# qb1 — qm-2 fresh-seed engine comparison

**Result.** On seeds 9614336–9614591, qm-2 recorded five `afterSwap` OutOfGas calls and a 247,997-gas successful-call peak. It therefore fails the stated zero-OutOfGas and 245,000-gas targets on this block. The paired edge results below still use all 256 returned simulations per arm. The policy is credited to Taylor (gtmcknight), whose [solved-game reference](https://raw.githubusercontent.com/gtmcknight/amm-sim/4812a6382311624e1506aca131ca35c378f930d9/research/solved/README.md) describes the dynamic program.

## Sources and execution

The four byte-exact Solidity sources came from their linked artifacts below. I checked their SHA-256 digests, then ran `amm-match validate` on each in the [pinned challenge checkout](https://github.com/benedictbrady/amm-challenge/tree/6b6921f8d463314aa7c96234e1be25a25245f704) after running the [provided setup script](https://api.imd.fun/artifacts/e8c967d6358da0fd53117891357f19a1d684225bd71a5e302b6e299c85f1286c) once. Each arm ran alone against `VanillaStrategy` (30 bps) with `amm_sim_rs.run_batch(arm, VanillaStrategy, configs, 8)`. Each seed used `np.random.default_rng(seed)`, drawing retail mean size, arrival rate, then GBM sigma in the order of [`MatchRunner._build_configs`](https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/competition/match.py); remaining fields used [`build_base_config` and baseline variance](https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/competition/config.py). The engine used eight disjoint chunks of 32 seeds per arm, in qm-2, trim-1, t03, IB order. `gas_stats_reset()` preceded each chunk, and `gas_stats()` followed it. Each seed was run once per arm.

| Arm (source) | SHA-256 of Solidity source | Contract name | Runtime bytes | Validation |
|---|---|---|---:|---|
| [qm-2](https://api.imd.fun/artifacts/e50ab7b92163d8589bb2f75c49d6cda2a1012bb96a0f4a52620b887668f63264) | `50a741b97a7ed79237ecbd34a4bc20b5c70b7872d8916f31dc3fe3f72b4fe859` | `TaylorGaussianQmSpline` | 19,346 | pass |
| [trim-1](https://api.imd.fun/artifacts/fce772b9057867b241350b8e44c05298c6c877871a26b58702a5af431726f6c5) | `d849c5f15d69499560b5c3ea08f55ad27153b393eba7abb7dd186f451ad46a24` | `TaylorGaussianPlainNet2` | 16,077 | pass |
| [t03](https://api.imd.fun/artifacts/2333ecf28d4356bd232b85c1e55842e94e1ada05e1cd067830b5625dfdbc5336) | `cb6d945511e1e10af78baa64c2a6cb25806f0998403ce6440654bfc3c70092d9` | `censored_10` | 14,654 | pass |
| [IB](https://api.imd.fun/artifacts/afd5183e9ff3235334e041c00b0cd19079599a2c6464db95f8c1586712105557) | `301941829a44bb60977bb28181a5e4bfa6544f3696763f987054789b2611d686` | `inputs_b` | 14,528 | pass |

## Paired submission-edge differences

Difference = qm-2 submission edge minus comparator submission edge on the same seed. SE is sample standard deviation divided by √n; wins count strictly positive differences. The ordered extreme tuples are `(seed, difference)` in edge units.

| Comparator | n | Mean difference | SE | Wins | Worst five | Best five |
|---|---:|---:|---:|---:|---|---|
| trim-1 | 256 | +0.820368731 | 0.041729824 | 230 | (9614347, -0.922929118), (9614537, -0.859347532), (9614427, -0.706002973), (9614378, -0.563547649), (9614363, -0.558792301) | (9614411, +2.766117612), (9614490, +2.702835918), (9614462, +2.357008874), (9614518, +2.351596517), (9614566, +2.200009357) |
| t03 | 256 | +2.361278791 | 0.078007582 | 253 | (9614395, -0.220230582), (9614371, -0.084532358), (9614421, -0.023138088), (9614362, +0.028221384), (9614443, +0.096796331) | (9614373, +6.144904240), (9614407, +5.569209597), (9614463, +5.333057699), (9614570, +5.242238711), (9614569, +5.103409752) |
| IB | 256 | +3.122030261 | 0.096770760 | 255 | (9614509, -0.045165230), (9614443, +0.156615013), (9614421, +0.353164232), (9614396, +0.635475007), (9614575, +0.734413799) | (9614349, +14.934074216), (9614354, +8.136838526), (9614407, +7.108471215), (9614437, +6.104928307), (9614423, +5.998095568) |

