1{
  2  "seed": 17,
  3  "math_checks": {
  4    "asymptotics": {
  5      "low_ratio_R_over_alpha_s4_over_q2": 0.999999506867158,
  6      "high_ratio_R_over_q": 2.9656030864116683e-221
  7    },
  8    "crossovers": [
  9      {
 10        "alpha": 0.2,
 11        "s": 0.7,
 12        "predicted_q": 0.3484704884787494,
 13        "observed_q": 0.3485546214822525,
 14        "relative_error": 0.0002414350892966912
 15      },
 16      {
 17        "alpha": 0.7,
 18        "s": 1.0,
 19        "predicted_q": 0.7947771188416124,
 20        "observed_q": 0.7947270666128641,
 21        "relative_error": 6.297643397342873e-05
 22      },
 23      {
 24        "alpha": 1.5,
 25        "s": 1.4,
 26        "predicted_q": 1.4680092715442639,
 27        "observed_q": 1.4683219796426275,
 28        "relative_error": 0.00021301507042570546
 29      },
 30      {
 31        "alpha": 3.0,
 32        "s": 0.8,
 33        "predicted_q": 0.8650491640920643,
 34        "observed_q": 0.8651956056199063,
 35        "relative_error": 0.00016928694220014147
 36      }
 37    ],
 38    "dimensionless_scaling": [
 39      {
 40        "alpha_times_s": 0.15,
 41        "qstar_over_s": [
 42          0.5084502071199797,
 43          0.5084502071199797,
 44          0.5084502071199797
 45        ],
 46        "spread": 0.0
 47      },
 48      {
 49        "alpha_times_s": 0.5,
 50        "qstar_over_s": [
 51          0.7244532266272277,
 52          0.7244532266272277,
 53          0.7244532266272277
 54        ],
 55        "spread": 0.0
 56      },
 57      {
 58        "alpha_times_s": 1.0,
 59        "qstar_over_s": [
 60          0.8735225772143222,
 61          0.8735225772143222,
 62          0.8735225772143222
 63        ],
 64        "spread": 0.0
 65      },
 66      {
 67        "alpha_times_s": 2.0,
 68        "qstar_over_s": [
 69          1.036693324502961,
 70          1.036693324502961,
 71          1.036693324502961
 72        ],
 73        "spread": 0.0
 74      }
 75    ],
 76    "stability": {
 77      "eta_star": 2.0,
 78      "tests": [
 79        {
 80          "eta": 1.98,
 81          "predicted_stable": true,
 82          "observed_max_multiplier": 0.9999999999999972,
 83          "observed_stable": true
 84        },
 85        {
 86          "eta": 2.02,
 87          "predicted_stable": false,
 88          "observed_max_multiplier": 1.02,
 89          "observed_stable": false
 90        }
 91      ]
 92    },
 93    "relaxation_exponents": [
 94      {
 95        "q_band": [
 96          0.0001,
 97          0.003
 98        ],
 99        "observed_z": 3.0000054413485486
100      },
101      {
102        "q_band": [
103          0.03,
104          0.2
105        ],
106        "observed_z": 3.004504795111643
107      },
108      {
109        "q_band": [
110          5.0,
111          30.0
112        ],
113        "observed_z": 0.0
114      }
115    ]
116  },
117  "mini_experiment": [
118    {
119      "s": 0.3,
120      "adam_loss": 1.2964046491364796e-15,
121      "smooth_rg_loss": 0.17023961200239107,
122      "adam_norm": 1.5023901373832672e-08,
123      "smooth_rg_norm": 4.627495015673544
124    },
125    {
126      "s": 1.0,
127      "adam_loss": 1.2964046491364796e-15,
128      "smooth_rg_loss": 1.3423618614223092,
129      "adam_norm": 1.5023901373832672e-08,
130      "smooth_rg_norm": 8.049915964093856
131    },
132    {
133      "s": 3.0,
134      "adam_loss": 1.2964046491364796e-15,
135      "smooth_rg_loss": 6.212346141679163,
136      "adam_norm": 1.5023901373832672e-08,
137      "smooth_rg_norm": 10.23774720638457
138    }
139  ]
140}