{
  "title": "学习机制项目中文总览：已有结果与最终远景",
  "date": "2026-10-08",
  "method": "Export saved scalar results and redraw figures. No training, remote execution, or model/AD replication.",
  "units": {
    "CE": "nats/label",
    "micro_CE": "1e-6 nats/label",
    "fractions": "signed ratios, stored as fractions rather than percent"
  },
  "natural_all_parameter": {
    "model": "Pythia70M official step143000",
    "data": "FineWeb, existing evaluation V128 x224 real next-token labels; full vocabulary50304",
    "training": "Eight full-parameter SGD steps, learning rate2e-7, Cal64 training",
    "baseline_CE": 3.9604224490388193,
    "gain": {
      "mean": 5.492838690559205e-05,
      "SD": 0.00011628979205285627,
      "RMS": 0.00012819825474460187,
      "interval95": [
        3.458876862580545e-05,
        7.526800518537865e-05
      ]
    },
    "parameter_line_orders": {
      "delta": {
        "mean": -5.492838690559205e-05,
        "SD": 0.00011628979205285627,
        "RMS": 0.00012819825474460187,
        "interval95": [
          -7.526800518537865e-05,
          -3.458876862580545e-05
        ]
      },
      "linear": {
        "mean": -5.6164477404601324e-05,
        "SD": 0.00011558118588953384,
        "RMS": 0.0001280979772829555,
        "interval95": [
          -7.638015721465422e-05,
          -3.594879759454843e-05
        ]
      },
      "fisher_second": {
        "mean": 1.2337471084606408e-06,
        "SD": 5.37275476873111e-07,
        "RMS": 1.344820311735256e-06,
        "interval95": [
          1.1397751620173762e-06,
          1.3277190549039054e-06
        ]
      },
      "representation_second": {
        "mean": -5.907175733149219e-08,
        "SD": 5.050879559942209e-06,
        "RMS": 5.031457652756862e-06,
        "interval95": [
          -9.424937706730131e-07,
          8.243502560100287e-07
        ]
      },
      "second": {
        "mean": 1.1746753511291486e-06,
        "SD": 5.204231205874011e-06,
        "RMS": 5.315288392871829e-06,
        "interval95": [
          2.6443143118887707e-07,
          2.08491927106942e-06
        ]
      },
      "higher": {
        "mean": 6.141514788011972e-08,
        "SD": 5.166690136292971e-07,
        "RMS": 5.18298338425572e-07,
        "interval95": [
          -2.8952633579471015e-08,
          1.5178292933971046e-07
        ]
      },
      "I": {
        "mean": -5.6166179717618856e-05,
        "SD": 0.00011631628549852966,
        "RMS": 0.0001287572093796924,
        "interval95": [
          -7.651043182263123e-05,
          -3.5821927612606486e-05
        ]
      },
      "Q": {
        "mean": 1.2377928120260977e-06,
        "SD": 5.447705031372769e-07,
        "RMS": 1.351513001297865e-06,
        "interval95": [
          1.1425099510948201e-06,
          1.3330756729573753e-06
        ]
      },
      "Q2": {
        "mean": 1.240005466261929e-06,
        "SD": 5.478215923622265e-07,
        "RMS": 1.3547610327229232e-06,
        "interval95": [
          1.144188955823867e-06,
          1.3358219766999909e-06
        ]
      },
      "Q3": {
        "mean": -2.240554760072691e-09,
        "SD": 5.277869889959594e-09,
        "RMS": 5.714750380100309e-09,
        "interval95": [
          -3.1636784237848476e-09,
          -1.3174310963605348e-09
        ]
      },
      "Q_above_third": {
        "mean": 2.7900524241580864e-11,
        "SD": 7.565799717401705e-11,
        "RMS": 8.036076159356702e-11,
        "interval95": [
          1.4667593343972608e-11,
          4.113345513918912e-11
        ]
      },
      "output_L1": {
        "mean": 0.0007337375230321687,
        "SD": 0.0001155026581418576,
        "RMS": 0.0007427027610308997,
        "interval95": [
          0.0007135355780855454,
          0.000753939467978792
        ]
      }
    },
    "source_integral": {
      "partial_weights": {
        "first": {
          "mean": 2.6426030551277065e-05,
          "SD": 2.54005580723049e-05,
          "RMS": 3.658528265702184e-05,
          "interval95": [
            2.1983356382168476e-05,
            3.0868704720385654e-05
          ]
        },
        "work": {
          "mean": 2.6354730507983733e-05,
          "SD": 2.5392063094626698e-05,
          "RMS": 3.65279553946991e-05,
          "interval95": [
            2.191354214945421e-05,
            3.079591886651325e-05
          ]
        },
        "signed_gain_share": 0.47980164706603934
      },
      "shape": {
        "first": {
          "mean": 2.9695983699890316e-05,
          "SD": 0.00011393645226300068,
          "RMS": 0.00011731133157133788,
          "interval95": [
            9.7679753487425e-06,
            4.962399205103813e-05
          ]
        },
        "work": {
          "mean": 2.8536005595731305e-05,
          "SD": 0.00011466639833880061,
          "RMS": 0.00011772835164854475,
          "interval95": [
            8.480326326229358e-06,
            4.859168486523325e-05
          ]
        },
        "signed_gain_share": 0.5195129004020718
      },
      "warm": {
        "first": {
          "mean": 2.5329446363298095e-07,
          "SD": 6.930917792448193e-07,
          "RMS": 7.35378379195653e-07,
          "interval95": [
            1.3206953086940481e-07,
            3.745193963965571e-07
          ]
        },
        "work": {
          "mean": 2.4679737029241097e-07,
          "SD": 6.9359356176437e-07,
          "RMS": 7.336365555765943e-07,
          "interval95": [
            1.254846734635032e-07,
            3.6811006712131874e-07
          ]
        },
        "signed_gain_share": 0.0044930751510433575
      },
      "sharpen": {
        "first": {
          "mean": -2.108313102598284e-07,
          "SD": 8.122876601457692e-07,
          "RMS": 8.361257733597223e-07,
          "interval95": [
            -3.5290414957866163e-07,
            -6.875847094099516e-08
          ]
        },
        "work": {
          "mean": -2.0914804140839395e-07,
          "SD": 8.178511054492386e-07,
          "RMS": 8.410693821230124e-07,
          "interval95": [
            -3.5219395284125763e-07,
            -6.610212997553024e-08
          ]
        },
        "signed_gain_share": -0.003807649435761992
      },
      "P_sharp": {
        "first": {
          "mean": 3.908764050924705e-06,
          "SD": 1.4972113690890537e-06,
          "RMS": 4.1836067528287345e-06,
          "interval95": [
            3.6468949118210193e-06,
            4.17063319002839e-06
          ]
        },
        "work": {
          "mean": 3.9376783540279415e-06,
          "SD": 1.5106439473223376e-06,
          "RMS": 4.215391734790502e-06,
          "interval95": [
            3.6734597953496285e-06,
            4.2018969127062546e-06
          ]
        },
        "signed_gain_share": 0.07168749304063508
      }
    },
    "small_temperature": [
      {
        "group": "all_layers",
        "multiplier": 0.995,
        "terms": {
          "delta": {
            "mean": -7.220707429264024e-05,
            "SD": 0.0008045824289771272,
            "RMS": 0.0008046796270457132,
            "interval95": [
              -0.0002129322333210447,
              6.851808473576423e-05
            ]
          },
          "linear": {
            "mean": -0.00010580367628569309,
            "SD": 0.000798804348618842,
            "RMS": 0.0008026815930128169,
            "interval95": [
              -0.0002455182225440271,
              3.391086997264093e-05
            ]
          },
          "fisher_second": {
            "mean": 3.3926663251726e-05,
            "SD": 7.761032778952034e-06,
            "RMS": 3.4796286209295417e-05,
            "interval95": [
              3.256922300358241e-05,
              3.5284103499869594e-05
            ]
          },
          "representation_second": {
            "mean": -7.048485593916058e-07,
            "SD": 1.3442448312072545e-05,
            "RMS": 1.3408374768108671e-05,
            "interval95": [
              -3.0559944560928795e-06,
              1.6462973373096678e-06
            ]
          },
          "second": {
            "mean": 3.32218146923344e-05,
            "SD": 1.4420002464795918e-05,
            "RMS": 3.619393511150972e-05,
            "interval95": [
              3.069969008836038e-05,
              3.574393929630842e-05
            ]
          },
          "higher": {
            "mean": 3.747873007184515e-07,
            "SD": 1.6518938978697453e-06,
            "RMS": 1.6875723937871256e-06,
            "interval95": [
              8.586347749837048e-08,
              6.637111239385325e-07
            ]
          },
          "I": {
            "mean": -0.00010643698817561765,
            "SD": 0.0008052028382633772,
            "RMS": 0.0008090829353288394,
            "interval95": [
              -0.0002472706596352235,
              3.4396683283988215e-05
            ]
          },
          "Q": {
            "mean": 3.42299138831439e-05,
            "SD": 7.785753410876025e-06,
            "RMS": 3.5097455503779734e-05,
            "interval95": [
              3.286814988303469e-05,
              3.55916778832531e-05
            ]
          },
          "Q2": {
            "mean": 3.4193603761056e-05,
            "SD": 7.777634154280713e-06,
            "RMS": 3.506025585524625e-05,
            "interval95": [
              3.2833259856184295e-05,
              3.55539476659277e-05
            ]
          },
          "Q3": {
            "mean": 3.610219886157259e-08,
            "SD": 4.305683195895874e-08,
            "RMS": 5.606046752638393e-08,
            "interval95": [
              2.8571361365671956e-08,
              4.3633036357473225e-08
            ]
          },
          "Q_above_third": {
            "mean": 2.079232263314392e-10,
            "SD": 1.193466876755295e-09,
            "RMS": 1.2068419186331637e-09,
            "interval95": [
              -8.196071903411247e-13,
              4.1666605985321953e-10
            ]
          },
          "output_L1": {
            "mean": 0.005593523839787104,
            "SD": 0.0006089891410457469,
            "RMS": 0.005626320228683631,
            "interval95": [
              0.005487008844388577,
              0.005700038835185631
            ]
          }
        },
        "signed_order_shares": {
          "linear": 1.465281308267564,
          "fisher_second": -0.4698523459658301,
          "representation_second": 0.00976148897177306,
          "higher": -0.0051904512735070326
        },
        "noncancelled_order_scale": 0.0001394002782787459,
        "quadratic_residual_over_response": 0.0051904512735070326,
        "relative_residual_to_noncancelled_scale": 0.0026885692435206178
      },
      {
        "group": "all_layers",
        "multiplier": 0.9975,
        "terms": {
          "delta": {
            "mean": -4.455052581672275e-05,
            "SD": 0.0004008668433467717,
            "RMS": 0.00040177549925796374,
            "interval95": [
              -0.0001146639762818368,
              2.5562924648391298e-05
            ]
          },
          "linear": {
            "mean": -5.290183814284537e-05,
            "SD": 0.00039940217430941216,
            "RMS": 0.00040134079650639955,
            "interval95": [
              -0.00012275911127201085,
              1.6955434986320106e-05
            ]
          },
          "fisher_second": {
            "mean": 8.481665812931123e-06,
            "SD": 1.9402581947379224e-06,
            "RMS": 8.699071552323468e-06,
            "interval95": [
              8.14230575089524e-06,
              8.821025874967005e-06
            ]
          },
          "representation_second": {
            "mean": -1.7621213984789358e-07,
            "SD": 3.360612078017987e-06,
            "RMS": 3.3520936920270187e-06,
            "interval95": [
              -7.639986140231859e-07,
              4.115743343273987e-07
            ]
          },
          "second": {
            "mean": 8.30545367308323e-06,
            "SD": 3.605000616198819e-06,
            "RMS": 9.048483777877029e-06,
            "interval95": [
              7.674922522089753e-06,
              8.935984824076708e-06
            ]
          },
          "higher": {
            "mean": 4.585865303938497e-08,
            "SD": 2.1925497004281782e-07,
            "RMS": 2.2315956096716963e-07,
            "interval95": [
              7.50995262559463e-09,
              8.420735345317532e-08
            ]
          },
          "I": {
            "mean": -5.306995434938581e-05,
            "SD": 0.0004010249465910563,
            "RMS": 0.00040296527607184575,
            "interval95": [
              -0.00012321105779745543,
              1.7071149098683818e-05
            ]
          },
          "Q": {
            "mean": 8.519428532748264e-06,
            "SD": 1.9432748936808506e-06,
            "RMS": 8.736559812535616e-06,
            "interval95": [
              8.179540836223738e-06,
              8.85931622927279e-06
            ]
          },
          "Q2": {
            "mean": 8.514927187302528e-06,
            "SD": 1.9422572935261413e-06,
            "RMS": 8.7319457631333e-06,
            "interval95": [
              8.175217473714793e-06,
              8.854636900890263e-06
            ]
          },
          "Q3": {
            "mean": 4.488322477645845e-09,
            "SD": 5.357304741900508e-09,
            "RMS": 6.972913912565047e-09,
            "interval95": [
              3.551305293805497e-09,
              5.4253396614861924e-09
            ]
          },
          "Q_above_third": {
            "mean": 1.3022968089909653e-11,
            "SD": 7.395024365297363e-11,
            "RMS": 7.480315832663658e-11,
            "interval95": [
              8.873111995238882e-14,
              2.5957205059866918e-11
            ]
          },
          "output_L1": {
            "mean": 0.0027897328907227283,
            "SD": 0.00030411687590526477,
            "RMS": 0.002806131522313824,
            "interval95": [
              0.002736541453545312,
              0.0028429243279001447
            ]
          }
        },
        "signed_order_shares": {
          "linear": 1.1874570989460203,
          "fisher_second": -0.1903830686044876,
          "representation_second": 0.003955332436991115,
          "higher": -0.0010293627785235074
        },
        "noncancelled_order_scale": 6.125315046896798e-05,
        "quadratic_residual_over_response": 0.0010293627785235074,
        "relative_residual_to_noncancelled_scale": 0.0007486741937072747
      },
      {
        "group": "all_layers",
        "multiplier": 1.0025,
        "terms": {
          "delta": {
            "mean": 6.116306888559426e-05,
            "SD": 0.0003978984946369491,
            "RMS": 0.0004010327080623672,
            "interval95": [
              -8.431203768524597e-06,
              0.00013075734153971313
            ]
          },
          "linear": {
            "mean": 5.290183814284537e-05,
            "SD": 0.00039940217430941216,
            "RMS": 0.00040134079650639955,
            "interval95": [
              -1.6955434986320106e-05,
              0.00012275911127201085
            ]
          },
          "fisher_second": {
            "mean": 8.481665812931123e-06,
            "SD": 1.9402581947379224e-06,
            "RMS": 8.699071552323468e-06,
            "interval95": [
              8.14230575089524e-06,
              8.821025874967005e-06
            ]
          },
          "representation_second": {
            "mean": -1.7621213984789358e-07,
            "SD": 3.360612078017987e-06,
            "RMS": 3.3520936920270187e-06,
            "interval95": [
              -7.639986140231859e-07,
              4.115743343273987e-07
            ]
          },
          "second": {
            "mean": 8.30545367308323e-06,
            "SD": 3.605000616198819e-06,
            "RMS": 9.048483777877029e-06,
            "interval95": [
              7.674922522089753e-06,
              8.935984824076708e-06
            ]
          },
          "higher": {
            "mean": -4.422293033434459e-08,
            "SD": 2.313522153317529e-07,
            "RMS": 2.3465157158512346e-07,
            "interval95": [
              -8.468749446300037e-08,
              -3.758366205688806e-09
            ]
          },
          "I": {
            "mean": 5.271883719866797e-05,
            "SD": 0.00039773226175140157,
            "RMS": 0.0003996678133408657,
            "interval95": [
              -1.6846360560931786e-05,
              0.00012228403495826774
            ]
          },
          "Q": {
            "mean": 8.44423168684543e-06,
            "SD": 1.9375052543776406e-06,
            "RMS": 8.661965587568387e-06,
            "interval95": [
              8.105353126711706e-06,
              8.783110246979154e-06
            ]
          },
          "Q2": {
            "mean": 8.448664111705473e-06,
            "SD": 1.938529122715766e-06,
            "RMS": 8.666513824837684e-06,
            "interval95": [
              8.109606472300915e-06,
              8.78772175111003e-06
