# f2: frozen TC-A confirmation against qt1 Credit: Taylor (gtmcknight), policy, Gaussian filter, qm tables and replica research. Contract sources [S1–S2]; supplied measurement tools [S3–S5]. Local engine measurements only; these are not board scores. All 128 assigned seeds 9803316..9803443 ran once, in eight half-open chunks of 16. No tuning, source edits, retries or other engine seeds. Each arm ran alone against the 30 bps VanillaStrategy [S7] using the supplied `run_batch(..., configs, 8)` helper [S4]. Config construction was checked against the pinned MatchRunner [S6]. No replica P/Q/F work was performed: this item is the frozen engine confirmation shard. Platform: `uname -sm` = `Linux x86_64` (exit 0). Setup: challenge checkout `6b6921f8d463314aa7c96234e1be25a25245f704`; pinned K/tools/setup.sh [S3] saved as scratch/setup.sh and executed exactly once, exit 0. All state and installed dependencies were kept in `test/scratch/challenge` (checkout-local scratch/ and .venv). Setup validated StarterStrategy successfully. SHA256 (local file measurements): ```text TC-A b87234c89e094f4955578417c1266129b0f96e6dfda68e3fb8866e00eeda71a2 qt1 c68887cff61180e12ba2b1ceb333edf76a830f91f63b5d775a8806fb9ec08aca amm_sim_rs.abi3.so ff88b6353c2aad7342f0a26194f7347e78b9c3b38d683a7449006d423978cd14 ``` Runtime: TC-A **21,102 B** (required equality confirmed); qt1 **20,605 B**, both under 24,576 B. Measured by the challenge SolidityCompiler [S8], Solidity 0.8.24, optimizer 200 runs, viaIR, Paris. Candidate validation: `TaylorTwoCompQmTrim2` validated successfully, exit 0. Paired TC-A minus qt1; SE uses sample SD / sqrt(n); worst5 ordered by diff then seed: ```json {"n":128,"mean_diff":0.46435248549701,"se":0.0491724827452028,"worst5":[[9803364,-0.859850201922427],[9803414,-0.6386686805262229],[9803347,-0.5996234822052884],[9803423,-0.5554428382620245],[9803349,-0.5322283175274265]]} ``` Submission afterSwap aggregated over all eight chunks (gas means weighted by successful calls, peak=max; counts summed): ```json {"TC-A":{"calls":1388924,"peak":203824,"mean":131101.561274051,"oog":0,"reverts":0},"qt1":{"calls":1396965,"peak":208743,"mean":137985.33755104817,"oog":0,"reverts":0}} ``` Both observed peaks satisfy 245,000 gas and both arms have zero OOG and reverts. All Submission afterSwap calls succeeded; no other halts, transaction errors or bad returns. Evidence: raw per-chunk gas_stats below. Per-seed local submission edge; diff=TC-A−qt1. Markdown rounded to 6 decimals; JSON retains the recorded floating point values. |seed|TC-A edge|qt1 edge|diff| |---:|---:|---:|---:| |9803316|425.096561|424.916709|0.179853| |9803317|538.022540|537.260046|0.762493| |9803318|559.818332|559.738465|0.079867| |9803319|519.995000|519.434921|0.560079| |9803320|582.011412|582.026978|-0.015567| |9803321|482.067782|482.505416|-0.437634| |9803322|452.915043|452.032885|0.882158| |9803323|523.948688|521.740137|2.208551| |9803324|401.462488|401.195577|0.266911| |9803325|727.987610|727.016653|0.970957| |9803326|553.059596|553.036879|0.022717| |9803327|460.947167|459.946638|1.000530| |9803328|568.484928|567.991739|0.493188| |9803329|473.078412|472.376892|0.701520| |9803330|594.000721|593.382457|0.618264| |9803331|581.947295|580.091158|1.856137| |9803332|589.007818|587.608269|1.399549| |9803333|542.524447|541.971520|0.552926| |9803334|445.546912|445.322612|0.224300| |9803335|473.738760|472.875206|0.863554| |9803336|444.878