## Submission `afterSwap` gas

Peak is `max_ok_gas`; mean is `sum_ok_gas / ok`, so failed calls are excluded from the mean. Totals aggregate all eight chunks.

| Arm | Calls | OutOfGas | Reverts | Peak gas | Mean gas (successful) | Engine seconds/seed |
|---|---:|---:|---:|---:|---:|---:|
| qm-2 | 2,813,060 | 5 | 0 | 247,997 | 155,174.727 | 0.337576 |
| trim-1 | 2,788,392 | 0 | 0 | 235,703 | 131,478.222 | 0.237090 |
| t03 | 2,792,576 | 0 | 0 | 235,406 | 135,473.015 | 0.214038 |
| IB | 2,770,007 | 0 | 0 | 232,022 | 135,140.593 | 0.205237 |

Per-chunk gas (`calls`, successful-call `peak`, `OutOfGas`):

| Arm | Seeds | Calls | Peak gas | OutOfGas |
|---|---|---:|---:|---:|
| qm-2 | 9614336–9614367 | 343,688 | 247,090 | 1 |
| qm-2 | 9614368–9614399 | 346,361 | 244,070 | 0 |
| qm-2 | 9614400–9614431 | 363,757 | 239,365 | 0 |
| qm-2 | 9614432–9614463 | 352,344 | 244,346 | 0 |
| qm-2 | 9614464–9614495 | 356,384 | 236,385 | 0 |
| qm-2 | 9614496–9614527 | 348,948 | 247,997 | 1 |
| qm-2 | 9614528–9614559 | 356,070 | 243,795 | 1 |
| qm-2 | 9614560–9614591 | 345,508 | 238,595 | 2 |
| trim-1 | 9614336–9614367 | 340,534 | 223,221 | 0 |
| trim-1 | 9614368–9614399 | 343,328 | 221,438 | 0 |
| trim-1 | 9614400–9614431 | 360,775 | 225,974 | 0 |
| trim-1 | 9614432–9614463 | 349,320 | 235,703 | 0 |
| trim-1 | 9614464–9614495 | 353,292 | 221,326 | 0 |
| trim-1 | 9614496–9614527 | 345,722 | 231,085 | 0 |
| trim-1 | 9614528–9614559 | 352,977 | 223,837 | 0 |
| trim-1 | 9614560–9614591 | 342,444 | 234,373 | 0 |
| t03 | 9614336–9614367 | 341,953 | 235,406 | 0 |
| t03 | 9614368–9614399 | 343,971 | 235,406 | 0 |
| t03 | 9614400–9614431 | 359,959 | 232,379 | 0 |
| t03 | 9614432–9614463 | 350,000 | 232,735 | 0 |
| t03 | 9614464–9614495 | 353,232 | 232,506 | 0 |
| t03 | 9614496–9614527 | 346,326 | 235,259 | 0 |
| t03 | 9614528–9614559 | 353,027 | 232,482 | 0 |
| t03 | 9614560–9614591 | 344,108 | 232,481 | 0 |
| IB | 9614336–9614367 | 338,907 | 231,882 | 0 |
| IB | 9614368–9614399 | 341,423 | 213,469 | 0 |
| IB | 9614400–9614431 | 356,543 | 230,399 | 0 |
| IB | 9614432–9614463 | 347,222 | 232,014 | 0 |
| IB | 9614464–9614495 | 350,218 | 231,917 | 0 |
| IB | 9614496–9614527 | 343,959 | 231,962 | 0 |
| IB | 9614528–9614559 | 350,089 | 232,022 | 0 |
| IB | 9614560–9614591 | 341,646 | 231,905 | 0 |

**Seeds not run:** none. All 256 seeds have a returned submission edge for every arm. Validation passed for all four sources. `qm-2` had five OutOfGas calls; the other arms recorded zero OutOfGas and zero reverts.

