{
  "L1_explicit_overflow_depth": 171,
  "L1_violations": 0,
  "L1_proxy_crossings": 0,
  "L1_ph_max_norm": 1.218503342542834,
  "L1_std_max_norm": 7.855728897651517e+43,
  "L1_bound_ratio_median": 0.02162615448313788,
  "L2_transport_logdet_error": 4.4408920985006255e-14,
  "L2_error_by_h": {
    "0.5": 0.0028953186786164764,
    "0.25": 0.0004523895459245253,
    "0.125": 5.1969088343373215e-05
  },
  "L2_error_ratio_half": 6.400056554577233,
  "L2_error_ratio_quarter": 8.7049736746481,
  "L3_ph_final_over_start": 0.5506381271192547,
  "L3_ph_max": 1.0,
  "L3_std_spread": [
    1.8564216418933102e+33,
    5.143431454298041e+34
  ],
  "L4_boundary_hj": 0.3122498999199199,
  "L4_cayley_modulus_minus_one": -0.04878048780487798,
  "L5_readout_acc_ph": 0.9808333333333333,
  "L5_readout_acc_std": 0.3829166666666666,
  "L5_readout_acc_ph_seed_std": 0.007660323462854258,
  "L5_readout_acc_std_seed_std": 0.033202869688560885,
  "L5_readout_by_depth_ph": {
    "10": [
      0.9816666666666666,
      0.009260879487872018
    ],
    "30": [
      0.9816666666666668,
      0.009147707666708409
    ],
    "60": [
      0.9808333333333333,
      0.008559432743405895
    ],
    "90": [
      0.9816666666666668,
      0.008312473893025012
    ],
    "120": [
      0.9808333333333333,
      0.007660323462854258
    ]
  },
  "L5_readout_by_depth_std": {
    "10": [
      0.7729166666666667,
      0.0772194743715743
    ],
    "30": [
      0.5779166666666666,
      0.018037384018261146
    ],
    "60": [
      0.45875,
      0.021433035249352788
    ],
    "90": [
      0.3954166666666667,
      0.05212498334665333
    ],
    "120": [
      0.3829166666666666,
      0.033202869688560885
    ]
  },
  "L5_ph_sv_range": [
    0.0021029225443510145,
    5.543687274098616
  ],
  "L5_std_sv_range": [
    2.236605875538599,
    1.2417434345816013e+19
  ],
  "L5_terminal_pairwise_cosine_ph": 0.26060479507845036,
  "L5_terminal_pairwise_cosine_std": 0.8345156857375414,
  "L5_self_cosine_ph": 0.12657173715317507,
  "L5_self_cosine_std": 0.18074707993173666,
  "L5_std_norm_growth": 1.9461415456445325e+17,
  "laws": [
    [
      "L1 norm bound violations (exact check)",
      "0"
    ],
    [
      "L1 explicit-Euler overflow depth",
      "171"
    ],
    [
      "L1 bound tightness (median ratio)",
      "0.0216"
    ],
    [
      "L2 transport logdet error (volume-free)",
      "4.4e-14"
    ],
    [
      "L2 budget error ratio (h/2)",
      "6.40"
    ],
    [
      "L2 budget error ratio (h/4)",
      "8.70"
    ],
    [
      "L3 gradient final/start (median)",
      "0.5506"
    ],
    [
      "L3 gradient max (240 layers)",
      "1.0000"
    ],
    [
      "L4 Cayley modulus-1 (never positive)",
      "-0.0488"
    ],
    [
      "L5 terminal pairwise cosine (PH / std)",
      "0.261 / 0.835"
    ],
    [
      "L5 held-out readout at 120 (PH / std)",
      "0.981 / 0.383"
    ],
    [
      "L5 std norm growth factor",
      "1.9e+17"
    ]
  ]
}