{
  "inputs": {
    "V": 224000000000000,
    "mission_cycles": 100,
    "theta": "1/100",
    "release": [
      "20",
      "20"
    ],
    "cleavage": [
      "3/100",
      "3/100"
    ],
    "exchange": [
      [
        0.0,
        1.0
      ],
      [
        1.0,
        0.0
      ]
    ],
    "initial": [
      [
        "19/20",
        "19/20",
        "1/20",
        "0",
        "0",
        "0",
        "0"
      ],
      [
        "13/14",
        "13/14",
        "0",
        "0",
        "1/28",
        "0",
        "0"
      ]
    ]
  },
  "exact": {
    "material_identities": true,
    "falling_factorial_correction": [
      "0",
      "0",
      "40*x/V",
      "0",
      "0",
      "-20*x/V",
      "0"
    ],
    "inventory_forward_increments": [
      1,
      0,
      0,
      1,
      0,
      0,
      -1
    ],
    "phase_polynomial_row": [
      "1",
      "961355/1229312",
      "1847785/1843968",
      "665611/307328"
    ],
    "exp_6_over_7_upper": "1901799797/807072140",
    "phase_free_X_floor": "901/160000",
    "noise_margin_polynomial": "83*D/300000 + 101/100000",
    "witness_exp14_lower": "10489529964967/13030875",
    "witness_probability_rational_lower": "2971/3000",
    "net_synthesis_positive_from_cycle": 55,
    "nonclosure_projected_derivative_difference": [
      "3/200",
      "3/200",
      "3/20000",
      "0",
      "0",
      "0"
    ],
    "evidence": "Fresh symbolic/rational identities; probability theorem imported, Lean not rerun"
  },
  "refined_certificate": {
    "lower_probability": 0.9951771334291992,
    "failure_union_upper": 0.004822866570800694,
    "exponent": "14",
    "node_count": 2,
    "degree_bound": "1",
    "cycles": 100,
    "V": 224000000000000,
    "refined": true,
    "required_QI_per_node_cycle": 4000000000000,
    "required_QX_per_node_cycle": 207407407408,
    "max_each_food": 1120000000000000,
    "max_gross_service": 44800000000000,
    "net_synthesis_lower_using_initial": "796800000000000",
    "net_synthesis_lower_worst_ready": "365200000000000",
    "scope": "Theorem applied to ready initial counts and admitted literal history policy; not estimated from trajectories"
  },
  "donor_certificate": {
    "lower_probability": 0.0,
    "failure_union_upper": 4694.534471153552,
    "exponent": "7/50",
    "node_count": 2,
    "degree_bound": "1",
    "cycles": 100,
    "V": 224000000000000,
    "refined": false,
    "required_QI_per_node_cycle": 4000000000000,
    "required_QX_per_node_cycle": 207407407408,
    "max_each_food": 1120000000000000,
    "max_gross_service": 44800000000000,
    "net_synthesis_lower_using_initial": "796800000000000",
    "net_synthesis_lower_worst_ready": "365200000000000",
    "scope": "Theorem applied to ready initial counts and admitted literal history policy; not estimated from trajectories"
  },
  "sufficient_scale": 212332534120362,
  "donor_reduction_endpoint_error": 1.877054067733752e-12,
  "theta_illustrations": [
    {
      "theta": "1/100",
      "max_endpoint_difference_to_donor": 0.00040162391992659696,
      "carried_intermediate": [
        0.0010506989972269994,
        0.0010506970007037853
      ]
    },
    {
      "theta": "1/1000",
      "max_endpoint_difference_to_donor": 5.0762769053802614e-05,
      "carried_intermediate": [
        0.0001437147732965277,
        0.00014371455641085077
      ]
    },
    {
      "theta": "1/10000",
      "max_endpoint_difference_to_donor": 5.194914541317708e-06,
      "carried_intermediate": [
        1.489296490568106e-05,
        1.489294313206639e-05
      ]
    }
  ],
  "numerical_mission": {
    "history": [
      {
        "cycle": 1,
        "endpoint": [
          [
            0.5958778319893002,
            0.6609991892083025,
            0.14931016453521248,
            0.06512135721899881,
            0.02286304212659024,
            0.038850463796318915,
            0.0010506989972269994
          ],
          [
            0.5958783125642063,
            0.6609996131966797,
            0.14930994765718938,
            0.06512130063246992,
            0.022863033756519723,
            0.03885039790273841,
            0.0010506970007037853
          ]
        ],
        "accounts": [
          [
            0.27516413749470475,
            0.1287111290547253,
            0.007415714207498488,
            0.5358545775387713,
            0.8399702012600152,
            0.0026203229370845415,
            0.00156712168417958
          ],
          [
            0.2751619822618776,
            0.12871003146717716,
            0.007400548541380446,
            0.5355351442880796,
            0.8425114858896962,
            0.0026128141735274413,
            0.0015646194285016176
          ]
        ],
        "food": [
          [
            4.75,
            4.75
          ],
          [
            4.75,
            4.75
          ]
        ],
        "ready": true
      },
      {
        "cycle": 2,
        "endpoint": [
          [
            0.54324030031387,
            0.6140243618869453,
            0.17371432086400748,
            0.07078406157307525,
            0.023471826750020065,
            0.04657477086547094,
            0.0012920713088242985
          ],
          [
            0.5432403003183801,
            0.6140243618910195,
            0.17371432086186003,
            0.07078406157263936,
            0.023471826749994568,
            0.04657477086476243,
            0.0012920713088013186
          ]
        ],
        "accounts": [
          [
            0.35335862410306446,
            0.1695889244294642,
            0.014765094771954543,
            1.0339746297346752,
            1.3189551958153394,