## Per-seed submission edge (CSV)

Values are reported to nine decimal places, from the engine’s `edges["submission"]` for each standalone arm-versus-vanilla run.

```csv
seed,qm2,trim1,t03,IB
9614336,669.699264886,668.340479050,665.726367906,666.599765454
9614337,426.967253922,426.407713820,425.109301094,424.177541248
9614338,512.759415130,511.600080861,510.287655413,510.842990386
9614339,449.090045312,448.912380531,448.839707463,447.806153943
9614340,581.918293912,580.479619936,578.398106995,577.422304187
9614341,470.619982754,469.059342813,469.610249245,467.771334103
9614342,444.397831228,443.809236727,443.817383531,443.112252406
9614343,458.795819349,458.479582523,457.183830919,457.916912315
9614344,423.756504102,422.529053896,422.255181685,421.265283064
9614345,550.206958927,549.487814048,545.660216360,546.357861244
9614346,569.219219455,568.146404185,565.139278654,565.137996408
9614347,676.295784421,677.218713539,674.313534205,673.576101084
9614348,451.729906004,450.563039399,448.479668480,448.596897011
9614349,500.668928666,499.499689501,497.355435491,485.734854450
9614350,436.378901558,435.484167263,435.391510194,435.237444464
9614351,487.349843084,485.777581849,484.500021198,484.161012548
9614352,379.489136853,378.687609542,378.597471180,378.267054419
9614353,540.193558121,539.316524178,536.495688144,536.174513215
9614354,660.807306622,658.636609457,655.786498897,652.670468096
9614355,481.519314699,480.826176118,478.363928906,478.365953071
9614356,492.197540272,491.165550638,489.852767132,489.473877686
9614357,376.047408232,375.784593560,374.650165744,375.048568387
9614358,640.821440391,640.139052796,638.721838153,638.453811417
9614359,433.793763657,432.671365539,432.294915808,432.362006488
9614360,422.065684360,420.490453445,419.678299769,419.061424785
9614361,482.219129065,482.484124918,479.197657742,478.904947337
9614362,583.518817359,582.846408823,583.490595976,581.545876254
9614363,733.725090465,734.283882766,730.815687421,729.113392388
9614364,617.167990205,616.178506245,613.353293230,612.882925764
9614365,525.772461262,525.688828578,525.017322026,524.651154688
9614366,573.099937060,573.007792552,571.758885622,570.860609383
9614367,607.401516163,606.383263699,606.694552273,604.294281278
9614368,716.727172045,716.426187815,713.692276565,713.265832831
9614369,461.635878470,461.110970065,460.422555611,460.307472378
9614370,471.628518690,471.129753751,471.144558233,468.916351877
9614371,465.434975704,464.925147661,465.519508062,463.627370189
9614372,676.266621974,676.682196628,675.099519713,674.709197437
9614373,680.601469977,679.556259699,674.456565737,675.501186626
9614374,447.006899549,446.067568155,444.111073230,444.832655968
9614375,409.966146342,409.390137398,407.761766850,407.820970880
9614376,461.418993460,460.245899701,459.412570947,459.013432282
9614377,655.473446819,655.384263409,652.561645580,652.510302996
9614378,678.678581074,679.242128723,676.394863069,676.638296139
9614379,428.653599535,427.525756835,426.245890914,426.155901444
9614380,515.927826129,515.048961755,513.752308021,512.291956991
9614381,537.319408657,536.032707937,534.505241048,533.637011122
9614382,460.978995760,460.400923894,459.519339743,458.734959688
9614383,606.827357167,606.258096571,604.777378414,602.445837598
9614384,506.574563796,506.155727301,505.454144795,505.063464581
9614385,608.587503453,607.316959547,607.353641224,605.795231334
9614386,374.722807517,374.104686094,374.182797570,373.739858610
9614387,563.255194904,562.041464850,561.178000846,561.495676382