            ]
          },
          "Q3": {
            "mean": -4.44531977166432e-09,
            "SD": 5.3238998140547264e-09,
            "RMS": 6.919778920715717e-09,
            "interval95": [
              -5.3764942803304086e-09,
              -3.5141452629982314e-09
            ]
          },
          "Q_above_third": {
            "mean": 1.2894911620766386e-11,
            "SD": 7.307778865581473e-11,
            "RMS": 7.392509961489221e-11,
            "interval95": [
              1.13271033477332e-13,
              2.567655220805544e-11
            ]
          },
          "output_L1": {
            "mean": 0.0027757606546368408,
            "SD": 0.00030335387131394127,
            "RMS": 0.002792158994205161,
            "interval95": [
              0.002722702670463848,
              0.0028288186388098335
            ]
          }
        },
        "signed_order_shares": {
          "linear": 0.8649310622689396,
          "fisher_second": 0.13867299282833745,
          "representation_second": -0.002881021882297944,
          "higher": -0.0007230332149791853
        },
        "noncancelled_order_scale": 6.125151474626295e-05,
        "quadratic_residual_over_response": 0.0007230332149791853,
        "relative_residual_to_noncancelled_scale": 0.0007219891706766763
      },
      {
        "group": "all_layers",
        "multiplier": 1.005,
        "terms": {
          "delta": {
            "mean": 0.00013866526224300645,
            "SD": 0.0007927059358984267,
            "RMS": 0.0008016866694110954,
            "interval95": [
              1.7356354873313733e-08,
              0.0002773131681311396
            ]
          },
          "linear": {
            "mean": 0.00010580367628569074,
            "SD": 0.0007988043486188243,
            "RMS": 0.0008026815930127991,
            "interval95": [
              -3.391086997264021e-05,
              0.0002455182225440217
            ]
          },
          "fisher_second": {
            "mean": 3.392666325172449e-05,
            "SD": 7.76103277895169e-06,
            "RMS": 3.479628620929387e-05,
            "interval95": [
              3.256922300358096e-05,
              3.528410349986802e-05
            ]
          },
          "representation_second": {
            "mean": -7.048485593915743e-07,
            "SD": 1.3442448312071949e-05,
            "RMS": 1.3408374768108075e-05,
            "interval95": [
              -3.0559944560927436e-06,
              1.6462973373095948e-06
            ]
          },
          "second": {
            "mean": 3.322181469233292e-05,
            "SD": 1.4420002464795275e-05,
            "RMS": 3.6193935111508115e-05,
            "interval95": [
              3.0699690088359014e-05,
              3.574393929630683e-05
            ]
          },
          "higher": {
            "mean": -3.602287350172076e-07,
            "SD": 1.7695174040410843e-06,
            "RMS": 1.7990258887690756e-06,
            "interval95": [
              -6.697254492367648e-07,
              -5.073202079765045e-08
            ]
          },
          "I": {
            "mean": 0.0001050363777519512,
            "SD": 0.0007920215617298925,
            "RMS": 0.00079588317488578,
            "interval95": [
              -3.349182795353648e-05,
              0.00024356458345743887
            ]
          },
          "Q": {
            "mean": 3.3628884490891265e-05,
            "SD": 7.7405106492193e-06,
            "RMS": 3.450143891678588e-05,
            "interval95": [
              3.2275033657413254e-05,
              3.498273532436928e-05
            ]
          },
          "Q2": {
            "mean": 3.366409989549828e-05,
            "SD": 7.748743941387051e-06,
            "RMS": 3.453759644576533e-05,
            "interval95": [
              3.2308809021437844e-05,
              3.501939076955872e-05
            ]
          },
          "Q3": {
            "mean": -3.541961708687318e-08,
            "SD": 4.251298766654326e-08,
            "RMS": 5.5206733654974146e-08,
            "interval95": [
              -4.2855333720348125e-08,
              -2.7983900453398233e-08
            ]
          },
          "Q_above_third": {
            "mean": 2.0421247985540484e-10,
            "SD": 1.1676702285923005e-09,
            "RMS": 1.1808914078559792e-09,
            "interval95": [
              -1.840152276185371e-14,
              4.084433612335715e-10
            ]
          },
          "output_L1": {
            "mean": 0.005537656293058952,
            "SD": 0.000605999683785197,
            "RMS": 0.005570458132734446,
            "interval95": [
              0.00543166416745381,
              0.005643648418664095
            ]
          }
        },
        "signed_order_shares": {
          "linear": 0.7630150087645828,
          "fisher_second": 0.24466591490137665,
          "representation_second": -0.005083093977468919,
          "higher": -0.0025978296884905335
        },
        "noncancelled_order_scale": 0.00013938571971304088,
        "quadratic_residual_over_response": 0.0025978296884905335,
        "relative_residual_to_noncancelled_scale": 0.002584402015922616
      }
    ],
    "original_all_gates_passed": false,
    "source_scope": "Declared endpoint parameter line.17/128 refined per-source controls;111 original total closure controls. Signed path-dependent attribution.",
    "small_temperature_scope": "Post-observation smaller grid; not new-data blind confirmation. Small-grid endpoints not independently replayed.",
    "fixed_near_band": {
      "threshold": 0.25,
      "cohort": {
        "regular_rows": 1566720,
        "all_query_head_rows": 1572864,
        "single_key_rows": 6144,
        "cold_rows": 1231188,
        "near_rows": 767962,
        "cold_near_rows": 622936,
        "near_fraction_of_regular": 0.4901718239379085,
        "cold_near_fraction_of_regular": 0.39760518790849675
      },
      "Shapley_near": {
        "mean": 2.8206895112583112e-05,
        "sample_SD": 0.00011278756885387964,
        "RMS": 0.00011583298981097159,
        "signed_gain_share": 0.5135211940323214
      },
      "near_source_shape": {
        "mean": 2.821186688867605e-05,
        "sample_SD": 0.0001127180095548261,
        "RMS": 0.0001157670012006308,
        "signed_gain_share": 0.5136117078015795
      },
      "near_source_radial": {
        "mean": -4.999195196469666e-09,
        "sample_SD": 9.04529749617355e-07,
        "RMS": 9.010033712421079e-07,
        "signed_gain_share": -9.101294829669226e-05
      },
      "original_complete_qualified": false,
      "scope": "Finite near-row response; no B stock or long-term dominance."
    }
  },
  "natural_restricted_family": {
    "model": "Pythia70M official step32000",
    "data": "Fixed FineWeb training Cal128 x224 real labels, full vocabulary50304",
    "family": "Last-layer eight-head K weight+bias official ray; all centered readout coordinates in official5% Frobenius ball; b in[.5,2]; other parameters fixed.",
    "floor": [
      2.129327063311184,
      2.129590128457905
    ],
    "uncompensated_final_stock": {
      "B": [
        0.008725727482454815,
        0.009045749150803584
      ],
      "O": [
        1.879799876600282,
        1.8798568531219093
      ],
      "B_share": [
        0.0046202520197250255,
        0.0047890357091552194
      ]
    },
    "native_short_window": {
      "gain": 5.172145437137843e-05,
      "b_movement": 2.0575146031376335e-08,
      "temperature_source": {
        "mean": 1.9531207824548076e-10,
        "sd": 2.4058871231610244e-10,
        "rms": 3.091561515215739e-10
      },
      "temperature_source_below_budget": true
    },
    "explicit_clock_short_window": {
      "native_metric": 147534.32212667394,
      "temperature_mobility": 4.0,
      "gain": 0.0001602871377146542,
      "b_movement": 0.011675073900093258,
      "source": {
        "temperature": {
          "mean": 0.00010644042278959206,
          "sd": 0.00013558991971230637,
          "rms": 0.0001719609259047895
        },
        "readout": {
          "mean": 5.3846714925437595e-05,
          "sd": 0.0003285474961552353,
          "rms": 0.0003316619026637327
        },
        "covariance": [
          [
            1.8384626327589683e-08,
            -7.456978899941363e-09
          ],
          [
            -7.456978899941363e-09,
            1.0794345722987437e-07
          ]
        ],
        "closure": {
          "mean": 1.5169227178757566e-16,
          "sd": 1.463355578776163e-15,
          "rms": 1.4655000283679715e-15
        },
        "max_abs_closure": 4.094177796266918e-15,
        "refinement_max_abs": 9.370217275705972e-17,
        "temperature_fraction": 0.6640609116065137,
        "readout_fraction": 0.33593908839582876,
        "qualified": true
      },
      "profile": {
        "qualified": true,
        "corrected_gap": 9.944892842561615e-07,
        "endpoint": {
          "U": [
            2.134304151510884,
            2.134305166000168
          ],
          "B": [
            0.004714023052978966,
            0.004978102688984354
          ],
          "O": [
            0.0007039777265851477,
            0.0007050122158691607
          ],
          "R": [
            0.0054190152688482485,
            0.00568210041556938
          ],
          "B_fraction": [
            0.8296268471535967,
            0.9186360329341523
          ]
        },
        "approximate_doc_profile_gain": {
          "mean": 0.00017630403196510804,
          "sd": 0.00011952293465451,
          "rms": 0.0002127374821582824
        },
        "approximate_doc_lag_gain": {
          "mean": -1.6016894250230063e-05,
          "sd": 0.0003204497755134031,
          "rms": 0.00031959716686790775
        },
        "covariance": [
          [
            1.428573190842627e-08,
            -2.779832388731442e-09
          ],
          [
            -2.779832388731442e-09,
            1.0268805862659042e-07
          ]
        ],
        "variance_closure": 5.293955920339377e-23,
        "shared_global_profile_not_per_doc_inf": true,
        "deltaB": [
          0.00017535932051915282,
          0.0001773185213167494
        ],
        "deltaO": [
          -1.7051383602095208e-05,
          -1.5052182804498634e-05
        ],
        "source_bridge": [
          -7.088809852715734e-05,
          -6.890889772956076e-05
        ],
        "deltaB_fraction": [
          1.0938958989542402,
          1.1063935117656756
        ],
        "deltaO_fraction": [
          -0.10639351176567556,
          -0.09389589895424018
        ],
        "source_bridge_fraction": [
          -0.44231212672787135,
          -0.4298554556704656
        ]
      },
      "forecasts": {
        "J": {
          "gain_qualified": true,
          "temperature_motion_qualified": true,
          "max_relative_gain_error": 0.02477362500274664,
          "gain_pass": true,
          "max_relative_b_error": 0.01875477175922756,
          "b_pass": true,
          "max_abs_CE_error": 3.970893442506451e-06,
          "clipping_free": true,
          "predicted_endpoint": {
            "calendar": 32,
            "b": 1.1992346063970625,
            "CE": 2.1350051828333108,
            "gradient_b": -0.00921336597228126,
            "gradient_W_norm": 0.10045127607949747,
            "gain": 0.00016425803115716064,
            "displacement": 14.221602485733584
          }
        },
        "Q": {
          "gain_qualified": true,
          "temperature_motion_qualified": true,
          "max_relative_gain_error": 0.00034570615944563924,
          "gain_pass": true,
          "max_relative_b_error": 0.0002588545234636844,
          "b_pass": true,
          "max_abs_CE_error": 5.541225078786738e-08,
          "clipping_free": true,
          "predicted_endpoint": {
            "calendar": 32,
            "b": 1.1990126209051033,
            "CE": 2.135009209139004,
            "gradient_b": -0.00886216958582433,
            "gradient_W_norm": 0.1004721873913487,
            "gain": 0.00016023172546386633,
            "displacement": 14.221602485733582
          }
        }
      },
      "scope": "Explicit relative mobility intervention, not native pretraining clock. Original raw-score derivative audit failed; registered equivalent-gauge precision control passed."
    },
    "profile_pair_derivative": {
      "b": 1.1873405691507009,
      "derivative_intervals": {
        "total": [
          -0.015414458845368533,
          -0.015306522791625145
        ],
        "near": [
          -0.007838227079003788,
          -0.007780865545780716
        ],
        "cold_near": [
          -0.007148678396470118,
          -0.007094354466283522
        ],
        "top2_near": [
          -0.0002646807787852051,
          -0.000252787907426834
        ],
        "top2_cold_near": [
          -0.00026978859404272644,
          -0.00025790100050240036
        ],
        "rest_near": [
          -0.007576696731208807,
          -0.007524927207363656
        ],
        "rest_cold_near": [
          -0.006881962599233395,
          -0.0068333806689751175
        ]
      },
      "absolute_signed_fraction_intervals": {
        "near_over_total": [
          0.5047770812997807,
          0.5120841085666052
        ],
        "top2_over_near": [
          0.03225064863251736,
          0.03401688118473297
        ],
        "top2_over_total": [
          0.01639940201357035,
          0.017292025261937564
        ],
        "rest_over_near": [
          0.9600292427761673,
          0.9737601410317875
        ]
      },
      "positive_stock_identified": false,
      "long_term_dominance_identified": false,
      "scope": "Conditional FP64 support/gradient/geometry model; all exact profile minimizers in the same centered 5% ball. No positive stock, future or continuous-flow qualification."
    },
    "qualified_natural_long_term_dominance": false,
    "continuous_native_flow_future": "Finite backward-Euler future completed. Full-path continuous-flow qualification remains false."
  },
  "future_prediction_windows": {
    "temperature_first": {
      "J": {
        "qualified": true,
        "b_absolute_error_max": 0.018994460540629587,
        "gain_absolute_error_max": 0.0007848567680646817,
        "b_relative_error": 0.16073364092133938,
        "gain_relative_error": 0.32835292303651226,
        "pass_gate": false
      },
      "L": {
        "qualified": true,
        "b_absolute_error_max": 0.02244960767255999,
        "gain_absolute_error_max": 0.0009421445033657855,
        "b_relative_error": 0.18997155358783352,
        "gain_relative_error": 0.39415586918585904,
        "pass_gate": false
      }
    },
    "temperature_next": {
      "J": {
        "qualified": true,
        "b_absolute_error_max": 0.007208900750961478,
        "gain_absolute_error_max": 0.00017264488256460604,
        "b_relative_error": 0.10422449859701886,
        "gain_relative_error": 0.21310534352973373,
        "pass_gate": false
      },
      "Q": {
        "qualified": true,
        "b_absolute_error_max": 0.0006108398581075036,
        "gain_absolute_error_max": 1.3201639226826864e-05,
        "b_relative_error": 0.00883137112490244,
        "gain_relative_error": 0.016295529996585664,
        "pass_gate": true
      },
      "L": {
        "qualified": true,
        "b_absolute_error_max": 0.01058245219935805,
        "gain_absolute_error_max": 0.00026137156414782377,
        "b_relative_error": 0.1529984684915946,
        "gain_relative_error": 0.32262570508443683,
        "pass_gate": false
      }
    },
    "joint_short": {
      "J": {
        "gain_qualified": true,
        "temperature_motion_qualified": true,
        "max_relative_gain_error": 0.02477362500274664,
        "gain_pass": true,
        "max_relative_b_error": 0.01875477175922756,
        "b_pass": true,
        "max_abs_CE_error": 3.970893442506451e-06,
        "clipping_free": true,
        "predicted_endpoint": {
          "calendar": 32,
          "b": 1.1992346063970625,
          "CE": 2.1350051828333108,
          "gradient_b": -0.00921336597228126,
          "gradient_W_norm": 0.10045127607949747,
          "gain": 0.00016425803115716064,
          "displacement": 14.221602485733584
        }
      },
      "Q": {
        "gain_qualified": true,
        "temperature_motion_qualified": true,
        "max_relative_gain_error": 0.00034570615944563924,
        "gain_pass": true,
        "max_relative_b_error": 0.0002588545234636844,
        "b_pass": true,
        "max_abs_CE_error": 5.541225078786738e-08,
        "clipping_free": true,
        "predicted_endpoint": {
          "calendar": 32,
          "b": 1.1990126209051033,
          "CE": 2.135009209139004,
          "gradient_b": -0.00886216958582433,
          "gradient_W_norm": 0.1004721873913487,
          "gain": 0.00016023172546386633,
          "displacement": 14.221602485733582
        }
      }
    },
    "gate_relative_error": 0.05,
    "scope": "Separate preregistered windows and initial anchors; no concatenation into one forecast."