747|444.424893|0.453854| |9803337|546.191546|545.885684|0.305862| |9803338|590.894780|590.918517|-0.023737| |9803339|449.155503|449.202888|-0.047385| |9803340|384.716552|384.920374|-0.203822| |9803341|536.347320|535.517285|0.830035| |9803342|449.286120|447.568949|1.717171| |9803343|420.731236|420.324096|0.407141| |9803344|489.401429|489.165742|0.235687| |9803345|505.571359|505.900942|-0.329583| |9803346|436.860199|436.260179|0.600020| |9803347|569.911259|570.510882|-0.599623| |9803348|451.319839|450.942384|0.377455| |9803349|439.571618|440.103847|-0.532228| |9803350|476.123575|476.005012|0.118563| |9803351|388.524148|387.949866|0.574282| |9803352|556.494587|555.812695|0.681892| |9803353|466.204629|466.535501|-0.330872| |9803354|653.787856|652.879394|0.908462| |9803355|547.646623|547.030118|0.616506| |9803356|393.495580|393.308491|0.187089| |9803357|563.299818|561.980054|1.319764| |9803358|642.283618|641.794483|0.489134| |9803359|530.367089|529.789001|0.578088| |9803360|661.725638|661.137204|0.588434| |9803361|815.146363|814.905413|0.240951| |9803362|616.805419|616.585185|0.220233| |9803363|403.783158|403.640723|0.142436| |9803364|586.420139|587.279989|-0.859850| |9803365|518.330653|517.755784|0.574869| |9803366|485.219514|483.663894|1.555620| |9803367|408.221435|407.830769|0.390665| |9803368|665.195776|664.441125|0.754652| |9803369|656.942189|656.619335|0.322854| |9803370|571.155034|570.703528|0.451506| |9803371|566.009849|565.874695|0.135154| |9803372|502.456601|502.500557|-0.043956| |9803373|584.837991|584.833261|0.004730| |9803374|597.964936|596.265628|1.699308| |9803375|490.358120|489.650667|0.707453| |9803376|492.672878|493.064794|-0.391916| |9803377|477.977369|477.466745|0.510624| |9803378|490.137717|489.026866|1.110851| |9803379|447.580772|446.573419|1.007353| |9803380|514.652048|513.554929|1.097119| |9803381|513.586063|513.436113|0.149950| |9803382|663.459046|662.663858|0.795188| |9803383|526.382428|526.239885|0.142543| |9803384|598.599380|597.857625|0.741755| |9803385|528.943374|527.648045|1.295329| |9803386|577.927773|577.637281|0.290492| |9803387|614.540310|614.510562|0.029748| |9803388|551.040160|550.356822|0.683338| |9803389|542.617120|542.234356|0.382763| |9803390|468.148351|467.570076|0.578275| |9803391|448.714509|448.400394|0.314115| |9803392|802.351220|802.027053|0.324167| |9803393|531.630142|531.083362|0.546780| |9803394|533.422937|533.274723|0.148214| |9803395|503.794585|503.099875|0.694710| |9803396|463.667640|463.483724|0.183916| |9803397|639.149718|639.109444|0.040274| |9803398|433.621712|433.466620|0.155092| |9803399|576.541151|575.521421|1.019730| |9803400|489.607847|489.481050|0.126797| |9803401|425.516191|424.939223|0.576968| |9803402|448.029191|447.249837|0.779354| |9803403|625.244700|625.123228|0.121472| |9803404|503.875268|504.016227|-0.140959| |9803405|688.974482|688.191801|0.782681| |9803406|533.490085|532.323880|1.166205| |9803407|435.115142|433.891980|1.223162| |9803408|622.933606|622.780733|0.152873| |9803409|398.711963|398.552772|0.159191| |9803410|537.671363|536.542714|1.128649| |9803411|413.782740|413.707185|0.075556| |9803412|474.404254|474.382377|0.021877| |9803413|412.104473|411.069775|1.034698| |9803414|402.126017|402.764686|-0.638669| |9803415|625.325212|625.182294|0.142918| |9803416|643.837206|644.152911|-0.315705| |9803417|408.316297|408.361808|-0.045511| |9803418|426.691183|425.711344|0.979839| |9803419|366.481064|365.595318|