9614388,421.760093839,420.415000644,420.396483299,419.618365966
9614389,475.128980000,474.407773863,471.187930929,472.087072215
9614390,680.100445052,680.064846554,676.719464910,677.008756417
9614391,403.722261691,402.638580587,403.082232196,402.244696103
9614392,587.075982448,586.397940388,585.585236097,584.764536784
9614393,502.147107043,501.784632684,500.286154600,499.573247547
9614394,538.573817713,537.544428799,535.610856899,535.108932626
9614395,376.741989430,376.363433249,376.962220012,375.855680000
9614396,536.341397146,535.343262722,535.675045568,535.705922139
9614397,486.889835574,485.958483491,483.944412060,483.237756226
9614398,566.293488109,564.846063968,563.163156723,563.285348460
9614399,556.645495959,556.625939297,554.090829813,553.859425383
9614400,607.448944497,606.052420879,604.265588079,601.618833988
9614401,609.222466780,608.938369397,606.174955256,605.451907047
9614402,528.299653912,527.273352022,526.086143734,525.443601592
9614403,517.121943451,515.506156300,514.685555041,514.069854114
9614404,461.629008340,461.101789670,459.127368902,458.126932752
9614405,608.974676586,609.491272552,607.873428946,606.339932837
9614406,566.860931193,565.281333166,564.784884472,563.523901390
9614407,607.813698635,605.957214268,602.244489037,600.705227419
9614408,502.506481792,500.983530876,499.320171686,497.988933983
9614409,585.838672569,585.670905003,583.645973977,582.749044962
9614410,532.186778115,531.423792997,530.249854376,529.649278368
9614411,538.199401837,535.433284225,534.508688042,533.937367373
9614412,487.733932088,487.142355608,486.202659461,484.875941800
9614413,627.523044242,627.835744435,623.949624513,623.562217369
9614414,661.859980602,661.361900963,660.112625208,659.681882386
9614415,464.078135105,463.543652779,461.978480180,461.725192687
9614416,439.072529509,437.954947485,437.274737970,436.651947345
9614417,571.280780102,570.252548106,566.968960920,566.341092539
9614418,624.289552237,623.208199781,621.322049887,618.632762992
9614419,675.158283530,674.655485848,671.678712037,669.635924123
9614420,739.636818275,739.489963441,736.941732610,736.308080111
9614421,389.116522832,388.286710315,389.139660920,388.763358600
9614422,554.768586231,553.579954443,550.094537835,549.600481486
9614423,710.671184736,710.744157741,707.096034827,704.673089168
9614424,500.287654118,499.542766320,498.690898452,497.892049572
9614425,645.381227700,644.177127593,642.211113310,639.967134615
9614426,395.110026858,393.789229655,394.097479362,393.449954030
9614427,601.441307754,602.147310727,598.332226666,598.227838175
9614428,645.931838121,645.333285759,641.551554971,640.589328440
9614429,598.542619624,597.220789025,594.529720066,592.926241856
9614430,591.004707869,590.004535901,588.633373531,587.190042342
9614431,540.840021927,540.986807369,539.109602496,539.465997401
9614432,612.848178450,612.326023212,608.675012801,607.327267501
9614433,565.128394215,565.470154390,562.419161127,561.176051103
9614434,455.870799024,455.236399263,454.645111574,454.380429533
9614435,553.847231892,551.768757428,551.061842289,551.157885638
9614436,567.487803470,565.468715428,564.130869097,562.000408157
9614437,540.387814459,540.054115086,537.294657239,534.282886152
9614438,355.263610277,355.040106263,355.056866358,354.526167051
9614439,402.761653434,402.320639158,402.040051240,400.455696716
9614440,436.844831142,436.063665521,433.820413129,433.087665789
9614441,579.503227624,579.056279889,575.934320128,576.498900540
9614442,470.499079315,469.185807422,470.237347799,469.236046353
9614443,427.243908841,426.258374332,427.147112510,427.087293828