  },
  "controlled_CE": {
    "population": "Uniform x in [-1,1]; q(y=1|x)=sigmoid(2 sign(x)); same fixed population throughout.",
    "teacher_entropy": 0.36533385508720806,
    "boundary_coefficient": 0.11335267625502413,
    "metric": 2.0,
    "rows": [
      {
        "time": 0.0,
        "beta": 16.0,
        "B": 0.006943926739106321,
        "O": 0.00014061552683264367,
        "key_rate_share": 0.00697781396268297
      },
      {
        "time": 0.05,
        "beta": 16.000011069045122,
        "B": 0.006943922038120998,
        "O": 0.00013991954692299524,
        "key_rate_share": 0.00701134858674442
      },
      {
        "time": 1.0,
        "beta": 16.000221174360092,
        "B": 0.006943832808322448,
        "O": 0.00012733908031697938,
        "key_rate_share": 0.007679738184931944
      },
      {
        "time": 10.0,
        "beta": 16.00219493254196,
        "B": 0.006942994683089454,
        "O": 5.241031972580412e-05,
        "key_rate_share": 0.01811429099244227
      },
      {
        "time": 59087.37976125007,
        "beta": 24.000055397978844,
        "B": 0.00466170966053947,
        "O": 4.2654768606098514e-13,
        "key_rate_share": 0.9999976902809709
      },
      {
        "time": 173050.00348380458,
        "beta": 32.00002372006567,
        "B": 0.0035081081976916506,
        "O": 4.085620730620576e-14,
        "key_rate_share": 0.9999992997190267
      },
      {
        "time": 1539034.589943702,
        "beta": 64.00000323700641,
        "B": 0.0017627147470955506,
        "O": 1.1102230246251565e-16,
        "key_rate_share": 0.9999999589025373
      },
      {
        "time": 12397749.54066877,
        "beta": 128.00000053186338,
        "B": 0.0008834772272880986,
        "O": -5.551115123125783e-17,
        "key_rate_share": 0.9999999975153968
      },
      {
        "time": 98999211.3254202,
        "beta": 256.00000008639773,
        "B": 0.0004422630644684844,
        "O": 1.6653345369377348e-16,
        "key_rate_share": 0.9999999998467909
      }
    ],
    "max_relative_future_KL_error": 2.2766401972518224e-06,
    "scope": "Controlled binary CE; normalized two-candidate gap constant2, does not reproduce the zero-normalized-gap premise or natural text."
  },
  "conditional_task_classes": {
    "codimension": 1,
    "metric_power": 0,
    "p": [
      1,
      3,
      5
    ],
    "alpha": [
      0.3333333333333333,
      0.6,
      0.7142857142857143
    ],
    "scope": "Conditional final-task boundary classes; not all-task quantization."
  },
  "crossover": {
    "lambda_divisor": 4,
    "predicted_time_ratio": 128,
    "observed_time_ratio": [
      127.7694,
      127.9817
    ],
    "scope": "Controlled family with scaled initial state; not constant raw beta initialization."
  },
  "natural_all_parameter_transverse": {
    "model": "Pythia70M official step32000; all76 parameter tensors",
    "data": "FineWeb Cal128/V128 x224 real labels, full vocabulary50304; previously used pools",
    "intervention": "27 independently anchored one-step weighted Euclidean SGD endpoints; eta2e-4/1e-4/5e-5, epsilon+/-.25/+.5/-.5",
    "predictors": {
      "E": "Independent reference exposure rescaling, only defined on Cal",
      "J": "Fixed full logit Jacobian with exact CE",
      "H": "Full parameter second order including representation curvature"
    },
    "qualification": {
      "family_count": 255,
      "independent_records": 6912,
      "state_formula_records": 2052,
      "new_budget_passed": true,
      "old_strict_passed": false,
      "original_R70_passed": false,
      "old_strict_failures": 238,
      "max_independent_token_error": 5.0840308525590405e-12,
      "maxT": {
        "q95": 4.1177906365503745,
        "draws": 10000,
        "seed": 711234
      },
      "numerical_scope": "Declared conditional FP64 budgets, no rigorous roundoff bound"
    },
    "comparison_counts": {
      "C/E/delta": {
        "finite_scalar_status": {
          "pass": 27
        },
        "finite_token_status": {
          "pass": 3,
          "reject": 24
        },
        "conditional_scalar_status": {
          "pass": 27
        },
        "conditional_token_status": {
          "pass": 3,
          "reject": 24
        }
      },
      "C/E/odd": {
        "finite_scalar_status": {
          "pass": 6,
          "reject": 4,
          "unresolved-numerical": 2
        },
        "finite_token_status": {
          "reject": 12
        },
        "conditional_scalar_status": {
          "unidentified": 10,
          "unresolved-numerical": 2
        },
        "conditional_token_status": {
          "reject": 12
        }
      },
      "C/E/even": {
        "finite_scalar_status": {
          "reject": 6,
          "unresolved-numerical": 6
        },
        "finite_token_status": {
          "reject": 10,
          "unresolved-numerical": 2
        },
        "conditional_scalar_status": {
          "reject": 6,
          "unresolved-numerical": 6
        },
        "conditional_token_status": {
          "reject": 10,
          "unresolved-numerical": 2
        }
      },
      "C/J/delta": {
        "finite_scalar_status": {
          "pass": 27
        },
        "finite_token_status": {
          "pass": 27
        },
        "conditional_scalar_status": {
          "pass": 27
        },
        "conditional_token_status": {
          "pass": 27
        }
      },
      "C/J/odd": {
        "finite_scalar_status": {
          "pass": 6,
          "reject": 4,
          "unresolved-numerical": 2
        },
        "finite_token_status": {
          "pass": 12
        },
        "conditional_scalar_status": {
          "unidentified": 10,
          "unresolved-numerical": 2
        },
        "conditional_token_status": {
          "pass": 12
        }
      },
      "C/J/even": {
        "finite_scalar_status": {
          "pass": 6,
          "unresolved-numerical": 6
        },
        "finite_token_status": {
          "reject": 10,
          "unresolved-numerical": 2
        },
        "conditional_scalar_status": {
          "unidentified": 6,
          "unresolved-numerical": 6
        },
        "conditional_token_status": {
          "unidentified": 10,
          "unresolved-numerical": 2
        }
      },
      "C/H/delta": {
        "finite_scalar_status": {
          "pass": 27
        },
        "finite_token_status": {
          "pass": 27
        },
        "conditional_scalar_status": {
          "pass": 27
        },
        "conditional_token_status": {
          "pass": 27
        }
      },
      "C/H/odd": {
        "finite_scalar_status": {
          "pass": 6,
          "unidentified": 4,
          "unresolved-numerical": 2
        },
        "finite_token_status": {
          "pass": 12
        },
        "conditional_scalar_status": {
          "unidentified": 10,
          "unresolved-numerical": 2
        },
        "conditional_token_status": {
          "pass": 12
        }
      },
      "C/H/even": {
        "finite_scalar_status": {
          "pass": 6,
          "unresolved-numerical": 6
        },
        "finite_token_status": {
          "pass": 10,
          "unresolved-numerical": 2
        },
        "conditional_scalar_status": {
          "pass": 6,
          "unresolved-numerical": 6
        },
        "conditional_token_status": {
          "unidentified": 10,
          "unresolved-numerical": 2
        }
      },
      "V/J/delta": {
        "finite_scalar_status": {
          "pass": 27
        },
        "finite_token_status": {
          "pass": 27
        },
        "conditional_scalar_status": {
          "pass": 27
        },
        "conditional_token_status": {
          "pass": 27
        }
      },
      "V/J/odd": {
        "finite_scalar_status": {
          "pass": 12
        },
        "finite_token_status": {
          "pass": 12
        },
        "conditional_scalar_status": {
          "unidentified": 12
        },
        "conditional_token_status": {
          "pass": 12
        }
      },
      "V/J/even": {
        "finite_scalar_status": {
          "pass": 6,
          "unresolved-numerical": 6
        },
        "finite_token_status": {
          "reject": 10,
          "unresolved-numerical": 2
        },
        "conditional_scalar_status": {
          "pass": 6,
          "unresolved-numerical": 6
        },
        "conditional_token_status": {
          "reject": 10,
          "unresolved-numerical": 2
        }
      },
      "V/H/delta": {
        "finite_scalar_status": {
          "pass": 27
        },
        "finite_token_status": {
          "pass": 27
        },
        "conditional_scalar_status": {
          "pass": 27
        },
        "conditional_token_status": {
          "pass": 27
        }
      },
      "V/H/odd": {
        "finite_scalar_status": {
          "pass": 12
        },
        "finite_token_status": {
          "pass": 12
        },
        "conditional_scalar_status": {
          "unidentified": 12
        },
        "conditional_token_status": {
          "pass": 12
        }
      },
      "V/H/even": {
        "finite_scalar_status": {
          "pass": 6,
          "unresolved-numerical": 6
        },
        "finite_token_status": {
          "pass": 10,
          "unresolved-numerical": 2
        },
        "conditional_scalar_status": {
          "pass": 6,
          "unresolved-numerical": 6
        },
        "conditional_token_status": {
          "pass": 10,
          "unresolved-numerical": 2
        }
      }
    },
    "largest_eta_even": [
      {
        "key": "C/E/even/0.0002/h/0.5",
        "pool": "C",
        "predictor": "E",
        "token_RMS": 8.132741663025773e-07,
        "token_error_RMS": 2.1951104908166767e-06,
        "readout_budget": 1.6e-10,
        "prediction_budget": 4.0005e-11,
        "conditional_token_status": "reject",
        "error_to_response_RMS": 2.699102691035177
      },
      {
        "key": "C/E/even/0.0002/z/0.5",
        "pool": "C",
        "predictor": "E",
        "token_RMS": 4.944763160309773e-07,
        "token_error_RMS": 1.4076725057161862e-06,
        "readout_budget": 1.6e-10,
        "prediction_budget": 2.4009418473538544e-11,
        "conditional_token_status": "reject",
        "error_to_response_RMS": 2.8467945988094607
      },
      {
        "key": "C/J/even/0.0002/h/0.5",
        "pool": "C",
        "predictor": "J",
        "token_RMS": 8.132741663025773e-07,
        "token_error_RMS": 7.746436414852767e-07,
        "readout_budget": 1.6e-10,
        "prediction_budget": 1.6e-10,
        "conditional_token_status": "unidentified",
        "error_to_response_RMS": 0.95249999764172
      },
      {
        "key": "C/J/even/0.0002/z/0.5",
        "pool": "C",
        "predictor": "J",
        "token_RMS": 4.944763160309773e-07,
        "token_error_RMS": 4.7316943317220757e-07,
        "readout_budget": 1.6e-10,
        "prediction_budget": 1.6e-10,
        "conditional_token_status": "unidentified",
        "error_to_response_RMS": 0.9569102054678895
      },
      {
        "key": "C/H/even/0.0002/h/0.5",
        "pool": "C",
        "predictor": "H",
        "token_RMS": 8.132741663025773e-07,
        "token_error_RMS": 6.325799811938739e-09,
        "readout_budget": 1.6e-10,
        "prediction_budget": 4.0005e-11,
        "conditional_token_status": "unidentified",
        "error_to_response_RMS": 0.0077781885544182345
      },
      {
        "key": "C/H/even/0.0002/z/0.5",
        "pool": "C",
        "predictor": "H",
        "token_RMS": 4.944763160309773e-07,
        "token_error_RMS": 4.068290632218476e-09,
        "readout_budget": 1.6e-10,
        "prediction_budget": 4.0005e-11,
        "conditional_token_status": "unidentified",
        "error_to_response_RMS": 0.008227473187944579
      },
      {
        "key": "V/J/even/0.0002/h/0.5",
        "pool": "V",
        "predictor": "J",
        "token_RMS": 5.928771779500754e-07,
        "token_error_RMS": 5.517330858196934e-07,
        "readout_budget": 1.6e-10,
        "prediction_budget": 1.6e-10,
        "conditional_token_status": "reject",
        "error_to_response_RMS": 0.9306026717495833
      },
      {
        "key": "V/J/even/0.0002/z/0.5",
        "pool": "V",
        "predictor": "J",
        "token_RMS": 3.6960827799029495e-07,
        "token_error_RMS": 3.4717428216559364e-07,
        "readout_budget": 1.6e-10,
        "prediction_budget": 1.6e-10,
        "conditional_token_status": "reject",
        "error_to_response_RMS": 0.9393033187820259
      },
      {
        "key": "V/H/even/0.0002/h/0.5",
        "pool": "V",
        "predictor": "H",
        "token_RMS": 5.928771779500754e-07,
        "token_error_RMS": 5.158604869163604e-09,
        "readout_budget": 1.6e-10,
        "prediction_budget": 4.0005e-11,
        "conditional_token_status": "pass",
        "error_to_response_RMS": 0.00870096718345599
      },
      {
        "key": "V/H/even/0.0002/z/0.5",
        "pool": "V",
        "predictor": "H",
        "token_RMS": 3.6960827799029495e-07,
        "token_error_RMS": 3.246796850218777e-09,
        "readout_budget": 1.6e-10,
        "prediction_budget": 4.0005e-11,
        "conditional_token_status": "pass",
        "error_to_response_RMS": 0.008784426766285875
      }
    ],
    "uniform_order_ledgers": [
      {
        "pool": "C",
        "eta": 0.0002,
        "direction": "uniform",
        "epsilon": 0.0,
        "actual": {
          "mean": -0.0002928491396436101,
          "sd": 8.338334942101595e-05,
          "rms": 0.0003043995448974747,
          "positive_mean": 0.0,
          "negative_mean": -0.0002928491396436101
        },
        "actual_token_statistics": {
          "mean": -0.0002928491396436101,
          "sd": 0.0012114177389209555,
          "rms": 0.0012462914479668874,
          "positive_mean": 0.00026937643194146934,
          "negative_mean": -0.0005622255715850795
        },
        "terms": {
          "A1": {
            "mean": -0.00029336303885058924,
            "sd": 8.340175529994266e-05,
            "rms": 0.00030489897138374304,
            "positive_mean": 0.0,
            "negative_mean": -0.00029336303885058924,
            "token_statistics": {
              "mean": -0.0002933630388505893,
              "sd": 0.001211511205934933,
              "rms": 0.0012465031421076205,
              "positive_mean": 0.00026918311771742667,
              "negative_mean": -0.000562546156568016
            },
            "numerical_budget": 2.000005e-09,
            "mean_resolved": true,
            "token_RMS_resolved": true,
            "signed_gain_fraction": 1.0017548257358877
          },
          "QF": {
            "mean": 5.615883419464952e-07,
            "sd": 8.912605904482268e-08,
            "rms": 5.685621003668536e-07,
            "positive_mean": 5.615883419464952e-07,
            "negative_mean": 0.0,
            "token_statistics": {
              "mean": 5.615883419464953e-07,
              "sd": 7.064486617733429e-07,
              "rms": 9.024598447362461e-07,
              "positive_mean": 5.615883419464953e-07,
              "negative_mean": 0.0
            },
            "numerical_budget": 2.0005000000000003e-11,
            "mean_resolved": true,
            "token_RMS_resolved": true,
            "signed_gain_fraction": -0.0019176711348031748
          },
          "R2": {
            "mean": -4.784099679845669e-08,
            "sd": 6.533983841893991e-08,
            "rms": 8.077562501226517e-08,
            "positive_mean": 5.767112768665326e-09,
            "negative_mean": -5.360810956712202e-08,
            "token_statistics": {
              "mean": -4.7840996798456696e-08,
              "sd": 9.248347554228509e-07,
              "rms": 9.26055211443716e-07,
              "positive_mean": 2.0708562195883463e-07,
              "negative_mean": -2.5492661875729127e-07
            },
            "numerical_budget": 2.0005000000000003e-11,
            "mean_resolved": true,
            "token_RMS_resolved": true,
            "signed_gain_fraction": 0.00016336396568102595
          },
          "Ege3": {
            "mean": 1.5186183105961135e-10,
            "sd": 2.49839947891061e-10,
            "rms": 2.915379204295837e-10,
            "positive_mean": 1.8099395501888862e-10,
            "negative_mean": -2.913212395927727e-11,
            "token_statistics": {
              "mean": 1.5186183105961135e-10,
              "sd": 3.568126842770528e-09,
              "rms": 3.5712948829988955e-09,
              "positive_mean": 5.811117160423352e-10,
              "negative_mean": -4.292498849827238e-10
            },
            "numerical_budget": 2.0500150000000004e-09,
            "mean_resolved": false,
            "token_RMS_resolved": false,
            "signed_gain_fraction": -5.185667652786117e-07
          }
        },
        "covariance_keys": [
          "A1",
          "QF",
          "R2",
          "Ege3"
        ],
        "document_covariance": [
          [
            6.955852787111515e-09,
            -2.1183638505935535e-12,
            5.785851684140907e-13,
            -5.140662655498753e-16
          ],
          [
            -2.1183638505935535e-12,
            7.943454400861219e-15,
            -7.245261808704749e-16,
            -6.577760396077664e-19
          ],
          [
            5.785851684140907e-13,
            -7.245261808704749e-16,
            4.269294484613176e-15,
            -1.695386880704571e-18
          ],
          [
            -5.140662655498753e-16,
            -6.577760396077664e-19,
            -1.695386880704571e-18,
            6.24199995622081e-20
          ]
        ],
        "token_covariance": [
          [
            1.467759402105915e-06,
            -2.6143258077987623e-10,
            1.4812950893176544e-10,
            -5.385757816978592e-13
          ],
          [
            -2.6143258077987623e-10,
            4.990697117213471e-13,
            -6.771938707670986e-14,
