1{
  2  "seed": 2094,
  3  "predictions": {
  4    "threshold_q_equals_1": [
  5      {
  6        "q": 0.8,
  7        "observed_gain": 0.0012379400392853821,
  8        "predicted_gain": 0.0012379400392853823,
  9        "observed_log_rate": -0.2231435513142097,
 10        "predicted_log_rate": -0.2231435513142097
 11      },
 12      {
 13        "q": 0.95,
 14        "observed_gain": 0.21463876394293724,
 15        "predicted_gain": 0.21463876394293727,
 16        "observed_log_rate": -0.051293294387550585,
 17        "predicted_log_rate": -0.05129329438755058
 18      },
 19      {
 20        "q": 1.0,
 21        "observed_gain": 1.0,
 22        "predicted_gain": 1.0,
 23        "observed_log_rate": 0.0,
 24        "predicted_log_rate": 0.0
 25      },
 26      {
 27        "q": 1.05,
 28        "observed_gain": 4.321942375150669,
 29        "predicted_gain": 4.321942375150668,
 30        "observed_log_rate": 0.048790164169432056,
 31        "predicted_log_rate": 0.04879016416943205
 32      },
 33      {
 34        "q": 1.2,
 35        "observed_gain": 237.37631379976955,
 36        "predicted_gain": 237.37631379976955,
 37        "observed_log_rate": 0.1823215567939546,
 38        "predicted_log_rate": 0.1823215567939546
 39      }
 40    ],
 41    "defect_floor": [
 42      {
 43        "delta": 0.001,
 44        "observed_floor": 0.004999999999999999,
 45        "predicted_floor": 0.005000000000000001,
 46        "relative_error": 3.4694469519536137e-16
 47      },
 48      {
 49        "delta": 0.003,
 50        "observed_floor": 0.014999999999999996,
 51        "predicted_floor": 0.015000000000000003,
 52        "relative_error": 4.625929269271485e-16
 53      },
 54      {
 55        "delta": 0.01,
 56        "observed_floor": 0.05000000000000001,
 57        "predicted_floor": 0.05000000000000001,
 58        "relative_error": 0.0
 59      },
 60      {
 61        "delta": 0.03,
 62        "observed_floor": 0.14999999999999997,
 63        "predicted_floor": 0.15000000000000002,
 64        "relative_error": 3.700743415417188e-16
 65      }
 66    ],
 67    "phase_invariant_vs_pointwise": {
 68      "q": 0.85,
 69      "shear": 2.5,
 70      "initial_transverse": 0.15,
 71      "orbital_error_at_80": 3.385363568138043e-07,
 72      "orbital_predicted_at_80": 3.3853635681380424e-07,
 73      "pointwise_error_at_80": 1.747147831935192,
 74      "pointwise_peak": 1.747147831935192,
 75      "orbital_max": 0.15,
 76      "interpretation": "phase shear leaves transverse contraction intact but increases phase-sensitive error"
 77    }
 78  },
 79  "comparison": {
 80    "baseline_unconstrained": {
 81      "q": 1.02,
 82      "cycles": 1000,
 83      "defect_sigma": 0.004,
 84      "median_orbital_error": 40241576.84723182,
 85      "p95_orbital_error": 52864613.14784893,
 86      "median_pointwise_error": 40241577.53474505,
 87      "fraction_orbital_inside_0.05": 0.0,
 88      "qhat_max_over_trials": 1.0200000000003757
 89    },
 90    "contractive_idea": {
 91      "q": 0.8,
 92      "cycles": 1000,
 93      "defect_sigma": 0.004,
 94      "median_orbital_error": 0.004281468992204954,
 95      "p95_orbital_error": 0.012927978968120656,
 96      "median_pointwise_error": 0.7177862139003627,
 97      "fraction_orbital_inside_0.05": 1.0,
 98      "qhat_max_over_trials": 0.8000000000000932
 99    }
100  },
101  "checks": {
102    "threshold_relative_errors": [
103      1.7516230804060184e-16,
104      1.2931296801079168e-16,
105      0.0,
106      2.055044567014067e-16,
107      0.0
108    ],
109    "max_defect_relative_error": 4.625929269271485e-16,
110    "empirical_q_contractive": true,
111    "empirical_q_baseline_noncontractive": true
112  }
113}