1{
  2  "detailed_balance_max_log_error": 4.440892098500626e-16,
  3  "prediction_stability_boundary": {
  4    "predicted_eta_lambda": 2.0,
  5    "sweep_last_stable": 1.99,
  6    "sweep_first_unstable": 2.01,
  7    "all_stable_below_2": true,
  8    "first_unstable_is_above_2": true
  9  },
 10  "prediction_response_pole": {
 11    "predicted": "C*(2-eta*lambda) approximately constant near edge",
 12    "edge_cv": 0.44133559529038796,
 13    "response_monotone_on_stable_sweep": true,
 14    "edge_rows": [
 15      {
 16        "eta": 1.8,
 17        "eta_lambda": 1.8,
 18        "stable": true,
 19        "C": 368.00425352958916,
 20        "tau": 4.481420117724551
 21      },
 22      {
 23        "eta": 1.9,
 24        "eta_lambda": 1.9,
 25        "stable": true,
 26        "C": 640.3945030365072,
 27        "tau": 9.491221581029894
 28      },
 29      {
 30        "eta": 1.95,
 31        "eta_lambda": 1.95,
 32        "stable": true,
 33        "C": 970.785777040013,
 34        "tau": 19.495725746223673
 35      },
 36      {
 37        "eta": 1.99,
 38        "eta_lambda": 1.99,
 39        "stable": true,
 40        "C": 1511.1844114828386,
 41        "tau": 99.49916247342207
 42      }
 43    ]
 44  },
 45  "prediction_critical_slowing": {
 46    "predicted": "tau increases as eta*lambda approaches 2 from below",
 47    "monotone_on_1.2_to_edge": true,
 48    "taus": [
 49      1.0913566679372917,
 50      1.9576151889712183,
 51      4.481420117724551,
 52      9.491221581029894,
 53      19.495725746223673,
 54      99.49916247342207
 55    ]
 56  },
 57  "prediction_pulse_linearity": {
 58    "deltas_over_T": [
 59      0.01,
 60      0.02,
 61      0.05,
 62      0.1
 63    ],
 64    "C_values": [
 65      158.00000000000372,
 66      158.0000000000016,
 67      158.00000000000196,
 68      158.00000000000176
 69    ],
 70    "max_relative_error_vs_infinitesimal": 3.7304603850429885e-12
 71  },
 72  "monte_carlo_check": {
 73    "exact_C": 158.00000000000196,
 74    "mc_C": 163.32356638288238,
 75    "relative_error": 0.03369345811949588
 76  },
 77  "mini_experiment": {
 78    "baseline_final_loss_mean": 1.972430132509477,
 79    "idea_final_loss_mean": 0.6364833005625685,
 80    "baseline_divergences": 0,
 81    "idea_divergences": 0,
 82    "idea_trigger_count_mean": 9.0
 83  },
 84  "rows": [
 85    {
 86      "eta": 0.2,
 87      "eta_lambda": 0.2,
 88      "stable": true,
 89      "C": 44.04943522876032,
 90      "tau": 4.481420117724551
 91    },
 92    {
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 94      "eta_lambda": 0.4,
 95      "stable": true,
 96      "C": 49.71875000037601,
 97      "tau": 1.9576151889712174
 98    },
 99    {
100      "eta": 0.6000000000000001,
101      "eta_lambda": 0.6000000000000001,
102      "stable": true,
103      "C": 56.97959183673478,
104      "tau": 1.091356667937291
105    },
106    {
107      "eta": 0.8,
108      "eta_lambda": 0.8,
109      "stable": true,
110      "C": 66.61111111111123,
111      "tau": 0.6213349345596118
112    },
113    {
114      "eta": 1.0,
115      "eta_lambda": 1.0,
116      "stable": true,
117      "C": 80.00000000000007,
118      "tau": 0.0
119    },
120    {
121      "eta": 1.2,
122      "eta_lambda": 1.2,
123      "stable": true,
124      "C": 99.87499999999997,
125      "tau": 0.6213349345596118
126    },
127    {
128      "eta": 1.4000000000000001,
129      "eta_lambda": 1.4000000000000001,
130      "stable": true,
131      "C": 132.44444444444477,
132      "tau": 1.0913566679372917
133    },
134    {
135      "eta": 1.6,
136      "eta_lambda": 1.6,
137      "stable": true,
138      "C": 195.5000000060157,
139      "tau": 1.9576151889712183
140    },
141    {
142      "eta": 1.8,
143      "eta_lambda": 1.8,
144      "stable": true,
145      "C": 368.00425352958916,
146      "tau": 4.481420117724551
147    },
148    {
149      "eta": 1.9,
150      "eta_lambda": 1.9,
151      "stable": true,
152      "C": 640.3945030365072,
153      "tau": 9.491221581029894
154    },
155    {
156      "eta": 1.95,
157      "eta_lambda": 1.95,
158      "stable": true,
159      "C": 970.785777040013,
160      "tau": 19.495725746223673
161    },
162    {
163      "eta": 1.99,
164      "eta_lambda": 1.99,
165      "stable": true,
166      "C": 1511.1844114828386,
167      "tau": 99.49916247342207
168    },
169    {
170      "eta": 2.01,
171      "eta_lambda": 2.01,
172      "stable": false,
173      "C": 1973.7978926668518,
174      "tau": -100.49917080713266
175    },
176    {
177      "eta": 2.1,
178      "eta_lambda": 2.1,
179      "stable": false,
180      "C": 9910.739847498628,
181      "tau": -10.492058687257062
182    }
183  ]
184}