            2.2938670093169716e-16
          ],
          [
            1.4812950893176544e-10,
            -6.771938707670986e-14,
            8.55319324838044e-13,
            -3.003143561251232e-17
          ],
          [
            -5.385757816978592e-13,
            2.2938670093169716e-16,
            -3.003143561251232e-17,
            1.273152916609958e-17
          ]
        ]
      },
      {
        "pool": "V",
        "eta": 0.0002,
        "direction": "uniform",
        "epsilon": 0.0,
        "actual": {
          "mean": -0.00017448560674303488,
          "sd": 8.648570986346758e-05,
          "rms": 0.00019459334316817005,
          "positive_mean": 7.657834550427867e-07,
          "negative_mean": -0.0001752513901980777
        },
        "actual_token_statistics": {
          "mean": -0.00017448560674303485,
          "sd": 0.0011736365967447468,
          "rms": 0.0011865159280356023,
          "positive_mean": 0.00031131587746894857,
          "negative_mean": -0.0004858014842119835
        },
        "terms": {
          "A1": {
            "mean": -0.0001750078799624644,
            "sd": 8.651390747897736e-05,
            "rms": 0.00019507419193674563,
            "positive_mean": 7.536584950724797e-07,
            "negative_mean": -0.00017576153845753686,
            "token_statistics": {
              "mean": -0.00017500787996246439,
              "sd": 0.001173727574055473,
              "rms": 0.0011866828253589666,
              "positive_mean": 0.0003110987016593047,
              "negative_mean": -0.0004861065816217691
            },
            "numerical_budget": 2.000005e-09,
            "mean_resolved": true,
            "token_RMS_resolved": true,
            "signed_gain_fraction": 1.002993216627883
          },
          "QF": {
            "mean": 5.441719576625458e-07,
            "sd": 8.359460902813911e-08,
            "rms": 5.5050575288237e-07,
            "positive_mean": 5.441719576625458e-07,
            "negative_mean": 0.0,
            "token_statistics": {
              "mean": 5.441719576625459e-07,
              "sd": 6.358581296581708e-07,
              "rms": 8.369137226446899e-07,
              "positive_mean": 5.441719576625459e-07,
              "negative_mean": 0.0
            },
            "numerical_budget": 2.0005000000000003e-11,
            "mean_resolved": true,
            "token_RMS_resolved": true,
            "signed_gain_fraction": -0.003118721181764571
          },
          "R2": {
            "mean": -2.189052362091744e-08,
            "sd": 5.1131869947919176e-08,
            "rms": 5.543678937805847e-08,
            "positive_mean": 1.2049655296758362e-08,
            "negative_mean": -3.3940178917675795e-08,
            "token_statistics": {
              "mean": -2.189052362091744e-08,
              "sd": 7.916930249567204e-07,
              "rms": 7.919818056704911e-07,
              "positive_mean": 2.1276455601304726e-07,
              "negative_mean": -2.346550796339647e-07
            },
            "numerical_budget": 2.0005000000000003e-11,
            "mean_resolved": true,
            "token_RMS_resolved": true,
            "signed_gain_fraction": 0.00012545747485725648
          },
          "Ege3": {
            "mean": -8.214612128279925e-12,
            "sd": 3.3174931958383317e-10,
            "rms": 3.3055296974988815e-10,
            "positive_mean": 8.299617598740593e-11,
            "negative_mean": -9.121078811568586e-11,
            "token_statistics": {
              "mean": -8.214612128279927e-12,
              "sd": 4.7755872476421796e-09,
              "rms": 4.7755110324857224e-09,
              "positive_mean": 4.874314758244069e-10,
              "negative_mean": -4.956460879526867e-10
            },
            "numerical_budget": 2.0500150000000004e-09,
            "mean_resolved": false,
            "token_RMS_resolved": false,
            "signed_gain_fraction": 4.7079024348281024e-08
          }
        },
        "covariance_keys": [
          "A1",
          "QF",
          "R2",
          "Ege3"
        ],
        "document_covariance": [
          [
            7.484656187281051e-09,
            -2.3404397968846298e-12,
            -1.0538392114063384e-13,
            1.8490127834098922e-15
          ],
          [
            -2.3404397968846298e-12,
            6.988058658567436e-15,
            8.66511845681157e-17,
            -1.3591050665489254e-18
          ],
          [
            -1.0538392114063384e-13,
            8.66511845681157e-17,
            2.614468124370918e-15,
            -2.518391150661615e-19
          ],
          [
            1.8490127834098922e-15,
            -1.3591050665489254e-18,
            -2.518391150661615e-19,
            1.1005761104433629e-19
          ]
        ],
        "token_covariance": [
          [
            1.3776364180981456e-06,
            -1.9023318576958756e-10,
            8.320011034318708e-11,
            -2.273799693143375e-13
          ],
          [
            -1.9023318576958756e-10,
            4.043155610523872e-13,
            -3.314359066144121e-14,
            -2.54814432224524e-16
          ],
          [
            8.320011034318708e-11,
            -3.314359066144121e-14,
            6.267778457651225e-13,
            -1.4408277503406122e-16
          ],
          [
            -2.273799693143375e-13,
            -2.54814432224524e-16,
            -1.4408277503406122e-16,
            2.280623355984259e-17
          ]
        ]
      }
    ],
    "even_mechanism": [
      {
        "pool": "C",
        "direction": "h",
        "second_moment": 6.614148695751519e-13,
        "second_moment_terms": {
          "Fisher": 5.881134482099353e-14,
          "representation": 5.997381847585259e-13,
          "higher": 4.001574326072428e-17,
          "Fisher_representation": 2.419321055365432e-15,
          "Fisher_higher": 9.495254318020978e-17,
          "representation_higher": 3.11050653826179e-16
        },
        "second_moment_signed_fractions": {
          "Fisher": 0.0889174820922456,
          "representation": 0.9067503806555741,
          "higher": 6.0500217188082995e-05,
          "Fisher_representation": 0.0036577965912974407,
          "Fisher_higher": 0.00014355973466577922,
          "representation_higher": 0.0004702807090290801
        },
        "representation_correction_RMS_ratio": 0.008176445822916685,
        "representation_correction_RMS_ratio_upper": 0.008644753185930642
      },
      {
        "pool": "C",
        "direction": "z",
        "second_moment": 2.4450682711556694e-13,
        "second_moment_terms": {
          "Fisher": 1.9885524891974664e-14,
          "representation": 2.2385772244938017e-13,
          "higher": 1.6550988668196588e-17,
          "Fisher_representation": 6.810991067669694e-16,
          "Fisher_higher": 4.41224773362203e-17,
          "representation_higher": 2.1807201440705046e-17
        },
        "second_moment_signed_fractions": {
          "Fisher": 0.08132911921750025,
          "representation": 0.9155479423221712,
          "higher": 6.769131505834686e-05,
          "Fisher_representation": 0.0027856036365195057,
          "Fisher_higher": 0.00018045499120302954,
          "representation_higher": 8.918851754760124e-05
        },
        "representation_correction_RMS_ratio": 0.008610933378036081,
        "representation_correction_RMS_ratio_upper": 0.009378113104248966
      },
      {
        "pool": "V",
        "direction": "h",
        "second_moment": 3.5150334813404536e-13,
        "second_moment_terms": {
          "Fisher": 4.982238049967971e-14,
          "representation": 3.046445262983802e-13,
          "higher": 2.6611204196158433e-17,
          "Fisher_representation": -2.551488177330352e-15,
          "Fisher_higher": -1.6414339948790226e-16,
          "representation_higher": -2.7453829139250628e-16
        },
        "second_moment_signed_fractions": {
          "Fisher": 0.14174084191277747,
          "representation": 0.8666902546322387,
          "higher": 7.570682992757806e-05,
          "Fisher_representation": -0.007258787692563728,
          "Fisher_higher": -0.0004669753513281085,
          "representation_higher": -0.0007810403310520145
        },
        "representation_correction_RMS_ratio": 0.009544495238614496,
        "representation_correction_RMS_ratio_upper": 0.010202911311451538
      },
      {
        "pool": "V",
        "direction": "z",
        "second_moment": 1.3661027915895115e-13,
        "second_moment_terms": {
          "Fisher": 1.7159132876102318e-14,
          "representation": 1.2061996056830113e-13,
          "higher": 1.0541689786590578e-17,
          "Fisher_representation": -1.0071742118868573e-15,
          "Fisher_higher": -6.630818327218677e-17,
          "representation_higher": -1.0587358007985422e-16
        },
        "second_moment_signed_fractions": {
          "Fisher": 0.1256064549589056,
          "representation": 0.8829493747535302,
          "higher": 7.716615361223975e-05,
          "Fisher_representation": -0.0073726092801184645,
          "Fisher_higher": -0.00048538209335649427,
          "representation_higher": -0.0007750044925731129
        },
        "representation_correction_RMS_ratio": 0.009577861988230778,
        "representation_correction_RMS_ratio_upper": 0.010624612553250179
      }
    ],
    "scope": "Local one-step intervention; no cold-boundary predictor, new corpus, B/O stock, size law or long-term dominance qualification"
  },
  "natural_native_finite_clock": {
    "model": "Pythia70M step32000 frozen backbone, last-layer K ray and centered5% readout ball",
    "initialization": "Readout compensated at b=1 on the same Cal pool, paired with b0=1.1873405691507009 from an earlier endpoint",
    "metric": 147534.32212667394,
    "algorithm": "Coupled backward Euler with full/half controls; no temperature mobility acceleration",
    "source": [
      {
        "substeps": 1,
        "total": {
          "columns": [
            "temperature",
            "readout",
            "gain",
            "residual"
          ],
          "mean": [
            2.5935201151308082e-05,
            0.0006886161746493983,
            0.0007145513758007715,
            6.507382825302512e-17
          ],
          "sample_sd": [
            1.9939404914529644e-05,
            0.0021219536568822645,
            0.0021137570470761385,
            5.571842381726926e-16
          ],
          "RMS": [
            3.2666625696311686e-05,
            0.0022229939975721928,
            0.0022234312483300303,
            5.588053814755688e-16
          ],
          "covariance": [
            [
              3.9757986834556896e-10,
              -1.755802388010511e-08,
              -1.7160444011758573e-08,
              9.630258929505686e-22
            ],
            [
              -1.755802388010511e-08,
              4.502687321956016e-06,
              4.485129298075849e-06,
              -5.628757205403756e-20
            ],
            [
              -1.7160444011758573e-08,
              4.485129298075849e-06,
              4.467968854064037e-06,
              -5.532454616077654e-20
            ],
            [
              9.630258929505686e-22,
              -5.628757205403756e-20,
              -5.532454616077654e-20,
              3.1045427526808385e-31
            ]
          ]
        },
        "endpoint_orders": {
          "columns": [
            "CE",
            "CE0",
            "I",
            "Qout",
            "A1",
            "QF",
            "R2",
            "higher",
            "output_residual"
          ],
          "mean": [
            2.1344548894886675,
            2.1351694408644684,
            -0.0009497385818351215,
            0.00023518720603436316,
            -0.0009432220680552246,
            0.0002347390267107542,
            -6.523116136160497e-06,
            4.547816798591123e-07,
            -1.3070777167317922e-17
          ],
          "sample_sd": [
            0.4620463282641036,
            0.463490221674808,
            0.002100564075771421,
            5.857100962816568e-05,
            0.002100072677992881,
            5.9302994350095056e-05,
            1.0903741129616637e-06,
            1.5313070357399746e-06,
            4.192261805269926e-16
          ],
          "RMS": [
            2.1835101600463176,
            2.1845121699483028,
            0.0022978035542721206,
            0.0002423154633455237,
            0.002294671569687186,
            0.00024205739081331926,
            6.6129170135500365e-06,
            1.5916683301249156e-06,
            4.1778988040305813e-16
          ],
          "covariance": [
            [
              0.21348680946233978,
              0.21415276354082402,
              -0.0006552735239781138,
              -1.0680554506364788e-05,
              -0.0006551325832638315,
              -1.0573036403344506e-05,
              -1.410883109648082e-07,
              -1.0737050634823658e-07,
              -1.0634883005458068e-17
            ],
            [
              0.21415276354082402,
              0.21482318558816269,
              -0.0006597119778417723,
              -1.0710069496770468e-05,
              -0.000659570026771751,
              -1.0601900377199304e-05,
              -1.4209980492250907e-07,
              -1.0802038468044179e-07,
              -1.0681192800899675e-17
            ],
            [
              -0.0006552735239781138,
              -0.0006597119778417723,
              4.412369436421444e-06,
              2.6084427236818846e-08,
              4.411336751430205e-06,
              2.539144274752784e-08,
              1.0338499254365128e-09,
              6.918195551374811e-10,
              4.296108994689175e-20
            ],
            [
              -1.0680554506364788e-05,
              -1.0710069496770468e-05,
              2.6084427236818846e-08,
              3.4305631688626768e-09,
              2.6106756489089637e-08,
              3.4725311072631914e-09,
              -2.2355967735641503e-11,
              -4.194122293231362e-11,
              3.348705494547393e-21
            ],
            [
              -0.0006551325832638315,
              -0.000659570026771751,
              4.411336751430205e-06,
              2.6106756489089637e-08,
              4.410305252852192e-06,
              2.5414180950169588e-08,
              1.0326622617478587e-09,
              6.914118552254695e-10,
              4.2971619915643204e-20
            ],
            [
              -1.0573036403344506e-05,
              -1.0601900377199304e-05,
              2.539144274752784e-08,
              3.4725311072631914e-09,
              2.5414180950169588e-08,
              3.5168451388874063e-09,
              -2.276551487893972e-11,
              -4.428671938370346e-11,
              3.31916456744674e-21
            ],
            [
              -1.410883109648082e-07,
              -1.4209980492250907e-07,
              1.0338499254365128e-09,
              -2.2355967735641503e-11,
              1.0326622617478587e-09,
              -2.276551487893972e-11,
              1.188915706216935e-12,
              4.0829512572504824e-13,
              -1.0547123421050762e-23
            ],
            [
              -1.0737050634823658e-07,
              -1.0802038468044179e-07,
              6.918195551374811e-10,
              -4.194122293231362e-11,
              6.914118552254695e-10,
              -4.428671938370346e-11,
              4.0829512572504824e-13,
              2.3449012377067476e-12,
              2.9558081946021973e-23
            ],
            [
              -1.0634883005458068e-17,
              -1.0681192800899675e-17,
              4.296108994689175e-20,
              3.348705494547393e-21,
              4.2971619915643204e-20,
              3.31916456744674e-21,
              -1.0547123421050762e-23,
              2.9558081946021973e-23,
              1.7575059043925059e-31
            ]
          ]
        },
        "tails": [
          {
            "left": 4096.0,
            "right": 8192.0,
            "statistics": {
              "columns": [
                "temperature",
                "readout",
                "gain",
                "residual"
              ],
              "mean": [
                6.5257745138756445e-06,
                1.6081270240678944e-10,
                6.525935326507498e-06,
                -7.055506062993167e-17
              ],
              "sample_sd": [
                5.000709279467061e-06,
                3.0057759983760984e-06,
                4.375270111193211e-06,
                6.210284024058996e-16
              ],
              "RMS": [
                8.209595506924092e-06,
                2.9940116679313103e-06,
                7.847373180475382e-06,
                6.226083819419876e-16
              ],
              "covariance": [
                [
                  2.5007093297747973e-11,
                  -7.449397052274296e-12,
                  1.7557696245507655e-11,
                  3.3970599723511626e-23
                ],
                [
                  -7.449397052274296e-12,
                  9.034689352413832e-12,
                  1.585292300249286e-12,
                  1.0974609887715847e-22
                ],
                [
                  1.7557696245507655e-11,
                  1.585292300249286e-12,
                  1.914298854590065e-11,
                  1.437166989863465e-22
                ],
                [
                  3.3970599723511626e-23,
                  1.0974609887715847e-22,
                  1.437166989863465e-22,
                  3.856762765948239e-31
                ]
              ]
            },
            "raw_temperature_fraction": 0.9999753579182438
          },
          {
            "left": 8192.0,
            "right": 16384.0,
            "statistics": {
              "columns": [
                "temperature",