0.885747| |9803420|494.759024|494.768268|-0.009244| |9803421|604.770715|604.218083|0.552631| |9803422|589.941887|590.147081|-0.205194| |9803423|622.295016|622.850459|-0.555443| |9803424|417.989991|417.299184|0.690807| |9803425|593.221453|592.342793|0.878659| |9803426|596.516778|596.611715|-0.094937| |9803427|556.211774|556.193082|0.018692| |9803428|609.379463|609.456425|-0.076962| |9803429|458.173254|458.263809|-0.090555| |9803430|520.154018|519.549659|0.604359| |9803431|451.685586|451.241955|0.443631| |9803432|590.361044|589.248155|1.112889| |9803433|497.542706|497.518264|0.024443| |9803434|505.899539|505.922510|-0.022971| |9803435|606.663476|604.870272|1.793204| |9803436|382.379773|381.522698|0.857075| |9803437|577.734958|577.172664|0.562293| |9803438|637.699322|636.545211|1.154112| |9803439|392.566093|392.660710|-0.094618| |9803440|517.769252|517.301252|0.468000| |9803441|644.480365|642.851068|1.629297| |9803442|545.374593|544.829972|0.544621| |9803443|421.073444|420.297834|0.775609| ```json {"columns":["seed","TC-A edge","qt1 edge","diff"],"rows":[[9803316,425.096561130639,424.9167085500555,0.17985258058348563],[9803317,538.022539781548,537.260046427604,0.7624933539439098],[9803318,559.8183321400048,559.73846508895,0.0798670510548618],[9803319,519.9949999800707,519.4349213370855,0.5600786429852178],[9803320,582.0114116950854,582.0269783737648,-0.015566678679419965],[9803321,482.06778163352277,482.50541591121015,-0.43763427768737984],[9803322,452.91504305999837,452.03288507907644,0.8821579809219315],[9803323,523.9486883664631,521.7401372999066,2.208551066556538],[9803324,401.4624877049581,401.1955768779047,0.26691082705337976],[9803325,727.9876102276877,727.0166532825676,0.970956945120065],[9803326,553.059596087964,553.0368789425652,0.022717145398814864],[9803327,460.9471671499234,459.946637579704,1.0005295702194417],[9803328,568.4849277666781,567.9917393090495,0.49318845762854835],[9803329,473.0784116264455,472.37689152032004,0.7015201061254288],[9803330,594.0007213095855,593.3824572734185,0.6182640361670337],[9803331,581.9472945275486,580.091157525072,1.8561370024765438],[9803332,589.0078181603366,587.6082688452371,1.3995493150994207],[9803333,542.5244465717715,541.9715203102611,0.5529262615103789],[9803334,445.5469117613121,445.3226118613183,0.2242998999938095],[9803335,473.7387595863316,472.8752056423916,0.8635539439399622],[9803336,444.8787471846439,444.4248931776752,0.4538540069686974],[9803337,546.1915462584653,545.8856842019298,0.3058620565354886],[9803338,590.8947801267019,590.9185168853355,-0.023736758633617683],[9803339,449.1555032394081,449.20288801321647,-0.04738477380834638],[9803340,384.71655154673044,384.92037395584396,-0.20382240911351346],[9803341,536.3473197687433,535.5172852349937,0.8300345337496537],[9803342,449.2861197135696,447.56894873163196,1.7171709819376133],[9803343,420.73123633188237,420.32409552691945,0.40714080496292127],[9803344,489.4014291172634,489.1657420408299,0.23568707643346443],[9803345,505.5713590847236,505.9009422241995,-0.3295831394759148],[9803346,436.8601986928276,436.2601788136297,0.6000198791979301],[9803347,569.911258955327,570.5108824375322,-0.5996234822052884],[9803348,451.31983902368586,450.9423842333199,0.3774547903659595],[9803349,439.57161833170676,440.1038466492342,-0.5322283175274265],[9803350,476.1235745865447,476.00501198019333,0.11856260635136096],[9803351,388.52414776257405,387.94986609957675,0.5742816629972936