{ "bench_version": 1, "track": "sequence", "model": "transformer_tiny", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.003 }, "sweep": [ { "cfg": { "lr": 0.001 }, "mean": 0.1494479700922966 }, { "cfg": { "lr": 0.003 }, "mean": 0.14718072488904 }, { "cfg": { "lr": 0.01 }, "mean": 0.23090055957436562 } ], "full": { "mean": 0.14619511179625988, "std": 0.023272144211599243, "per_seed": [ 0.19329272210597992, 0.12494795769453049, 0.12228920310735703, 0.14819301664829254, 0.1282258927822113, 0.1327003538608551, 0.1498585343360901, 0.17005321383476257 ], "n": 8 }, "idea_lr_selected": 0.003 }, "idea": { "mean": 0.1398473186418414, "std": 0.011513116013381047, "per_seed": [ 0.15645107626914978, 0.13615846633911133, 0.14752109348773956, 0.13047337532043457, 0.1331927627325058, 0.12439116090536118, 0.13342459499835968, 0.1571660190820694 ], "n": 8 }, "comparison": { "delta_mean": -0.0063477931544184685, "idea_wins": 5, "n_pairs": 8, "per_seed_diffs": [ -0.03684164583683014, 0.011210508644580841, 0.025231890380382538, -0.01771964132785797, 0.004966869950294495, -0.008309192955493927, -0.016433939337730408, -0.012887194752693176 ], "p_value": 0.3787, "mde": 0.016241711340640855, "mde_rel_pct": 11.109613133492175, "verdict": "no significant win", "system_worked": false }, "math_check": { "M1": 3, "M2": 4, "gcd": 1, "physical_offsets": [ 0, 3, 4, 6, 8, 9 ], "physical_count": 6, "physical_formula": 6, "virtual_offsets": [ 0, 3, 4, 6, 7, 8, 9, 10, 11, 13, 14, 17 ], "virtual_count": 12, "graph_reachable": [ 0, 3, 4, 6, 7, 8, 9, 10, 11, 13, 14, 17 ], "noncoprime_2_4_virtual_count": 6, "claim_holds": true }, "idea_sweep": [ { "lr": 0.001, "mean": 0.1506526917219162, "std": 0.011124472883780578 }, { "lr": 0.003, "mean": 0.1398473186418414, "std": 0.011513116013381047 }, { "lr": 0.01, "mean": 0.3220752514898777, "std": 0.1023727956412049 } ], "protocol_note": "Baseline and idea use paired sequence datasets and identical non-attention architecture.", "mechanism_signature": { "predicted_virtual_offsets": [ 0, 3, 4, 6, 7, 8, 9, 10, 11, 13, 14, 17 ], "observed_nonzero_input_offsets": [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31 ], "predicted_offsets_observed": [ 0, 3, 4, 6, 7, 8, 9, 10, 11, 13, 14, 17 ], "coverage": 1.0, "confirmed": true } }