9614444,419.728151865,418.436792326,417.892380888,417.917622278
9614445,548.460038843,548.295975755,546.192165133,546.010531127
9614446,592.353871738,590.629207715,589.332455104,589.306656525
9614447,672.249265197,671.988682414,669.136776251,668.973430401
9614448,551.110657688,550.850783904,548.059149172,547.070472206
9614449,566.042432767,565.558885571,562.268956225,562.204300999
9614450,572.469021165,571.450302462,570.190072660,569.393734759
9614451,365.739958595,365.751227527,364.914464462,363.511145951
9614452,557.473949268,556.925034814,554.764762305,554.680084375
9614453,718.828028237,717.933242762,715.883233670,715.144272460
9614454,457.082082793,456.325762190,455.581786294,454.779457113
9614455,684.895772343,684.556146173,681.578365245,681.536575823
9614456,484.720696421,483.919112715,482.989331363,482.415874902
9614457,613.986871258,614.289911199,612.194326814,609.320761330
9614458,560.395404223,559.977644662,559.522600755,558.309495964
9614459,475.917639851,475.569087991,473.400532249,471.648285284
9614460,463.308915750,462.373313342,460.504004424,459.757965084
9614461,483.425214721,483.918450837,479.145237555,480.743421119
9614462,489.909438980,487.552430107,486.701899176,486.172072137
9614463,694.190199898,694.012808790,688.857142199,688.448441365
9614464,421.472969135,420.695878762,421.257911134,420.037969784
9614465,590.186790685,590.449765201,586.131297015,585.715918442
9614466,579.374117674,578.875044664,576.289938556,575.583390309
9614467,456.448812204,455.690871091,455.875087797,455.394212305
9614468,420.920538667,419.860286678,419.430198197,418.439595114
9614469,439.580272930,438.599184430,438.507376438,437.229622709
9614470,456.141172259,455.959846008,455.093315815,454.688423851
9614471,615.932215254,614.748451826,612.771022051,612.757188554
9614472,616.630614992,616.226059619,615.444405732,614.414545600
9614473,453.754123022,452.486259785,452.218510900,450.155841921
9614474,583.458953066,582.384904174,579.379770253,579.669532822
9614475,506.243705050,504.718913704,503.417588622,503.099147039
9614476,410.660377333,409.816867246,409.163580453,408.812806434
9614477,430.844729740,430.846545603,428.909443791,428.315790397
9614478,515.545952948,514.053304972,514.196928072,512.942723513
9614479,588.093936337,588.073185599,585.775698029,585.722346612
9614480,406.766291737,404.918372738,404.639731549,405.208450949
9614481,607.998741910,607.333972911,605.369114950,602.904428606
9614482,602.893433779,603.053148320,600.991833602,600.993611466
9614483,620.347748284,620.511214196,615.830553865,614.589379427
9614484,414.800838635,413.612165290,413.445409989,413.392690101
9614485,668.598196202,668.530969810,665.340686354,663.467111659
9614486,559.403811736,557.924677977,555.360650186,555.830740886
9614487,396.869503760,396.137882142,395.587135870,394.485588770
9614488,772.991902752,771.792681955,769.002276860,768.409382136
9614489,628.341408548,627.455457851,627.214746773,626.287564078
9614490,555.831067746,553.128231828,553.456511938,551.423049070
9614491,579.665932230,578.688578545,578.736869845,577.071943203
9614492,610.555263438,608.746865691,609.135798102,607.534516012
9614493,532.904601332,532.325234628,528.960605584,528.155786306
9614494,697.492958871,697.411477800,694.450160742,693.710118980
9614495,557.850805857,556.640567022,554.517085905,554.004118895
9614496,624.559332295,623.378452046,620.975392965,620.003374401
9614497,439.169104216,438.377613902,437.150662059,436.479379073
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