],[9803352,556.4945866837436,555.8126948701929,0.681891813550692],[9803353,466.2046288649971,466.53550129901026,-0.3308724340131448],[9803354,653.7878563333591,652.8793939910461,0.908462342312987],[9803355,547.6466233432982,547.0301176735359,0.6165056697623186],[9803356,393.4955795101,393.3084907033133,0.18708880678673268],[9803357,563.29981778489,561.9800542648317,1.319763520058359],[9803358,642.283617587065,641.7944831742795,0.4891344127854609],[9803359,530.3670887144219,529.7890006348337,0.5780880795882695],[9803360,661.7256376450747,661.137203962726,0.5884336823487502],[9803361,815.1463631512454,814.9054125688589,0.24095058238651745],[9803362,616.8054187107713,616.5851853486365,0.2202333621347634],[9803363,403.7831582229951,403.6407225677147,0.14243565528039426],[9803364,586.4201388982696,587.279989100192,-0.859850201922427],[9803365,518.3306531800546,517.7557837514083,0.5748694286462523],[9803366,485.21951432559416,483.6638940198107,1.5556203057834637],[9803367,408.2214347263774,407.8307694532529,0.3906652731245117],[9803368,665.1957761910511,664.441124550554,0.7546516404970589],[9803369,656.9421891192029,656.6193349878672,0.32285413133570273],[9803370,571.1550343997429,570.7035283903048,0.45150600943816244],[9803371,566.0098494601727,565.8746950874798,0.13515437269290942],[9803372,502.4566007646844,502.50055674545695,-0.04395598077252316],[9803373,584.8379910717753,584.833261028617,0.004730043158247099],[9803374,597.9649357246112,596.2656280278368,1.69930769677444],[9803375,490.3581199666959,489.65066743958863,0.7074525271072503],[9803376,492.6728777922896,493.0647936659771,-0.3919158736874806],[9803377,477.9773692096945,477.4667447176573,0.5106244920371523],[9803378,490.13771694974406,489.02686562074365,1.1108513290004112],[9803379,447.5807719559247,446.57341882054584,1.007353135378878],[9803380,514.6520483994183,513.5549294870127,1.0971189124055627],[9803381,513.586063362133,513.4361129394201,0.14995042271289094],[9803382,663.4590455877043,662.6638577637968,0.7951878239074404],[9803383,526.3824281519883,526.2398846785477,0.1425434734405826],[9803384,598.5993799173999,597.8576246502306,0.7417552671693102],[9803385,528.943374323456,527.6480454033142,1.2953289201418556],[9803386,577.9277732456468,577.6372812031605,0.29049204248633487],[9803387,614.540310232826,614.5105620888413,0.029748143984647868],[9803388,551.040160395277,550.3568219701754,0.6833384251016241],[9803389,542.6171197307226,542.2343564392122,0.38276329151040045],[9803390,468.14835141462373,467.5700763628321,0.5782750517916497],[9803391,448.7145087389793,448.4003939295524,0.31411480942688286],[9803392,802.3512202386926,802.0270527980955,0.3241674405970798],[9803393,531.6301416861703,531.0833621048477,0.546779581322653],[9803394,533.4229368029792,533.2747229265783,0.1482138764008596],[9803395,503.7945852747621,503.0998748073989,0.6947104673631657],[9803396,463.6676401916459,463.48372419501385,0.18391599663203806],[9803397,639.1497182252591,639.1094441682847,0.04027405697445374],[9803398,433.6217123286418,433.4666204513738,0.15509187726803475],[9803399,576.5411507643042,575.5214205286483,1.0197302356559703],[9803400,489.607847223753,489.4810497736884,0.12679745006460053],[9803401,425.5161913791482,424.93922325311473,0.5769681260334778],[9803402,448.02919075020196,447.24983690234336,0.7793538478586015],[9803403,625.2447002460101,625.1232284758843,0.12147177012582233],[9803404,503.8752676346622,504.01622