{
 "prereg_sha256": "74b3a8a8c89eadfefa67524aac5a0516566bccd8f7c9c10506ff5a62b0a269cd",
 "attempt1": "FAILS - 16.07% vs 5%, tested outside the expansion's small-g assumption",
 "attempt2": "FAILS - no convergence at p >= 0.8825, bracket started at 1e-14",
 "worst_bottom": 1.9984014443252818e-15,
 "worst_top_rel": 1.761631528293615e-14,
 "scored_points": 36,
 "house_bottom": -0.910796718213633,
 "house_top": 0.9972394605468828,
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   "exact_bottom": -0.33633633842861144,
   "err": 1.9984014443252818e-15,
   "iters": 34
  },
  {
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   "true_bottom": -0.5719976659934525,
   "exact_bottom": -0.5719976659934534,
   "err": 8.881784197001252e-16,
   "iters": 19
  },
  {
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   "exact_bottom": -0.6806376404846386,
   "err": 2.220446049250313e-16,
   "iters": 300
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   "exact_bottom": -0.7440891148058113,
   "err": 0.0,
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  },
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   "exact_bottom": -0.7858390184626147,
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  },
  {
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   "exact_bottom": -0.8154319566808571,
   "err": 1.1102230246251565e-16,
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   "from_log": 3.2646532776645374e-08,
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   "from_log": 5.035950349880703e-09,
   "rel_err": 4.7633983850944735e-15,
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   "true_gap": 4.930313912024386e-10,
   "from_log": 4.9303139120243e-10,
   "rel_err": 1.761631528293615e-14,
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   "from_log": 5.026879343232394e-13,
   "rel_err": 1.6069483904240395e-15,
   "tested": false
  },
  {
   "p": 0.8825000000000002,
   "true_gap": 2.2193610188812663e-15,
   "from_log": 2.219361018881227e-15,
   "rel_err": 1.777225288066608e-14,
   "tested": false
  },
  {
   "p": 0.9050000000000001,
   "true_gap": 7.509270214062363e-19,
   "from_log": 7.509270214061957e-19,
   "rel_err": 5.4115940255380446e-14,
   "tested": false
  },
  {
   "p": 0.9275000000000001,
   "true_gap": 1.7814893704863413e-24,
   "from_log": 1.7814893704862293e-24,
   "rel_err": 6.289080764044238e-14,
   "tested": false
  },
  {
   "p": 0.9500000000000001,
   "true_gap": 3.661303167677575e-35,
   "from_log": 3.661303167677444e-35,
   "rel_err": 3.5770179304105855e-14,
   "tested": false
  }
 ],
 "leg1": true,
 "leg2": true,
 "leg3": true,
 "holds": true,
 "summary": "bottom worst 1.998e-15 | top worst 1.762e-14 over 36 scored | house bottom -0.910796718 | heaven +0.997239461 | HOLDS"
}