{"key": "s2-lowp-a", "idea": "Paired measurement of frozen candidate d-s2-lowp-early-bids (smaller new main bids at very low probability early in the run, spread 2) vs comparator N on seeds 430500-430999", "candidate_sha256": "c3f52bdfbcc3a516d10172da7496dc8e9ac5c3cf4bee6b083566673a03f5a6cd", "comparator_sha256": "bf0d179f3e47d28819f6fa7e0d25548c2ced43374c216d36460b00a26a26ffae", "seeds": {"start": 430500, "end": 430999}, "n": 500, "complete": true, "missing_seeds": [], "failures": [], "check_values": [17.116002, 20.017111, 2.390311, 241.484752], "python_version": "3.12.3", "seconds_per_simulation": 0.839, "overall": {"n": 500, "sum_d": 11.423655899199936, "sum_d2": 70.48947290731059, "mean_diff": 0.022847311798399873, "se": 0.016777271709322483, "comparator_mean": 109.4414535838618, "candidate_mean": 109.4643008956602, "retail_diff": -0.00045781886960003247, "arb_diff": 0.02330513066840004}, "by_spread": {"1": {"n": 122, "sum_d": 0.0, "sum_d2": 0.0, "mean_diff": 0.0, "se": 0.0, 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0.0], [430733, 1, 0.0], [430734, 4, 0.0], [430735, 3, 0.0], [430736, 1, 0.0], [430737, 3, 0.0], [430738, 4, 0.0], [430739, 4, 0.0], [430740, 2, 0.0], [430741, 3, 0.0], [430742, 4, 0.0], [430743, 3, 0.0], [430744, 4, 0.0], [430745, 1, 0.0], [430746, 1, 0.0], [430747, 2, 0.0], [430748, 3, 0.0], [430749, 2, 0.0], [430750, 2, 0.0], [430751, 2, 7.167017], [430752, 2, 0.0], [430753, 2, 0.0], [430754, 4, 0.0], [430755, 3, 0.0], [430756, 3, 0.0], [430757, 4, 0.0], [430758, 3, 0.0], [430759, 1, 0.0], [430760, 3, 0.0], [430761, 2, 0.0], [430762, 4, 0.0], [430763, 3, 0.0], [430764, 2, 0.0], [430765, 2, 0.0], [430766, 2, 0.0], [430767, 3, 0.0], [430768, 1, 0.0], [430769, 2, 0.0], [430770, 1, 0.0], [430771, 3, 0.0], [430772, 1, 0.0], [430773, 3, 0.0], [430774, 4, 0.0], [430775, 1, 0.0], [430776, 4, 0.0], [430777, 3, 0.0], [430778, 4, 0.0], [430779, 2, -0.091555], [430780, 2, 0.0], [430781, 4, 0.0], [430782, 1, 0.0], [430783, 3, 0.0], [430784, 4, 0.0], [430785, 3, 0.0], [430786, 2, 0.0], [430787, 1, 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[430843, 4, 0.0], [430844, 3, 0.0], [430845, 2, 0.0], [430846, 4, 0.0], [430847, 4, 0.0], [430848, 1, 0.0], [430849, 1, 0.0], [430850, 4, 0.0], [430851, 2, 0.0], [430852, 3, 0.0], [430853, 3, 0.0], [430854, 4, 0.0], [430855, 1, 0.0], [430856, 3, 0.0], [430857, 2, 0.0], [430858, 2, 0.0], [430859, 2, 0.0], [430860, 1, 0.0], [430861, 1, 0.0], [430862, 1, 0.0], [430863, 3, 0.0], [430864, 3, 0.0], [430865, 4, 0.0], [430866, 3, 0.0], [430867, 1, 0.0], [430868, 2, 0.0], [430869, 4, 0.0], [430870, 2, 0.0], [430871, 1, 0.0], [430872, 4, 0.0], [430873, 3, 0.0], [430874, 4, 0.0], [430875, 2, 0.0], [430876, 2, 0.0], [430877, 4, 0.0], [430878, 2, 0.0], [430879, 3, 0.0], [430880, 2, 0.0], [430881, 1, 0.0], [430882, 3, 0.0], [430883, 4, 0.0], [430884, 3, 0.0], [430885, 1, 0.0], [430886, 1, 0.0], [430887, 3, 0.0], [430888, 3, 0.0], [430889, 3, 0.0], [430890, 1, 0.0], [430891, 2, 1.430615], [430892, 3, 0.0], [430893, 4, 0.0], [430894, 4, 0.0], [430895, 2, 0.0], [430896, 1, 0.0], [430897, 1, 0.0], 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0.0], [430953, 2, 0.0], [430954, 1, 0.0], [430955, 3, 0.0], [430956, 2, 0.0], [430957, 4, 0.0], [430958, 2, 0.0], [430959, 2, 0.0], [430960, 1, 0.0], [430961, 3, 0.0], [430962, 2, 0.0], [430963, 1, 0.0], [430964, 4, 0.0], [430965, 4, 0.0], [430966, 1, 0.0], [430967, 4, 0.0], [430968, 4, 0.0], [430969, 2, 0.0], [430970, 3, 0.0], [430971, 2, 0.0], [430972, 1, 0.0], [430973, 2, 0.0], [430974, 3, 0.0], [430975, 3, 0.0], [430976, 4, 0.0], [430977, 2, 0.0], [430978, 1, 0.0], [430979, 1, 0.0], [430980, 1, 0.0], [430981, 4, 0.0], [430982, 3, 0.0], [430983, 4, 0.0], [430984, 1, 0.0], [430985, 4, 0.0], [430986, 1, 0.0], [430987, 1, 0.0], [430988, 3, 0.0], [430989, 4, 0.0], [430990, 3, 0.0], [430991, 3, 0.0], [430992, 1, 0.0], [430993, 4, 0.0], [430994, 3, 0.0], [430995, 4, 0.0], [430996, 4, 0.0], [430997, 2, 0.0], [430998, 4, 0.0], [430999, 2, 0.0]], "notes": "Both hashes verified by script. Simulator at b244530 unmodified, default configs, 2000 steps, single process, no sandbox. Check values for N on 310000..310003 matched. Spread s from sampled config, confirmed for every seed and both strategies: first rival ask-bid = 2s-1. Exactly one record per strategy per seed; no failures. Differences are exactly zero on spreads 1,3,4, as expected for a spread-2-only change."}