670679546,-0.14095907213328474],[9803405,688.9744815033379,688.1918006237654,0.7826808795724673],[9803406,533.4900845584917,532.3238797763538,1.1662047821379247],[9803407,435.1151421952239,433.89197996497745,1.2231622302464302],[9803408,622.9336063264793,622.7807331326061,0.1528731938732335],[9803409,398.7119632054808,398.55277180075007,0.15919140473073412],[9803410,537.6713625063425,536.5427138408218,1.1286486655207],[9803411,413.78274022349456,413.7071846579974,0.07555556549715448],[9803412,474.4042538751796,474.38237704247484,0.021876832704776916],[9803413,412.1044733284955,411.06977545391067,1.0346978745848219],[9803414,402.1260170011835,402.76468568170975,-0.6386686805262229],[9803415,625.3252120724067,625.1822938316734,0.14291824073325188],[9803416,643.837206099892,644.1529107430204,-0.3157046431283561],[9803417,408.31629717458605,408.36180823495687,-0.04551106037081354],[9803418,426.6911833548072,425.711344381698,0.9798389731092243],[9803419,366.48106445346053,365.5953178032891,0.8857466501714271],[9803420,494.7590236305366,494.7682678874467,-0.009244256910108106],[9803421,604.7707146418552,604.218083456547,0.5526311853082007],[9803422,589.941887098607,590.1470812950394,-0.2051941964323305],[9803423,622.2950163237094,622.8504591619715,-0.5554428382620245],[9803424,417.98999147388736,417.29918437444167,0.6908070994456921],[9803425,593.2214525997093,592.3427931165664,0.8786594831428829],[9803426,596.5167782473974,596.6117151539117,-0.09493690651436282],[9803427,556.2117743023356,556.1930820716447,0.018692230690930955],[9803428,609.3794630917525,609.456425371198,-0.07696227944541079],[9803429,458.17325413930047,458.26380889062517,-0.09055475132470292],[9803430,520.1540177122927,519.5496585036682,0.6043592086244871],[9803431,451.68558640212893,451.2419549364918,0.443631465637111],[9803432,590.3610443063035,589.2481553318825,1.1128889744210255],[9803433,497.542706125764,497.5182635333756,0.024442592388425055],[9803434,505.8995386204877,505.9225099851571,-0.022971364669388095],[9803435,606.6634762773147,604.8702722988902,1.793203978424458],[9803436,382.37977325966574,381.52269843423966,0.857074825426082],[9803437,577.7349575333848,577.1726640718516,0.5622934615331587],[9803438,637.6993223183163,636.5452107669357,1.154111551380538],[9803439,392.5660925674144,392.66071035129096,-0.09461778387657205],[9803440,517.7692519571845,517.3012522048069,0.4679997523775228],[9803441,644.4803646836788,642.8510676927185,1.6292969909602562],[9803442,545.3745931320343,544.8299723739524,0.5446207580819191],[9803443,421.07344374319524,420.2978344978075,0.7756092453877272]]} ``` Raw gas_stats(), unmodified records for each chunk and arm. The helper calls candidate first, then baseline=qt1, resetting stats before each arm; role Baseline inside each record is VanillaStrategy. Seeds [9803316,9803332), engine exit 0: ```json 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``` Seeds [9803348,9803364), engine exit 0: ```json 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``` Seeds [9803364,9803380), engine exit 0: ```json 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``` Seeds [9803428,9803444), engine exit 0: ```json 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``` Commands and exit codes (run from the repository root for clone, then from checkout root; diagnostic reads and report checks also exited 0): ```text uname -sm -> 0 git clone https://github.com/benedictbrady/amm-challenge