{"role":"Baseline","callback":"afterInitialize","calls":16,"ok":16,"max_ok_gas":21796,"sum_ok_gas":348736,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"afterSwap","calls":166515,"ok":166515,"max_ok_gas":22592,"sum_ok_gas":3757014684,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Baseline","callback":"getName","calls":16,"ok":16,"max_ok_gas":21526,"sum_ok_gas":344416,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterInitialize","calls":16,"ok":16,"max_ok_gas":90858,"sum_ok_gas":1453728,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"afterSwap","calls":168633,"ok":168633,"max_ok_gas":206809,"sum_ok_gas":23341025240,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0},{"role":"Submission","callback":"getName","calls":16,"ok":16,"max_ok_gas":21579,"sum_ok_gas":345264,"oog":0,"revert":0,"other_halt":0,"tx_error":0,"bad_return":0}]} ``` ### Chunk 2: 9802914..9802929 ```json 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``` ### Chunk 3: 9802930..9802945 ```json 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``` ### Chunk 4: 9802946..9802961 ```json 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``` ### Chunk 5: 9802962..9802977 ```json 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``` ### Chunk 6: 9802978..9802993 ```json 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``` ### Chunk 7: 9802994..9803009 ```json 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``` ## Problems and scope No missing or failed chunks. No assigned seed was repeated; no other engine seeds were run. No strategy tuning or Solidity edits beyond applying the specified frozen diff. Setup, reconstruction, validation, runtime-size and shard gas checks passed. Replica gates P/Q/F were not rerun: this assignment is solely the frozen candidate's specified engine confirmation shard. The reported local observations do not establish a board score or independently certify those earlier gates. External source claims are linked above and listed in sources.json; all score, gas, hash, validation and timing figures here are measurements from this run.