                "readout",
                "gain",
                "residual"
              ],
              "mean": [
                1.3003519211690458e-05,
                3.193257963351687e-10,
                1.3003838537570256e-05,
                8.346418778380022e-17
              ],
              "sample_sd": [
                9.975432208116553e-06,
                5.994330131314496e-06,
                8.727686145720053e-06,
                5.952846524760701e-16
              ],
              "RMS": [
                1.6365309151665093e-05,
                5.97086887514635e-06,
                1.564216175822571e-05,
                5.988001509618655e-16
              ],
              "covariance": [
                [
                  9.950924773872909e-11,
                  -2.963436800198651e-11,
                  6.987487973745128e-11,
                  7.086897449855456e-22
                ],
                [
                  -2.963436800198651e-11,
                  3.593199372318486e-11,
                  6.297625720616049e-12,
                  -5.823002311758786e-22
                ],
                [
                  6.987487973745128e-11,
                  6.297625720616049e-12,
                  7.617250545819374e-11,
                  1.2638951416403052e-22
                ],
                [
                  7.086897449855456e-22,
                  -5.823002311758786e-22,
                  1.2638951416403052e-22,
                  3.5436381747355563e-31
                ]
              ]
            },
            "raw_temperature_fraction": 0.999975443721569
          }
        ]
      },
      {
        "substeps": 2,
        "total": {
          "columns": [
            "temperature",
            "readout",
            "gain",
            "residual"
          ],
          "mean": [
            2.5951187626118014e-05,
            0.0006886010929237369,
            0.0007145522805498267,
            -2.844028570666798e-17
          ],
          "sample_sd": [
            1.9940308225035493e-05,
            0.002121942173979042,
            0.0021137460621318,
            5.196220448923002e-16
          ],
          "RMS": [
            3.267986623531824e-05,
            0.0022229784503914013,
            0.0022234211775882845,
            5.183690665523615e-16
          ],
          "covariance": [
            [
              3.976158921094181e-10,
              -1.75568952124862e-08,
              -1.715927932037618e-08,
              5.841766819374749e-22
            ],
            [
              -1.75568952124862e-08,
              4.502638589710904e-06,
              4.485081694498237e-06,
              -1.7514567578491378e-19
            ],
            [
              -1.715927932037618e-08,
              4.485081694498237e-06,
              4.46792241517769e-06,
              -1.7456149910270627e-19
            ],
            [
              5.841766819374749e-22,
              -1.7514567578491378e-19,
              -1.7456149910270627e-19,
              2.7000706953805554e-31
            ]
          ]
        },
        "endpoint_orders": {
          "columns": [
            "CE",
            "CE0",
            "I",
            "Qout",
            "A1",
            "QF",
            "R2",
            "higher",
            "output_residual"
          ],
          "mean": [
            2.134454888583918,
            2.1351694408644684,
            -0.0009497372891879567,
            0.0002351850086380788,
            -0.000943220593928318,
            0.00023473683647659205,
            -6.523298034462641e-06,
            4.5477493636205756e-07,
            5.113749660811025e-17
          ],
          "sample_sd": [
            0.4620463329861343,
            0.463490221674808,
            0.0021005529991320066,
            5.857059475871697e-05,
            0.002100061587023889,
            5.930256718188455e-05,
            1.0904050173535855e-06,
            1.5312845073150868e-06,
            3.591350183319513e-16
          ],
          "RMS": [
            2.183510160153303,
            2.1845121699483028,
            0.002297792973260083,
            0.00024231323109438714,
            0.0022946608926483953,
            0.00024205516296201825,
            6.613101497619001e-06,
            1.591644898585428e-06,
            3.6136597049010886e-16
          ],
          "covariance": [
            [
              0.21348681382593368,
              0.21415276574584055,
              -0.0006552714047730237,
              -1.068051513392878e-05,
              -0.000655130459787824,
              -1.0572998578179846e-05,
              -1.410925916953045e-07,
              -1.0736894924467764e-07,
              8.75151071408561e-18
            ],
            [
              0.21415276574584055,
              0.21482318558816269,
              -0.0006597098121744086,
              -1.0710030147721682e-05,
              -0.0006595678568091054,
              -1.0601862590449378e-05,
              -1.4210411008559468e-07,
              -1.080188124814446e-07,
              8.846647394471103e-18
            ],
            [
              -0.0006552714047730237,
              -0.0006597098121744086,
              4.412322902162469e-06,
              2.608449922251027e-08,
              4.411290192487687e-06,
              2.5391530759288542e-08,
              1.0338746781436705e-09,
              6.918034597652462e-10,
              -9.65236721009614e-20
            ],
            [
              -1.068051513392878e-05,
              -1.0710030147721682e-05,
              2.608449922251027e-08,
              3.4305145703898435e-09,
              2.6106828793519826e-08,
              3.472481510233246e-09,
              -2.2356287853390935e-11,
              -4.194022299818242e-11,
              1.3869917153496605e-21
            ],
            [
              -0.000655130459787824,
              -0.0006595678568091054,
              4.411290192487687e-06,
              2.6106828793519826e-08,
              4.410258669293296e-06,
              2.541426928479751e-08,
              1.0326869471754573e-09,
              6.913957558406953e-10,
              -9.648431210867e-20
            ],
            [
              -1.0572998578179846e-05,
              -1.0601862590449378e-05,
              2.5391530759288542e-08,
              3.472481510233246e-09,
              2.541426928479751e-08,
              3.5167944743619307e-09,
              -2.2765839153627914e-11,
              -4.4285650482582435e-11,
              1.4538604098451819e-21
            ],
            [
              -1.410925916953045e-07,
              -1.4210411008559468e-07,
              1.0338746781436705e-09,
              -2.2356287853390935e-11,
              1.0326869471754573e-09,
              -2.2765839153627914e-11,
              1.1889831018698727e-12,
              4.082991665409955e-13,
              -3.940458905831294e-23
            ],
            [
              -1.0736894924467764e-07,
              -1.080188124814446e-07,
              6.918034597652462e-10,
              -4.194022299818242e-11,
              6.913957558406953e-10,
              -4.4285650482582435e-11,
              4.082991665409955e-13,
              2.3448322423432082e-12,
              -6.682409759967763e-23
            ],
            [
              8.75151071408561e-18,
              8.846647394471103e-18,
              -9.65236721009614e-20,
              1.3869917153496605e-21,
              -9.648431210867e-20,
              1.4538604098451819e-21,
              -3.940458905831294e-23,
              -6.682409759967763e-23,
              1.28977961392291e-31
            ]
          ]
        },
        "tails": [
          {
            "left": 4096.0,
            "right": 8192.0,
            "statistics": {
              "columns": [
                "temperature",
                "readout",
                "gain",
                "residual"
              ],
              "mean": [
                6.525990900446463e-06,
                1.7751590164872198e-10,
                6.526168416275471e-06,
                -7.264140173049979e-17
              ],
              "sample_sd": [
                5.000888183129158e-06,
                3.0054621836110534e-06,
                4.375243590434665e-06,
                6.449454626578523e-16
              ],
              "RMS": [
                8.2098756359278e-06,
                2.9936990823530997e-06,
                7.847552350144928e-06,
                6.465151021799393e-16
              ],
              "covariance": [
                [
                  2.5008882620160848e-11,
                  -7.449464540814155e-12,
                  1.7559418079423416e-11,
                  7.672104342328989e-23
                ],
                [
                  -7.449464540814155e-12,
                  9.03280293711612e-12,
                  1.5833383962207201e-12,
                  -8.124083410514556e-23
                ],
                [
                  1.7559418079423416e-11,
                  1.5833383962207201e-12,
                  1.9142756475639618e-11,
                  -4.519790265901032e-24
                ],
                [
                  7.672104342328989e-23,
                  -8.124083410514556e-23,
                  -4.519790265901032e-24,
                  4.159546498029512e-31
                ]
              ]
            },
            "raw_temperature_fraction": 0.9999727993797151
          },
          {
            "left": 8192.0,
            "right": 16384.0,
            "statistics": {
              "columns": [
                "temperature",
                "readout",
                "gain",
                "residual"
              ],
              "mean": [
                1.30039472019351e-05,
                3.5320299231252533e-10,
                1.3004300404927116e-05,
                -2.946911065342002e-19
              ],
              "sample_sd": [
                9.975787292185534e-06,
                5.994592303348855e-06,
                8.728008424691156e-06,
                6.262185082210701e-16
              ],
              "RMS": [
                1.636586397307283e-05,
                5.971130022970558e-06,
                1.564272413725146e-05,
                6.237676153624191e-16
              ],
              "covariance": [
                [
                  9.951633209893039e-11,
                  -2.96366689600309e-11,
                  6.98796631392615e-11,
                  3.6200440231300237e-22
                ],
                [
                  -2.96366689600309e-11,
                  3.593513688336933e-11,
                  6.298467922597344e-12,
                  -7.410975410220452e-22
                ],
                [
                  6.98796631392615e-11,
                  6.298467922597344e-12,
                  7.61781310614798e-11,
                  -3.790931383168923e-22
                ],
                [
                  3.6200440231300237e-22,
                  -7.410975410220452e-22,
                  -3.790931383168923e-22,
                  3.921496200386225e-31
                ]
              ]
            },
            "raw_temperature_fraction": 0.9999728395237715
          }
        ]
      }
    ],
    "forecast_windows": [
      {
        "kind": "J",
        "substeps": 1,
        "windows": [
          {
            "left": 0.0,
            "right": 16384.0,
            "gain": {
              "actual_gain": 0.0007145513758008981,
              "signed_error": -1.1264495343610292e-05,
              "absolute_error": 1.1264495343610292e-05,
              "raw_relative": 0.01576443027764741,
              "numerator_budget": 2e-08,
              "numerator": 1.1284495343610292e-05,
              "denominator": 0.0007145313758008981,
              "budgeted_relative": 0.015792861903316448,
              "tolerance": 0.05,
              "status": "pass"
            },
            "b": {
              "actual_movement": 0.0016976455967956383,
              "signed_error": -0.00041816306172770545,
              "absolute_error": 0.00041816306172770545,
              "resolution": 0.0001,
              "relative": 0.24631940996224533,
              "tolerance": 0.05,
              "status": "reject",
              "numerical_budget_added": false
            }
          },
          {
            "left": 4096.0,
            "right": 8192.0,
            "gain": {
              "actual_gain": 6.525935326351373e-06,
              "signed_error": -2.8349464056276474e-06,
              "absolute_error": 2.8349464056276474e-06,
              "raw_relative": 0.4344122740812781,
              "numerator_budget": 4e-08,
              "numerator": 2.8749464056276475e-06,
              "denominator": 6.505935326351373e-06,
              "budgeted_relative": 0.4418959398478928,
              "tolerance": 0.05,
              "status": "reject"
            },
            "b": {
              "actual_movement": 0.00042563050678956493,
              "signed_error": -0.00010552360664739524,
              "absolute_error": 0.00010552360664739524,
              "resolution": 0.0001,
              "relative": 0.24792303409672403,
              "tolerance": 0.05,
              "status": "reject",
              "numerical_budget_added": false
            }
          },
          {
            "left": 8192.0,
            "right": 16384.0,
            "gain": {
              "actual_gain": 1.3003838537972712e-05,
              "signed_error": -5.635765693678962e-06,
              "absolute_error": 5.635765693678962e-06,
              "raw_relative": 0.4333924692483589,
              "numerator_budget": 4e-08,
              "numerator": 5.675765693678962e-06,
              "denominator": 1.2983838537972712e-05,
              "budgeted_relative": 0.43714080986755494,
              "tolerance": 0.05,
              "status": "reject"
            },
            "b": {
              "actual_movement": 0.0008496931450363565,
              "signed_error": -0.00021008262810751077,
              "absolute_error": 0.00021008262810751077,
              "resolution": 0.0001,
              "relative": 0.24724529006118062,
              "tolerance": 0.05,
              "status": "reject",
              "numerical_budget_added": false
            }
          }
        ]
      },
      {
        "kind": "Q",
        "substeps": 1,
        "windows": [
          {
            "left": 0.0,
            "right": 16384.0,
            "gain": {
              "actual_gain": 0.0007145513758008981,
              "signed_error": 1.3276572286002875e-08,
              "absolute_error": 1.3276572286002875e-08,
              "raw_relative": 1.8580290704950297e-05,
              "numerator_budget": 2e-08,
              "numerator": 3.3276572286002875e-08,
              "denominator": 0.0007145313758008981,
              "budgeted_relative": 4.6571184153675685e-05,
              "tolerance": 0.05,
              "status": "pass"
            },
            "b": {
              "actual_movement": 0.0016976455967956383,
              "signed_error": 4.399629609519451e-07,
              "absolute_error": 4.399629609519451e-07,
              "resolution": 0.0001,
              "relative": 0.0002591606645005233,
              "tolerance": 0.05,
              "status": "pass",
              "numerical_budget_added": false
            }
          },
          {
            "left": 4096.0,
            "right": 8192.0,
            "gain": {
              "actual_gain": 6.525935326351373e-06,
              "signed_error": 2.514639607653635e-09,
              "absolute_error": 2.514639607653635e-09,
              "raw_relative": 0.0003853301453202664,
              "numerator_budget": 4e-08,
              "numerator": 4.2514639607653636e-08,
              "denominator": 6.505935326351373e-06,
              "budgeted_relative": 0.006534746731258469,
              "tolerance": 0.05,
              "status": "pass"
            },
            "b": {
              "actual_movement": 0.00042563050678956493,
              "signed_error": 8.367118087271308e-08,
              "absolute_error": 8.367118087271308e-08,
              "resolution": 0.0001,
              "relative": 0.00019658172884229084,
              "tolerance": 0.05,
              "status": "pass",
              "numerical_budget_added": false
            }
          },
          {
            "left": 8192.0,
            "right": 16384.0,
            "gain": {
              "actual_gain": 1.3003838537972712e-05,
              "signed_error": 9.900532393913863e-09,
              "absolute_error": 9.900532393913863e-09,
              "raw_relative": 0.0007613546081030739,
              "numerator_budget": 4e-08,
              "numerator": 4.9900532393913864e-08,
              "denominator": 1.2983838537972712e-05,
              "budgeted_relative": 0.003843280417264439,
              "tolerance": 0.05,
              "status": "pass"
            },
            "b": {
              "actual_movement": 0.0008496931450363565,
              "signed_error": 3.2672789629373256e-07,
              "absolute_error": 3.2672789629373256e-07,
              "resolution": 0.0001,
              "relative": 0.0003845245759629526,
              "tolerance": 0.05,
              "status": "pass",
              "numerical_budget_added": false
            }
          }
        ]
      },
      {
        "kind": "J",
        "substeps": 2,
        "windows": [
          {
            "left": 0.0,
            "right": 16384.0,
            "gain": {
              "actual_gain": 0.0007145522805500626,
              "signed_error": -1.1265132747961815e-05,
              "absolute_error": 1.1265132747961815e-05,
              "raw_relative": 0.015765302350291166,
              "numerator_budget": 2e-08,
              "numerator": 1.1285132747961814e-05,
              "denominator": 0.0007145322805500626,
              "budgeted_relative": 0.015793733964369353,
