{ "bench_version": 1, "track": "burgers_periodic_split", "model": "custom_split_quadratic_net", "metric_direction": "lower is better", "n_seeds": 8, "baseline": { "best_cfg": { "lr": 0.01, "alpha": 1.0 }, "sweep": [ { "cfg": { "lr": 0.001, "alpha": 1.0 }, "mean": 0.006492269458249211 }, { "cfg": { "lr": 0.003, "alpha": 1.0 }, "mean": 0.0016466164756820945 }, { "cfg": { "lr": 0.01, "alpha": 1.0 }, "mean": 4.1648485307632654e-05 } ], "full": { "mean": 4.365622254454138e-05, "std": 4.107952621194168e-05, "per_seed": [ 0.00012220298231113702, 8.426587555732112e-06, 2.8994390959269367e-05, 6.969980404392118e-06, 8.339938176504802e-06, 0.00010017721069743857, 3.7151563446968794e-05, 3.698712680488825e-05 ], "n": 8 } }, "idea": { "mean": 4.3688922346518666e-05, "std": 4.108227626022683e-05, "per_seed": [ 0.00012215199240017682, 8.366856491193175e-06, 2.900941217376385e-05, 6.9578209149767645e-06, 8.438861186732538e-06, 0.00010030106932390481, 3.73090551875066e-05, 3.6976311093894765e-05 ], "n": 8 }, "comparison": { "delta_mean": 3.269980197728728e-08, "idea_wins": 4, "n_pairs": 8, "per_seed_diffs": [ -5.098991096019745e-08, -5.973106453893706e-08, 1.5021214494481683e-08, -1.2159489415353164e-08, 9.892301022773609e-08, 1.2385862646624446e-07, 1.5749174053780735e-07, -1.0815710993483663e-08 ], "p_value": 0.28455, "mde": 6.926491245136241e-08, "mde_rel_pct": 0.15865988492406347, "verdict": "no measurable effect", "system_worked": false }, "mechanism_signature": { "predicted": { "aliasing_root_alpha_for_tau4_i1_j1": 0.3333333333333333, "prediction": "alpha=1/3 reduces the dominant unresolved quadratic-product aliasing proxy" }, "observed": { "baseline_alpha": 1.0, "idea_alpha": 0.3333333333333333, "baseline_test_mse": 4.365622254454138e-05, "idea_test_mse": 4.3688922346518666e-05, "idea_sweep": [ { "cfg": { "lr": 0.001, "alpha": 0.3333333333333333 }, "mean": 0.006493119290098548 }, { "cfg": { "lr": 0.003, "alpha": 0.3333333333333333 }, "mean": 0.0016465794683426793 }, { "cfg": { "lr": 0.01, "alpha": 0.3333333333333333 }, "mean": 4.162152049502765e-05 } ] }, "confirmed": false, "measurement_note": "The trained-model aliasing proxy was not retained by the generic harness metric path; confirmation is false rather than inferred from the formula." }, "custom_track": { "name": "burgers_periodic_split", "file": "split_bench.py", "domain": "pde" } }