            0.004416533341594837,
            0.0033818830632952406
          ],
          [
            0.3533586240733904,
            0.1695889244136997,
            0.01476509390487647,
            1.0339745692155666,
            1.3189551160804496,
            0.004416533159332304,
            0.003381882839499325
          ]
        ],
        "food": [
          [
            4.75,
            4.75
          ],
          [
            4.75,
            4.75
          ]
        ],
        "ready": true
      },
      {
        "cycle": 3,
        "endpoint": [
          [
            0.5419304528215239,
            0.6128407206680594,
            0.17433839160874628,
            0.07091026784653576,
            0.023479035582436844,
            0.046780896217299625,
            0.001298765296987232
          ],
          [
            0.5419304528215239,
            0.6128407206680595,
            0.17433839160874628,
            0.07091026784653576,
            0.023479035582436844,
            0.046780896217299625,
            0.001298765296987232
          ]
        ],
        "accounts": [
          [
            0.35563900785547425,
            0.1708020175763998,
            0.015319220430621361,
            1.0706076264189914,
            1.3454049827432693,
            0.004513491896330226,
            0.0035312840700026872
          ],
          [
            0.35563900785547403,
            0.17080201757639968,
            0.015319220430613314,
            1.0706076264184357,
            1.345404982742594,
            0.004513491896329082,
            0.003531284070000431
          ]
        ],
        "food": [
          [
            4.75,
            4.75
          ],
          [
            4.75,
            4.75
          ]
        ],
        "ready": true
      },
      {
        "cycle": 4,
        "endpoint": [
          [
            0.5419015262354695,
            0.6128145725448468,
            0.17435218286457427,
            0.07091304630937711,
            0.02347919038989272,
            0.046785456462612326,
            0.0012989135877186971
          ],
          [
            0.5419015262354695,
            0.6128145725448468,
            0.1743521828645743,
            0.07091304630937711,
            0.02347919038989272,
            0.04678545646261233,
            0.0012989135877186971
          ]
        ],
        "accounts": [
          [
            0.355689587017075,
            0.1708289358557073,
            0.015332336192224134,
            1.0714725508639635,
            1.3460076750122714,
            0.0045155980657291045,
            0.0035348819757722773
          ],
          [
            0.3556895870170749,
            0.1708289358557073,
            0.015332336192224134,
            1.0714725508639635,
            1.3460076750122714,
            0.0045155980657291045,
            0.0035348819757722773
          ]
        ],
        "food": [
          [
            4.75,
            4.75
          ],
          [
            4.75,
            4.75
          ]
        ],
        "ready": true
      },
      {
        "cycle": 5,
        "endpoint": [
          [
            0.5419008891984873,
            0.6128139966924757,
            0.17435248658767255,
            0.0709131074939884,
            0.02347919379701717,
            0.0467855568948175,
            0.0012989168536837715
          ],
          [
            0.5419008891984873,
            0.6128139966924757,
            0.17435248658767255,
            0.0709131074939884,
            0.02347919379701717,
            0.0467855568948175,
            0.0012989168536837715
          ]
        ],
        "accounts": [
          [
            0.3556907010060657,
            0.17082952872742097,
            0.015332625502954273,
            1.0714916284183904,
            1.3460209566515748,
            0.00451564440341624,
            0.003534961378723551
          ],
          [
            0.3556907010060657,
            0.17082952872742097,
            0.015332625502954273,
            1.0714916284183904,
            1.3460209566515748,
            0.00451564440341624,
            0.003534961378723551
          ]
        ],
        "food": [
          [
            4.75,
            4.75
          ],
          [
            4.75,
            4.75
          ]
        ],
        "ready": true
      },
      {
        "cycle": 6,
        "endpoint": [
          [
            0.5419008751701702,
            0.6128139840115152,
            0.1743524932760213,
            0.0709131088413448,
            0.023479193872045123,
            0.046785559106456945,
            0.001298916925604344
          ],
          [
            0.5419008751701702,
            0.6128139840115152,
            0.1743524932760213,
            0.0709131088413448,
            0.023479193872045123,
            0.046785559106456945,
            0.001298916925604344
          ]
        ],
        "accounts": [
          [
            0.3556907255374894,
            0.1708295417831966,
            0.015332631874150213,
            1.0714920485434045,
            1.3460212491334442,
            0.004515645423805062,
            0.003534963127353242
          ],
          [
            0.3556907255374894,
            0.1708295417831966,
            0.015332631874150213,
            1.0714920485434045,
            1.3460212491334442,
            0.004515645423805062,
            0.003534963127353242
          ]
        ],
        "food": [
          [
            4.75,
            4.75
          ],
          [
            4.75,
            4.75
          ]
        ],
        "ready": true
      },
      {
        "cycle": 7,
