1{
 2  "bench_version": 1,
 3  "track": "poisson_hodge_periodic",
 4  "model": "mlp_tiny",
 5  "metric_direction": "lower is better",
 6  "n_seeds": 8,
 7  "baseline": {
 8    "best_cfg": {
 9      "lr": 0.003
10    },
11    "sweep": [
12      {
13        "cfg": {
14          "lr": 0.001
15        },
16        "mean": 2.206587553024292
17      },
18      {
19        "cfg": {
20          "lr": 0.003
21        },
22        "mean": 1.1046047359704971
23      },
24      {
25        "cfg": {
26          "lr": 0.01
27        },
28        "mean": 1.2606632113456726
29      }
30    ],
31    "full": {
32      "mean": 1.0800504088401794,
33      "std": 0.10522868591444227,
34      "per_seed": [
35        1.1444686651229858,
36        0.8914604783058167,
37        1.1053142547607422,
38        1.2771755456924438,
39        1.091360092163086,
40        1.0986981391906738,
41        1.034430980682373,
42        0.9974951148033142
43      ],
44      "n": 8
45    }
46  },
47  "idea": {
48    "mean": 0.4011378400027752,
49    "std": 0.059436192075174005,
50    "per_seed": [
51      0.33402565121650696,
52      0.3543514013290405,
53      0.42588725686073303,
54      0.5025325417518616,
55      0.3978813886642456,
56      0.43913376331329346,
57      0.4413507878780365,
58      0.3139399290084839
59    ],
60    "n": 8,
61    "selected_cfg": {
62      "lr": 0.01
63    }
64  },
65  "comparison": {
66    "delta_mean": -0.6789125688374043,
67    "idea_wins": 8,
68    "n_pairs": 8,
69    "per_seed_diffs": [
70      -0.8104430139064789,
71      -0.5371090769767761,
72      -0.6794269979000092,
73      -0.7746430039405823,
74      -0.6934787034988403,
75      -0.6595643758773804,
76      -0.5930801928043365,
77      -0.6835551857948303
78    ],
79    "p_value": 0.0081,
80    "mde": 0.07381216084595137,
81    "mde_rel_pct": 6.834140355098345,
82    "verdict": "idea better (significant)",
83    "system_worked": true
84  },
85  "mechanism_signature": {
86    "mechanism_signature": {
87      "prediction": "div(curl A)=0 for trained dual model",
88      "baseline_observed_constraint_residual": 106.66156768798828,
89      "idea_observed_div_curl_max": 2.384185791015625e-07,
90      "confirmed": true
91    },
92    "custom_track": {
93      "name": "poisson_hodge_periodic",
94      "file": "bench_stage2.py",
95      "domain": "pde"
96    },
97    "runtime_sec": 21.82808494567871
98  }
99}