              "tolerance": 0.05,
              "status": "pass"
            },
            "b": {
              "actual_movement": 0.0016977048214468216,
              "signed_error": -0.0004181990609566366,
              "absolute_error": 0.0004181990609566366,
              "resolution": 0.0001,
              "relative": 0.2463320217234455,
              "tolerance": 0.05,
              "status": "reject",
              "numerical_budget_added": false
            }
          },
          {
            "left": 4096.0,
            "right": 8192.0,
            "gain": {
              "actual_gain": 6.5261684163431255e-06,
              "signed_error": -2.8351116800884313e-06,
              "absolute_error": 2.8351116800884313e-06,
              "raw_relative": 0.4344220834063394,
              "numerator_budget": 4e-08,
              "numerator": 2.8751116800884313e-06,
              "denominator": 6.506168416343126e-06,
              "budgeted_relative": 0.441905511217065,
              "tolerance": 0.05,
              "status": "reject"
            },
            "b": {
              "actual_movement": 0.0004256457430871219,
              "signed_error": -0.00010553295451054545,
              "absolute_error": 0.00010553295451054545,
              "resolution": 0.0001,
              "relative": 0.2479361211159694,
              "tolerance": 0.05,
              "status": "reject",
              "numerical_budget_added": false
            }
          },
          {
            "left": 8192.0,
            "right": 16384.0,
            "gain": {
              "actual_gain": 1.30043004054059e-05,
              "signed_error": -5.636092365701728e-06,
              "absolute_error": 5.636092365701728e-06,
              "raw_relative": 0.4334021969654592,
              "numerator_budget": 4e-08,
              "numerator": 5.676092365701728e-06,
              "denominator": 1.29843004054059e-05,
              "budgeted_relative": 0.43715041923541265,
              "tolerance": 0.05,
              "status": "reject"
            },
            "b": {
              "actual_movement": 0.0008497234322730751,
              "signed_error": -0.00021010115737540858,
              "absolute_error": 0.00021010115737540858,
              "resolution": 0.0001,
              "relative": 0.24725828357277604,
              "tolerance": 0.05,
              "status": "reject",
              "numerical_budget_added": false
            }
          }
        ]
      },
      {
        "kind": "Q",
        "substeps": 2,
        "windows": [
          {
            "left": 0.0,
            "right": 16384.0,
            "gain": {
              "actual_gain": 0.0007145522805500626,
              "signed_error": 1.3178058200224996e-08,
              "absolute_error": 1.3178058200224996e-08,
              "raw_relative": 1.844239891037857e-05,
              "numerator_budget": 2e-08,
              "numerator": 3.3178058200224996e-08,
              "denominator": 0.0007145322805500626,
              "budgeted_relative": 4.6433253057068045e-05,
              "tolerance": 0.05,
              "status": "pass"
            },
            "b": {
              "actual_movement": 0.0016977048214468216,
              "signed_error": 4.334916985371251e-07,
              "absolute_error": 4.334916985371251e-07,
              "resolution": 0.0001,
              "relative": 0.0002553398524059641,
              "tolerance": 0.05,
              "status": "pass",
              "numerical_budget_added": false
            }
          },
          {
            "left": 4096.0,
            "right": 8192.0,
            "gain": {
              "actual_gain": 6.5261684163431255e-06,
              "signed_error": 2.489176420539252e-09,
              "absolute_error": 2.489176420539252e-09,
              "raw_relative": 0.0003814146773021891,
              "numerator_budget": 4e-08,
              "numerator": 4.248917642053925e-08,
              "denominator": 6.506168416343126e-06,
              "budgeted_relative": 0.006530598918068099,
              "tolerance": 0.05,
              "status": "pass"
            },
            "b": {
              "actual_movement": 0.0004256457430871219,
              "signed_error": 8.200258849733189e-08,
              "absolute_error": 8.200258849733189e-08,
              "resolution": 0.0001,
              "relative": 0.0001926545485985219,
              "tolerance": 0.05,
              "status": "pass",
              "numerical_budget_added": false
            }
          },
          {
            "left": 8192.0,
            "right": 16384.0,
            "gain": {
              "actual_gain": 1.30043004054059e-05,
              "signed_error": 9.850736670813376e-09,
              "absolute_error": 9.850736670813376e-09,
              "raw_relative": 0.0007574983938942548,
              "numerator_budget": 4e-08,
              "numerator": 4.985073667081338e-08,
              "denominator": 1.29843004054059e-05,
              "budgeted_relative": 0.0038393086353777257,
              "tolerance": 0.05,
              "status": "pass"
            },
            "b": {
              "actual_movement": 0.0008497234322730751,
              "signed_error": 3.2344248990234803e-07,
              "absolute_error": 3.2344248990234803e-07,
              "resolution": 0.0001,
              "relative": 0.00038064442807833913,
              "tolerance": 0.05,
              "status": "pass",
              "numerical_budget_added": false
            }
          }
        ]
      },
      {
        "kind": "J",
        "substeps": 4,
        "windows": [
          {
            "left": 0.0,
            "right": 1024.0,
            "gain": {
              "actual_gain": 0.0006901136864581048,
              "signed_error": -6.600104707210619e-07,
              "absolute_error": 6.600104707210619e-07,
              "raw_relative": 0.000956379338176087,
              "numerator_budget": 2e-08,
              "numerator": 6.800104707210619e-07,
              "denominator": 0.0006900936864581048,
              "budgeted_relative": 0.0009853886277545955,
              "tolerance": 0.05,
              "status": "pass"
            },
            "b": {
              "actual_movement": 0.00010276717674595481,
              "signed_error": -2.321239722613555e-05,
              "absolute_error": 2.321239722613555e-05,
              "resolution": 0.0001,
              "relative": 0.22587364916638378,
              "tolerance": 0.05,
              "status": "reject",
              "numerical_budget_added": false
            }
          }
        ]
      },
      {
        "kind": "Q",
        "substeps": 4,
        "windows": [
          {
            "left": 0.0,
            "right": 1024.0,
            "gain": {
              "actual_gain": 0.0006901136864581048,
              "signed_error": 4.980860168757317e-11,
              "absolute_error": 4.980860168757317e-11,
              "raw_relative": 7.21744875735006e-08,
              "numerator_budget": 2e-08,
              "numerator": 2.0049808601687574e-08,
              "denominator": 0.0006900936864581048,
              "budgeted_relative": 2.905374878097046e-05,
              "tolerance": 0.05,
              "status": "pass"
            },
            "b": {
              "actual_movement": 0.00010276717674595481,
              "signed_error": 1.6706074301708895e-09,
              "absolute_error": 1.6706074301708895e-09,
              "resolution": 0.0001,
              "relative": 1.6256235532291677e-05,
              "tolerance": 0.05,
              "status": "pass",
              "numerical_budget_added": false
            }
          }
        ]
      }
    ],
    "common_floor": [
      2.129327063311184,
      2.129590128457905
    ],
    "stock": [
      {
        "substeps": 1,
        "endpoints": [
          {
            "time": 0,
            "b": 1.1873405691507009,
            "F": [
              2.1351694308644675,
              2.1351694508644683
            ],
            "U": [
              2.1344809021763123,
              2.13448091181311
            ],
            "B": [
              0.004890773718407181,
              0.005153848501926018
            ],
            "O": [
              0.0006885190513576943,
              0.0006885486881560433
            ],
            "share": [
              0.8765891916649103,
              0.8821506786284425
            ]
          },
          {
            "time": 4096,
            "b": 1.1877628910956706,
            "F": [
              2.134474409262531,
              2.1344744292625317
            ],
            "U": [
              2.1344744192572116,
              2.1344744192635314
            ],
            "B": [
              0.004884290799306522,
              0.005147355952347611
            ],
            "O": [
              0.0,
              1.0005320127959296e-08
            ],
            "share": [
              0.9999979515348195,
              1.0
            ]
          },
          {
            "time": 8192,
            "b": 1.1881885216024601,
            "F": [
              2.1344678833272046,
              2.1344679033272054
            ],
            "U": [
              2.1344678933220216,
              2.134467893328205
            ],
            "B": [
              0.004877764864116506,
              0.005140830017021259
            ],
            "O": [
              0.0,
              1.0005183792571872e-08
            ],
            "share": [
              0.9999979488221449,
              1.0
            ]
          },
          {
            "time": 16384,
            "b": 1.1890382147474965,
            "F": [
              2.1344548794886666,
              2.1344548994886674
            ],
            "U": [
              2.134454889483512,
              2.134454889489667
            ],
            "B": [
              0.004864761025606955,
              0.005127826178483287
            ],
            "O": [
              0.0,
              1.0005155370862441e-08
            ],
            "share": [
              0.99999794334506,
              1.0
            ]
          }
        ],
        "windows": [
          {
            "left": 0,
            "right": 16384,
            "G": [
              0.0007145313758001314,
              0.0007145713758016649
            ],
            "deltaB": [
              2.6012686645149327e-05,
              2.602232959780793e-05
            ],
            "deltaO": [
              0.0006885090462023233,
              0.0006885586891565156
            ],
            "Sb": [
              2.592520115130808e-05,
              2.594520115130809e-05
            ],
            "Sw": [
              0.0006886061746493982,
              0.0006886261746493985
            ],
            "E": [
              -9.712844649984808e-08,
              -6.748549384123625e-08
            ],
            "fractions": {
              "Sb": [
                0.03628077198337683,
                0.03631079338154282
              ],
              "Sw": [
                0.9636632504021913,
                0.9637451873660212
              ],
              "deltaB": [
                0.036403202711508216,
                0.03641873608232831
              ],
              "deltaO": [
                0.963527324936431,
                0.9636507401588468
              ],
              "E": [
                -0.0001359330741649851,
                -9.444192158624528e-05
              ]
            },
            "absolute_E_over_G_upper": 0.0001359330741649851,
            "document_witness": {
              "columns": [
                "G",
                "deltaU_witness",
                "deltaO_witness",
                "Sb",
                "Sw",
                "E_witness",
                "bridge_identity_residual"
              ],
              "mean": [
                0.0007145513758007715,
                2.6022323442374123e-05,
                0.0006885290523583974,
                2.5935201151308082e-05,
                0.0006886161746493983,
                -8.712229106603826e-08,
                -6.509103430769986e-17
              ],
              "sample_sd": [
                0.0021137570470761385,
                1.8547669061970943e-05,
                0.0021089662754493403,
                1.9939404914529644e-05,
                0.0021219536568822645,
                1.4109524034076147e-05,
                5.571790115562757e-16
              ],
              "RMS": [
                0.0022234312483300303,
                3.1913785732126014e-05,
                0.0022106702711920125,
                3.2666625696311686e-05,
                0.0022229939975721928,
                1.4054570668091058e-05,
                5.588022146907354e-16
              ],
              "negative_fraction": [
                0.359375,
                0.078125,
                0.359375,
                0.078125,
                0.359375,
                0.4921875,
                0.5
              ],
              "covariance": [
                [
                  4.467968854064037e-06,
                  1.0287059554502387e-08,
                  4.457681794509532e-06,
                  -1.7160444011758573e-08,
                  4.485129298075849e-06,
                  -2.7447503566260956e-08,
                  5.544935998648638e-20
                ],
                [
                  1.0287059554502387e-08,
                  3.4401602763239414e-10,
                  9.943043526869997e-09,
                  2.712586137548954e-10,
                  1.0015800940747262e-08,
                  -7.275741387749888e-11,
                  -2.2570056815756233e-22
                ],
                [
                  4.457681794509532e-06,
                  9.943043526869997e-09,
                  4.447738750982663e-06,
                  -1.7431702625513468e-08,
                  4.475113497135106e-06,
                  -2.737474615238346e-08,
                  5.567506055464387e-20
                ],
                [
                  -1.7160444011758573e-08,
                  2.712586137548954e-10,
                  -1.7431702625513468e-08,
                  3.9757986834556896e-10,
                  -1.755802388010511e-08,
                  1.2632125459067362e-10,
                  -9.622485248456497e-22
                ],
                [
                  4.485129298075849e-06,
                  1.0015800940747262e-08,
                  4.475113497135106e-06,
                  -1.755802388010511e-08,
                  4.502687321956016e-06,
                  -2.7573824820852376e-08,
                  5.64116085116424e-20
                ],
                [
                  -2.7447503566260956e-08,
                  -7.275741387749888e-11,
                  -2.737474615238346e-08,
                  1.2632125459067362e-10,
                  -2.7573824820852376e-08,
                  1.990786684681724e-10,
                  -7.36547956688087e-22
                ],
                [
                  5.544935998648638e-20,
                  -2.2570056815756233e-22,
                  5.567506055464387e-20,
                  -9.622485248456497e-22,
                  5.64116085116424e-20,
                  -7.36547956688087e-22,
                  3.104484509188285e-31
                ]
              ],
              "scope": "Fixed128 document witnesses at one shared feasible profile optimizer; no per-document optimum or precision certificate"
            }
          },
          {
            "left": 4096,
            "right": 8192,
            "G": [
              6.505935325584743e-06,
              6.545935327118003e-06
            ],
            "deltaB": [
              6.525929006517827e-06,
              6.525941509849532e-06
            ],
            "deltaO": [
              -2.000618426478865e-08,
              2.0006320600176074e-08
            ],
            "Sb": [
              6.5157745138756454e-06,
              6.535774513875647e-06
            ],
            "Sw": [
              -9.839187297593235e-09,
              1.0160812702406769e-08
            ],
            "E": [
              -1.0166995973886452e-08,
              9.845507357820076e-09
            ],
            "fractions": {
              "Sb": [
                0.9953924364150971,
                1.004586456335273
              ],
              "Sw": [
                -0.0015123401640499564,
                0.0015617758544953769
              ],
              "deltaB": [
                0.996943703290606,
                1.003075066575918
              ],
              "deltaO": [
                -0.003075066575917818,
                0.003075087531457737
              ],
              "E": [
                -0.0015627262591905123,
                0.0015133115939690316
              ]
            },
            "absolute_E_over_G_upper": 0.0015627262591905123,
            "document_witness": {
              "columns": [
                "G",
                "deltaU_witness",
                "deltaO_witness",
                "Sb",
                "Sw",
                "E_witness",
                "bridge_identity_residual"
              ],
              "mean": [
                6.525935326507498e-06,
                6.525935326507498e-06,
                0.0,
                6.5257745138756445e-06,
                1.6081270240678944e-10,
                -1.6081263185193323e-10,
                7.055493065917792e-17
              ],
              "sample_sd": [
                4.375270111193211e-06,
                4.375270111193211e-06,
                0.0,
                5.000709279467061e-06,
                3.0057759983760984e-06,
                3.00577599841261e-06,
                6.210283996991854e-16
              ],
              "RMS": [
                7.847373180475382e-06,
                7.847373180475382e-06,
                0.0,
                8.209595506924092e-06,
                2.9940116679313103e-06,