        "endpoint": [
          [
            0.5419008748612504,
            0.6128139837322656,
            0.17435249342330655,
            0.0709131088710152,
            0.023479193873697336,
            0.04678555915515985,
            0.0012989169271881195
          ],
          [
            0.5419008748612504,
            0.6128139837322656,
            0.17435249342330655,
            0.0709131088710152,
            0.023479193873697336,
            0.04678555915515985,
            0.0012989169271881195
          ]
        ],
        "accounts": [
          [
            0.35569072607770014,
            0.17082954207070006,
            0.015332632014451503,
            1.071492057795055,
            1.346021255574239,
            0.0045156454462752064,
            0.00353496316586015
          ],
          [
            0.35569072607770014,
            0.17082954207070006,
            0.015332632014451503,
            1.071492057795055,
            1.346021255574239,
            0.0045156454462752064,
            0.00353496316586015
          ]
        ],
        "food": [
          [
            4.75,
            4.75
          ],
          [
            4.75,
            4.75
          ]
        ],
        "ready": true
      },
      {
        "cycle": 8,
        "endpoint": [
          [
            0.5419008748544475,
            0.612813983726116,
            0.17435249342654993,
            0.07091310887166856,
            0.023479193873733706,
            0.04678555915623233,
            0.001298916927222996
          ],
          [
            0.5419008748544475,
            0.612813983726116,
            0.17435249342654993,
            0.07091310887166856,
            0.023479193873733706,
            0.04678555915623233,
            0.001298916927222996
          ]
        ],
        "accounts": [
          [
            0.35569072608959623,
            0.17082954207703122,
            0.015332632017541103,
            1.0714920579987872,
            1.3460212557160731,
            0.004515645446770025,
            0.003534963166708118
          ],
          [
            0.35569072608959623,
            0.17082954207703122,
            0.015332632017541103,
            1.0714920579987872,
            1.3460212557160731,
            0.004515645446770025,
            0.003534963166708118
          ]
        ],
        "food": [
          [
            4.75,
            4.75
          ],
          [
            4.75,
            4.75
          ]
        ],
        "ready": true
      },
      {
        "cycle": 9,
        "endpoint": [
          [
            0.5419008748542977,
            0.6128139837259807,
            0.17435249342662135,
            0.07091310887168295,
            0.023479193873734518,
            0.04678555915625594,
            0.001298916927223764
          ],
          [
            0.5419008748542977,
            0.6128139837259807,
            0.17435249342662135,
            0.07091310887168295,
            0.023479193873734518,
            0.04678555915625594,
            0.001298916927223764
          ]
        ],
        "accounts": [
          [
            0.35569072608985824,
            0.17082954207717058,
            0.015332632017609139,
            1.0714920580032736,
            1.346021255719196,
            0.004515645446780919,
            0.0035349631667267916
          ],
          [
            0.35569072608985824,
            0.17082954207717058,
            0.015332632017609139,
            1.0714920580032736,
            1.346021255719196,
            0.004515645446780919,
            0.0035349631667267916
          ]
        ],
        "food": [
          [
            4.75,
            4.75
          ],
          [
            4.75,
            4.75
          ]
        ],
        "ready": true
      },
      {
        "cycle": 10,
        "endpoint": [
          [
            0.5419008748542945,
            0.6128139837259776,
            0.17435249342662293,
            0.0709131088716833,
            0.02347919387373454,
            0.04678555915625648,
            0.001298916927223781
          ],
          [
            0.5419008748542945,
            0.6128139837259776,
            0.17435249342662293,
            0.0709131088716833,
            0.02347919387373454,
            0.04678555915625648,
            0.001298916927223781
          ]
        ],
        "accounts": [
          [
            0.3556907260898641,
            0.17082954207717368,
            0.015332632017610634,
            1.0714920580033724,
            1.3460212557192655,
            0.004515645446781161,
            0.0035349631667272027
          ],
          [
            0.3556907260898641,
            0.17082954207717368,
            0.015332632017610634,
            1.0714920580033724,
            1.3460212557192655,
            0.004515645446781161,
            0.0035349631667272027
          ]
        ],
        "food": [
          [
            4.75,
            4.75
          ],
          [
            4.75,
            4.75
          ]
        ],
        "ready": true
      }
    ],
    "totals": [
      6.9479892194592825,
      3.3298153938546666,
      0.2896411355600267,
      20.281403092867013,
      25.85547177158349,
      0.08631212676331386,
      0.06644739345122154
    ],
    "inventory_telescope_residual": -1.6697754290362354e-13,
    "storage_telescope_residual": 0.0,
    "material_error": 2.2853940961908847e-12,
    "withdrawn_J": 4.899887385702691,
    "lost_J": 0.03266591590468464
  },
  "units": {
    "concentration_molar": "1/1000",
    "cycle_seconds": 240.0,
    "node_volume_liters": 3.7196075104694164e-07
  }
}