test/scratch/challenge -> 0 git checkout 6b6921f8d463314aa7c96234e1be25a25245f704 -> 0 python3 urllib.request.urlretrieve: pinned K/{tools/setup.sh,contracts/Candidate.sol,reference/qt1/Strategy.sol,tools/check.py,tools/engine.py} to scratch/{setup.sh,Candidate.sol,qt1.sol,check.py,engine.py} -> 0 sha256sum scratch/Candidate.sol scratch/qt1.sol -> 0 timeout 470 sh scratch/setup.sh > scratch/setup.log 2>&1 -> 0 (once) . scratch/env.sh && timeout 470 python: check.compiled for both sources; runtime assertion ==21102 -> 0 . scratch/env.sh && timeout 470 amm-match validate scratch/Candidate.sol -> 0 ``` Each following command was prefixed `. scratch/env.sh && ` and its stdout/stderr saved under scratch/ with the same basename and .log suffix. No chunk was rerun. ```text timeout 470 python scratch/engine.py scratch/Candidate.sol scratch/qt1.sol 9803316 9803332 scratch/sf2_9803316_9803332.json -> 0 timeout 470 python scratch/engine.py scratch/Candidate.sol scratch/qt1.sol 9803332 9803348 scratch/sf2_9803332_9803348.json -> 0 timeout 470 python scratch/engine.py scratch/Candidate.sol scratch/qt1.sol 9803348 9803364 scratch/sf2_9803348_9803364.json -> 0 timeout 470 python scratch/engine.py scratch/Candidate.sol scratch/qt1.sol 9803364 9803380 scratch/sf2_9803364_9803380.json -> 0 timeout 470 python scratch/engine.py scratch/Candidate.sol scratch/qt1.sol 9803380 9803396 scratch/sf2_9803380_9803396.json -> 0 timeout 470 python scratch/engine.py scratch/Candidate.sol scratch/qt1.sol 9803396 9803412 scratch/sf2_9803396_9803412.json -> 0 timeout 470 python scratch/engine.py scratch/Candidate.sol scratch/qt1.sol 9803412 9803428 scratch/sf2_9803412_9803428.json -> 0 timeout 470 python scratch/engine.py scratch/Candidate.sol scratch/qt1.sol 9803428 9803444 scratch/sf2_9803428_9803444.json -> 0 ``` Problems: none in setup, compilation, validation or assigned engine chunks. The findings apply to these 128 seeds only and do not establish a leaderboard score or independently verify replica gates. Sources (remote code documents the method; numeric results above are local measurements): - [S1](https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/4eb3e985fd31e3cd17832501b95b6d2491aca73d/contracts/Candidate.sol) - [S2](https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/4eb3e985fd31e3cd17832501b95b6d2491aca73d/reference/qt1/Strategy.sol) - [S3](https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/4eb3e985fd31e3cd17832501b95b6d2491aca73d/tools/setup.sh) - [S4](https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/4eb3e985fd31e3cd17832501b95b6d2491aca73d/tools/engine.py) - [S5](https://raw.githubusercontent.com/identity-md-launches/goal-3170-beat-network-s-amm-entry/4eb3e985fd31e3cd17832501b95b6d2491aca73d/tools/check.py) - [S6](https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/competition/match.py) - [S7](https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/contracts/src/VanillaStrategy.sol) - [S8](https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/evm/compiler.py) Deliverable checks (exit 0): parsed every JSON block and sources.json; verified 128 unique consecutive seeds and 128 Markdown rows; independently recomputed mean, sample SE, worst5 and per-arm gas aggregates; confirmed gas limits and output size. All eight source URLs were fetched again and their exact quotes verified. Both output files remain untracked; no git add was used.