                2.994011667967675e-06,
                6.226083645347372e-16
              ],
              "negative_fraction": [
                0.0625,
                0.0625,
                0.0,
                0.078125,
                0.4921875,
                0.5078125,
                0.484375
              ],
              "covariance": [
                [
                  1.914298854590065e-11,
                  1.914298854590065e-11,
                  0.0,
                  1.7557696245507655e-11,
                  1.585292300249286e-12,
                  -1.5852923003930038e-12,
                  -1.437174653453376e-22
                ],
                [
                  1.914298854590065e-11,
                  1.914298854590065e-11,
                  0.0,
                  1.7557696245507655e-11,
                  1.585292300249286e-12,
                  -1.5852923003930038e-12,
                  -1.437174653453376e-22
                ],
                [
                  0.0,
                  0.0,
                  0.0,
                  0.0,
                  0.0,
                  0.0,
                  0.0
                ],
                [
                  1.7557696245507655e-11,
                  1.7557696245507655e-11,
                  0.0,
                  2.5007093297747973e-11,
                  -7.449397052274296e-12,
                  7.44939705224032e-12,
                  -3.3971463637711636e-23
                ],
                [
                  1.585292300249286e-12,
                  1.585292300249286e-12,
                  0.0,
                  -7.449397052274296e-12,
                  9.034689352413832e-12,
                  -9.034689352523577e-12,
                  -1.0974600132194975e-22
                ],
                [
                  -1.5852923003930038e-12,
                  -1.5852923003930038e-12,
                  0.0,
                  7.44939705224032e-12,
                  -9.034689352523577e-12,
                  9.03468935263332e-12,
                  1.0974600170762597e-22
                ],
                [
                  -1.437174653453376e-22,
                  -1.437174653453376e-22,
                  0.0,
                  -3.3971463637711636e-23,
                  -1.0974600132194975e-22,
                  1.0974600170762597e-22,
                  3.8567627323293118e-31
                ]
              ],
              "scope": "Fixed128 document witnesses at one shared feasible profile optimizer; no per-document optimum or precision certificate"
            }
          },
          {
            "left": 8192,
            "right": 16384,
            "G": [
              1.2983838537206081e-05,
              1.3023838538739342e-05
            ],
            "deltaB": [
              1.3003832354474552e-05,
              1.3003844693049162e-05
            ],
            "deltaO": [
              -2.0006155843080914e-08,
              2.0006184264790344e-08
            ],
            "Sb": [
              1.2993519211690454e-05,
              1.3013519211690458e-05
            ],
            "Sw": [
              -9.68067420366479e-09,
              1.0319325796335214e-08
            ],
            "E": [
              -1.0325481358707582e-08,
              9.68685721590548e-09
            ],
            "fractions": {
              "Sb": [
                0.9976720129815257,
                1.0022859707011396
              ],
              "Sw": [
                -0.0007455941612277567,
                0.0007947823570637048
              ],
              "deltaB": [
                0.9984638795847105,
                1.0015408506340984
              ],
              "deltaO": [
                -0.0015408506340980675,
                0.0015408528231047585
              ],
              "E": [
                -0.0007952564512504686,
                0.0007460703695711501
              ]
            },
            "absolute_E_over_G_upper": 0.0007952564512504686,
            "document_witness": {
              "columns": [
                "G",
                "deltaU_witness",
                "deltaO_witness",
                "Sb",
                "Sw",
                "E_witness",
                "bridge_identity_residual"
              ],
              "mean": [
                1.3003838537570256e-05,
                1.3003838537570256e-05,
                0.0,
                1.3003519211690458e-05,
                3.193257963351687e-10,
                -3.1932587979928403e-10,
                -8.346414528739625e-17
              ],
              "sample_sd": [
                8.727686145720053e-06,
                8.727686145720053e-06,
                0.0,
                9.975432208116553e-06,
                5.994330131314496e-06,
                5.994330131217355e-06,
                5.95284793251417e-16
              ],
              "RMS": [
                1.564216175822571e-05,
                1.564216175822571e-05,
                0.0,
                1.6365309151665093e-05,
                5.97086887514635e-06,
                5.9708688750495935e-06,
                5.988002838939948e-16
              ],
              "negative_fraction": [
                0.0625,
                0.0625,
                0.0,
                0.078125,
                0.4921875,
                0.5078125,
                0.5546875
              ],
              "covariance": [
                [
                  7.617250545819374e-11,
                  7.617250545819374e-11,
                  0.0,
                  6.987487973745128e-11,
                  6.297625720616049e-12,
                  -6.2976257207424405e-12,
                  -1.2638996156242014e-22
                ],
                [
                  7.617250545819374e-11,
                  7.617250545819374e-11,
                  0.0,
                  6.987487973745128e-11,
                  6.297625720616049e-12,
                  -6.2976257207424405e-12,
                  -1.2638996156242014e-22
                ],
                [
                  0.0,
                  0.0,
                  0.0,
                  0.0,
                  0.0,
                  0.0,
                  0.0
                ],
                [
                  6.987487973745128e-11,
                  6.987487973745128e-11,
                  0.0,
                  9.950924773872909e-11,
                  -2.963436800198651e-11,
                  2.963436800127782e-11,
                  -7.086912692393719e-22
                ],
                [
                  6.297625720616049e-12,
                  6.297625720616049e-12,
                  0.0,
                  -2.963436800198651e-11,
                  3.593199372318486e-11,
                  -3.593199372260256e-11,
                  5.823013080313157e-22
                ],
                [
                  -6.2976257207424405e-12,
                  -6.2976257207424405e-12,
                  0.0,
                  2.963436800127782e-11,
                  -3.593199372260256e-11,
                  3.593199372202027e-11,
                  -5.823013076769515e-22
                ],
                [
                  -1.2638996156242014e-22,
                  -1.2638996156242014e-22,
                  0.0,
                  -7.086912692393719e-22,
                  5.823013080313157e-22,
                  -5.823013076769515e-22,
                  3.543639850763823e-31
                ]
              ],
              "scope": "Fixed128 document witnesses at one shared feasible profile optimizer; no per-document optimum or precision certificate"
            }
          }
        ]
      },
      {
        "substeps": 2,
        "endpoints": [
          {
            "time": 0,
            "b": 1.1873405691507009,
            "F": [
              2.1351694308644675,
              2.1351694508644683
            ],
            "U": [
              2.1344809021429034,
              2.1344809121085615
            ],
            "B": [
              0.00489077368499835,
              0.005153848797377681
            ],
            "O": [
              0.0006885187559060312,
              0.0006885487215648746
            ],
            "share": [
              0.8765891856769374,
              0.8821507291989793
            ]
          },
          {
            "time": 4096,
            "b": 1.1877629047967875,
            "F": [
              2.134474409052739,
              2.13447442905274
            ],
            "U": [
              2.134474419046937,
              2.1344744190537397
            ],
            "B": [
              0.004884290589032058,
              0.005147355742555871
            ],
            "O": [
              0.0,
              1.0005802852930403e-08
            ],
            "share": [
              0.9999979514358995,
              1.0
            ]
          },
          {
            "time": 8192,
            "b": 1.1881885505398746,
            "F": [
              2.134467882884323,
              2.1344679028843236
            ],
            "U": [
              2.1344678928785386,
              2.1344678928853233
            ],
            "B": [
              0.004877764420633478,
              0.005140829574139528
            ],
            "O": [
              0.0,
              1.0005785089362009e-08
            ],
            "share": [
              0.9999979486986859,
              1.0
            ]
          },
          {
            "time": 16384,
            "b": 1.1890382739721477,
            "F": [
              2.1344548785839175,
              2.1344548985839182
            ],
            "U": [
              2.1344548885781656,
              2.134454888584918
            ],
            "B": [
              0.004864760120260491,
              0.005127825273734122
            ],
            "O": [
              0.0,
              1.000575267084969e-08
            ],
            "share": [
              0.9999979432218968,
              1.0
            ]
          }
        ],
        "windows": [
          {
            "left": 0,
            "right": 16384,
            "G": [
              0.0007145322805492959,
              0.0007145722805508293
            ],
            "deltaB": [
              2.6013557985482546e-05,
              2.6023530395935527e-05
            ],
            "deltaO": [
              0.0006885087501533602,
              0.0006885587225653469
            ],
            "Sb": [
              2.5941187626117992e-05,
              2.5961187626118002e-05
            ],
            "Sw": [
              0.000688591092923737,
              0.0006886110929237373
            ],
            "E": [
              -8.234276981753469e-08,
              -5.2370359364543774e-08
            ],
            "fractions": {
              "Sb": [
                0.03630309813602226,
                0.03633312074600797
              ],
              "Sw": [
                0.9636409243203994,
                0.9637228599306505
              ],
              "deltaB": [
                0.03640437600718285,
                0.03642037050576634
              ],
              "deltaO": [
                0.9635256906727783,
                0.9636495667291872
              ],
              "E": [
                -0.00011524009769612338,
                -7.328910005321502e-05
              ]
            },
            "absolute_E_over_G_upper": 0.00011524009769612338,
            "document_witness": {
              "columns": [
                "G",
                "deltaU_witness",
                "deltaO_witness",
                "Sb",
                "Sw",
                "E_witness",
                "bridge_identity_residual"
              ],
              "mean": [
                0.0007145522805498267,
                2.6023523643250307e-05,
                0.0006885287569065764,
                2.5951187626118014e-05,
                0.0006886010929237369,
                -7.23360171323075e-08,
                2.844047454537792e-17
              ],
              "sample_sd": [
                0.0021137460621318,
                1.8617583369503693e-05,
                0.002108786750740643,
                1.9940308225035493e-05,
                0.002121942173979042,
                1.4171516781650576e-05,
                5.19634184459339e-16
              ],
              "RMS": [
                0.0022234211775882845,
                3.1955128981887055e-05,
                0.002210500252374634,
                3.267986623531824e-05,
                0.0022229784503914013,
                1.4116236087138015e-05,
                5.183811507538441e-16
              ],
              "negative_fraction": [
                0.359375,
                0.0859375,
                0.359375,
                0.078125,
                0.359375,
                0.4921875,
                0.5234375
              ],
              "covariance": [
                [
                  4.46792241517769e-06,
                  1.0643734744465061e-08,
                  4.457278680433227e-06,
                  -1.715927932037618e-08,
                  4.485081694498237e-06,
                  -2.7803014064841248e-08,
                  1.74469676327205e-19
                ],
                [
                  1.0643734744465061e-08,
                  3.466144105204205e-10,
                  1.0297120333944645e-08,
                  2.716992073686175e-10,
                  1.0372035537097262e-08,
                  -7.491520315180313e-11,
                  8.205822958278779e-22
                ],
                [
                  4.457278680433227e-06,
                  1.0297120333944645e-08,
                  4.446981560099278e-06,
                  -1.7430978527744796e-08,
                  4.474709658961141e-06,
                  -2.7728098861689463e-08,
                  1.7364909403137718e-19
                ],
                [
                  -1.715927932037618e-08,
                  2.716992073686175e-10,
                  -1.7430978527744796e-08,
                  3.976158921094181e-10,
                  -1.75568952124862e-08,
                  1.2591668474080074e-10,
                  -5.854459126495723e-22
                ],
                [
                  4.485081694498237e-06,
                  1.0372035537097262e-08,
                  4.474709658961141e-06,
                  -1.75568952124862e-08,
                  4.502638589710904e-06,
                  -2.7928930749583453e-08,
                  1.7505512224012456e-19
                ],
                [
                  -2.7803014064841248e-08,
                  -7.491520315180313e-11,
                  -2.7728098861689463e-08,
                  1.2591668474080074e-10,
                  -2.7928930749583453e-08,
                  2.0083188789260388e-10,
                  -1.4060282084774502e-21
                ],
                [
                  1.74469676327205e-19,
                  8.205822958278779e-22,
                  1.7364909403137718e-19,
                  -5.854459126495723e-22,
                  1.7505512224012456e-19,
                  -1.4060282084774502e-21,
                  2.7001968565872232e-31
                ]
              ],
              "scope": "Fixed128 document witnesses at one shared feasible profile optimizer; no per-document optimum or precision certificate"
            }
          },
          {
            "left": 4096,
            "right": 8192,
            "G": [
              6.506168415576496e-06,
              6.546168417109755e-06
            ],
            "deltaB": [
              6.526161613784608e-06,
              6.5261752011380744e-06
            ],
            "deltaO": [
              -2.0006785561578787e-08,
              2.000680332514718e-08
            ],
            "Sb": [
              6.515990900446464e-06,
              6.535990900446465e-06
            ],
            "Sw": [
              -9.822484098351345e-09,
              1.0177515901648658e-08
            ],
            "E": [
              -1.0184300691610592e-08,
              9.82928666185718e-09
            ],
            "fractions": {
              "Sb": [
                0.995390048843776,
                1.004583724700174
              ],
              "Sw": [
                -0.0015097186963121366,
                0.0015642871889517257
              ],
              "deltaB": [
                0.9969437383748245,
                1.0030750488280755
              ],
              "deltaO": [
                -0.0030750488280752624,
                0.0030750515583409517
              ],
              "E": [
                -0.001565330013165389,
                0.0015107642523247275
              ]
            },
            "absolute_E_over_G_upper": 0.001565330013165389,
            "document_witness": {
              "columns": [
                "G",
                "deltaU_witness",
                "deltaO_witness",
                "Sb",
                "Sw",
                "E_witness",
                "bridge_identity_residual"
              ],
              "mean": [
                6.526168416275471e-06,
                6.526168416275471e-06,
                0.0,
                6.525990900446463e-06,
                1.7751590164872198e-10,
                -1.7751582900737567e-10,
                7.264132811142527e-17
              ],
              "sample_sd": [
                4.375243590434665e-06,
                4.375243590434665e-06,
                0.0,
                5.000888183129158e-06,
                3.0054621836110534e-06,
                3.005462183584022e-06,
                6.449454352372445e-16
              ],
              "RMS": [
                7.847552350144928e-06,
                7.847552350144928e-06,
                0.0,
                8.2098756359278e-06,
                2.9936990823530997e-06,
                2.9936990823261704e-06,
                6.465150667678903e-16
              ],
              "negative_fraction": [
                0.0625,
                0.0625,
                0.0,
                0.078125,
                0.4921875,
                0.5078125,
                0.4140625
              ],
              "covariance": [
                [
                  1.9142756475639618e-11,
                  1.9142756475639618e-11,
                  0.0,
                  1.7559418079423416e-11,
                  1.5833383962207201e-12,
                  -1.5833383962162e-12,
                  4.5192766207393864e-24
                ],
                [
                  1.9142756475639618e-11,
                  1.9142756475639618e-11,
                  0.0,
                  1.7559418079423416e-11,
                  1.5833383962207201e-12,
                  -1.5833383962162e-12,
                  4.5192766207393864e-24
                ],
                [
                  0.0,
                  0.0,
                  0.0,
                  0.0,
                  0.0,
                  0.0,
                  0.0
                ],
                [
                  1.7559418079423416e-11,
                  1.7559418079423416e-11,
                  0.0,
                  2.5008882620160848e-11,
                  -7.449464540814155e-12,
                  7.44946454073744e-12,
                  -7.672156123509722e-23
                ],
                [
                  1.5833383962207201e-12,
                  1.5833383962207201e-12,
                  0.0,
                  -7.449464540814155e-12,
                  9.03280293711612e-12,
                  -9.032802937034872e-12,
                  8.124083827179116e-23
                ],
                [
                  -1.5833383962162e-12,
                  -1.5833383962162e-12,
                  0.0,
                  7.44946454073744e-12,
                  -9.032802937034872e-12,
                  9.032802936953639e-12,
                  -8.124083785583643e-23
                ],
                [
                  4.5192766207393864e-24,
                  4.5192766207393864e-24,
                  0.0,
                  -7.672156123509722e-23,
                  8.124083827179116e-23,
                  -8.124083785583643e-23,
                  4.159546144333586e-31
                ]
              ],
              "scope": "Fixed128 document witnesses at one shared feasible profile optimizer; no per-document optimum or precision certificate"
            }
          },
          {
            "left": 8192,
            "right": 16384,
            "G": [
              1.2984300404639269e-05,
              1.302430040617253e-05
            ],
            "deltaB": [
              1.300429362061095e-05,
              1.3004307157782337e-05
            ],
            "deltaO": [
              -2.0006753143068162e-08,
              2.000678556158048e-08
            ],
            "Sb": [
              1.2993947201935097e-05,
              1.30139472019351e-05
            ],
            "Sw": [
              -9.64679700768745e-09,
              1.0353202992312554e-08
            ],
            "E": [
              -1.0359955847240092e-08,
              9.653581324150356e-09
            ],
            "fractions": {
              "Sb": [
                0.9976694944610576,
                1.0022832802978927
              ],
              "Sw": [
                -0.0007429585504846041,
                0.0007973631747316454
              ],
              "deltaB": [
                0.9984638878912759,
                1.0015408418258656
              ],
              "deltaO": [
                -0.0015408418258653184,
                0.0015408443226122596
              ],
              "E": [
                -0.0007978832531892513,
                0.000743481051986532
              ]
            },
            "absolute_E_over_G_upper": 0.0007978832531892513,
            "document_witness": {
              "columns": [
                "G",
                "deltaU_witness",
                "deltaO_witness",
                "Sb",
                "Sw",
                "E_witness",
                "bridge_identity_residual"
              ],
              "mean": [
                1.3004300404927116e-05,
                1.3004300404927116e-05,
                0.0,
                1.30039472019351e-05,
                3.5320299231252533e-10,
                -3.5320299201736144e-10,
                2.9517195696403495e-19
              ],
              "sample_sd": [
                8.728008424691156e-06,
                8.728008424691156e-06,
                0.0,
                9.975787292185534e-06,
                5.994592303348855e-06,
                5.994592303225228e-06,
                6.262187338774811e-16
              ],
              "RMS": [
                1.564272413725146e-05,
                1.564272413725146e-05,
                0.0,
                1.636586397307283e-05,
                5.971130022970558e-06,
                5.971130022847415e-06,
                6.237678403629634e-16
              ],
              "negative_fraction": [
                0.0625,
                0.0625,
                0.0,
                0.078125,
                0.4921875,
                0.5078125,
                0.5390625
              ],
              "covariance": [
                [
                  7.61781310614798e-11,
                  7.61781310614798e-11,
                  0.0,
                  6.98796631392615e-11,
                  6.298467922597344e-12,
                  -6.298467922218248e-12,
                  3.790929838817252e-22
                ],
                [
                  7.61781310614798e-11,
                  7.61781310614798e-11,
                  0.0,
                  6.98796631392615e-11,
                  6.298467922597344e-12,
                  -6.298467922218248e-12,
                  3.790929838817252e-22
                ],
                [
                  0.0,
                  0.0,
                  0.0,
                  0.0,
                  0.0,
                  0.0,
                  0.0
                ],
                [
                  6.98796631392615e-11,
                  6.98796631392615e-11,
                  0.0,
                  9.951633209893039e-11,
                  -2.96366689600309e-11,
                  2.9636668959668906e-11,
                  -3.62002668935777e-22
                ],
                [
                  6.298467922597344e-12,
                  6.298467922597344e-12,
                  0.0,
                  -2.96366689600309e-11,
                  3.593513688336933e-11,
                  -3.593513688262826e-11,
                  7.410956532096523e-22
                ],
                [
                  -6.298467922218248e-12,
                  -6.298467922218248e-12,
                  0.0,
                  2.9636668959668906e-11,
                  -3.593513688262826e-11,
                  3.593513688188714e-11,
                  -7.410956528175021e-22
                ],
                [
                  3.790929838817252e-22,
                  3.790929838817252e-22,
                  0.0,
                  -3.62002668935777e-22,
                  7.410956532096523e-22,
                  -7.410956528175021e-22,
                  3.921499026591155e-31
                ]
              ],
              "scope": "Fixed128 document witnesses at one shared feasible profile optimizer; no per-document optimum or precision certificate"
            }
          }
        ]
      }
    ],
    "independent_stock_checks": {
      "passed": 997,
      "total": 997,
      "all_passed": true
    },
    "original_solver_residual_qualification": false,
    "original_fresh_qualified": false,
    "original_joint_qualified": false,
    "GF_qualified": false,
    "source_intervals_certified": false,
    "natural_long_term_dominance": "unidentified",
    "scope": "Finite constrained trajectory and separately registered convex value bounds; fixed training pool, shared cache, no whole-network or continuous-flow qualification"
  },
  "same_state_missing_terms": {
    "states": [
      {
        "time": 0.0,
        "statistics": {
          "columns": [
            "mixed_CE",
            "hidden_CE",
            "CE_interaction",
            "mixed_Shapley",
            "hidden_Shapley",
            "task_linear",
            "positive_KL",
            "J_CE_same_error",
            "J_CE_path_remainder",
            "J_CE_actual_minus_prediction",
            "Q_CE_same_error",
            "Q_CE_path_remainder",
            "Q_CE_actual_minus_prediction",
            "Fb_actual",
            "Fb_J_same",
            "Fb_Q_same",
            "force_output",
            "force_mixed",
            "force_hidden",
            "J_Fb_same_error",
            "J_Fb_path_remainder",
            "J_Fb_actual_minus_prediction",
            "Q_Fb_same_error",
            "Q_Fb_path_remainder",
            "Q_Fb_actual_minus_prediction"
          ],
          "mean": [
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            -0.009250790501604739,
            -0.009250790501604739,
            -0.009250790501604739,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0
          ],
          "doc_SD": [
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.011674376327084401,
            0.011674376327084401,
            0.011674376327084401,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0
          ],
          "doc_RMS": [
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.014859455360281559,
            0.014859455360281559,
            0.014859455360281559,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0
          ],
          "positive_doc_gross": [
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0012526894496234864,
            0.0012526894496234864,
            0.0012526894496234864,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0
          ],
          "negative_doc_gross": [
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.010503479951228224,
            0.010503479951228224,
            0.010503479951228224,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0
          ],
          "negative_doc_fraction": [
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.78125,
            0.78125,
            0.78125,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0,
            0.0
          ],
          "doc_covariance": [
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.00013629106262638864,
              0.00013629106262638864,
              0.00013629106262638864,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.00013629106262638864,
              0.00013629106262638864,
              0.00013629106262638864,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.00013629106262638864,
              0.00013629106262638864,
              0.00013629106262638864,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ],
            [
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0,
              0.0
            ]
          ]
        },
        "local_native_velocity_error": {
          "J": -0.0,
          "Q": -0.0
        }
      },
      {
        "time": 4096.0,
        "statistics": {
          "columns": [
            "mixed_CE",
            "hidden_CE",
            "CE_interaction",
            "mixed_Shapley",
            "hidden_Shapley",
            "task_linear",
            "positive_KL",
            "J_CE_same_error",
            "J_CE_path_remainder",
            "J_CE_actual_minus_prediction",
            "Q_CE_same_error",
            "Q_CE_path_remainder",
            "Q_CE_actual_minus_prediction",
            "Fb_actual",
            "Fb_J_same",
            "Fb_Q_same",
            "force_output",
            "force_mixed",
            "force_hidden",
            "J_Fb_same_error",
            "J_Fb_path_remainder",
            "J_Fb_actual_minus_prediction",
            "Q_Fb_same_error",
            "Q_Fb_path_remainder",
            "Q_Fb_actual_minus_prediction"
          ],
          "mean": [
            -1.6160591000612112e-06,
            3.5758527512109976e-09,
            5.215026156775332e-15,
            -1.6160590974536986e-06,
            3.575855358724077e-09,
            -1.6124846724828252e-06,
            1.4303878508638085e-12,
            -1.6124832420949744e-06,
            -1.1813000025076413e-06,
            -2.7937832446026153e-06,
            4.0774851470417815e-10,
            4.536514870149545e-10,
            8.61400001719133e-10,
            -0.0153414496050691,
            -0.01153170351984061,
            -0.015343376895619997,
            -7.543070496848503e-08,
            -0.003826601220457332,
            1.6930565933822692e-05,
            -0.0038097460852284785,
            2.343133947764536e-06,
            -0.0038074029512807153,
            1.9272905508978075e-06,
            3.368219359443635e-10,
            1.9276273728337525e-06
          ],
          "doc_SD": [
            2.676277506225479e-07,
            1.5580896984794204e-09,
            4.252072754040923e-15,
            2.6762774983236256e-07,
            1.5580895449725917e-09,
            2.676082684265266e-07,
            4.255585699301348e-13,
            2.67608024251313e-07,
            2.0971936094420763e-06,
            2.1581084325012582e-06,
            7.621735078586647e-11,
            7.21959833384546e-10,
            7.51565815197393e-10,
            0.011751918695363966,
            0.0117843639028609,
            0.011751929111323226,
            3.858747325002979e-08,
            0.0006337049477632758,
            7.377485632745449e-06,
            0.0006336486358681851,
            4.4932063114745585e-07,
            0.0006333216091989245,
            3.6095653864282115e-07,
            5.683304648077729e-10,
            3.612082501227635e-07
          ],
          "doc_RMS": [
            1.6378986722339175e-06,
            3.898127812417231e-09,
            6.718286207275637e-15,
            1.6378986695330674e-06,
            3.898130143478476e-09,
            1.6343688440799998e-06,
            1.4918762200116743e-12,
            1.6343673931766103e-06,
            2.3998603354298577e-06,
            3.5250915784848904e-06,
            4.147560154249096e-10,
            8.50266778463411e-10,
            1.1412485433654187e-09,
            0.019297375558267802,
            0.016454983657236084,
            0.019298914086432573,
            8.465903132764124e-08,
            0.003878314260365746,
            1.84566016336829e-05,
            0.0038616756759388476,
            2.385495434641997e-06,
            0.0038593108101787886,
            1.960540895439558e-06,
            6.587299143302811e-10,
            1.9609179943696117e-06
          ],
          "positive_doc_gross": [
            0.0,
            3.578484190788246e-09,
            5.244016943600572e-15,
            0.0,
            3.5784867596366995e-09,
            0.0,
            1.4303878508638085e-12,
            0.0,
            3.72442518827121e-07,
            6.643538785460787e-08,
            4.0774851470417815e-10,
            5.671187913088849e-10,
            9.07872861349802e-10,
            0.00039521049316581613,
            0.0008612693327073116,
            0.0003950594855183972,
            0.0,
            0.0,
            1.694304752582565e-05,
            0.0,
            2.343133947764536e-06,
            0.0,
            1.9272905508978075e-06,
            4.352412152729572e-10,
            1.9276273728337525e-06
          ],
          "negative_doc_gross": [
            1.6160591000612112e-06,
            2.6314395772484543e-12,
            2.899078682524019e-17,
            1.6160590974536986e-06,
            2.631400912622047e-12,
            1.6124846724828252e-06,
            0.0,
            1.6124832420949744e-06,
            1.553742521334763e-06,
            2.860218632457223e-06,
            0.0,
            1.1346730429393032e-10,
            4.64728596306691e-11,
            0.015736660098234916,
            0.012392972852547923,
            0.015738436381138393,
            7.543070496848503e-08,
            0.003826601220457332,
            1.2481592002955713e-08,
            0.0038097460852284785,
            0.0,
            0.0038074029512807153,
            0.0,
            9.841927932859361e-11,
            0.0
          ],
          "negative_doc_fraction": [
            1.0,
            0.015625,
            0.0390625,
            1.0,
            0.015625,
            1.0,
            0.0,
            1.0,
            0.671875,
            0.9140625,
            0.0,
            0.2734375,
            0.109375,
            0.921875,
            0.859375,
            0.921875,
            1.0,
            1.0,
            0.015625,
            1.0,
            0.0,
            1.0,
            0.0,
            0.3125,
            0.0
          ],
          "doc_covariance": [
            [
              7.162461290328469e-14,
              -6.492528121503029e-18,
              -4.2295107535699636e-22,
              7.162461269180912e-14,
              -6.492739597040687e-18,
              7.161818541252965e-14,
              -6.546031753740588e-20,
              7.161811995221212e-14,
              9.467611790518812e-14,
              1.6629423785740022e-13,
              -1.8768475909457552e-17,
              -5.4425965702128684e-17,
              -7.319444161158627e-17,
              -4.89444697496165e-11,
              -2.185149247485217e-10,
              -4.885560317585813e-11,
              4.157329080953394e-15,
              1.695970297281212e-10,
              -3.073205829703659e-14,
              1.6957045499890507e-10,
              -8.774004088655817e-14,
              1.6948271495801845e-10,
              -8.886657375831835e-14,
              -6.636913508310345e-17,
              -8.893294289340147e-14
            ],
            [
              -6.492528121503029e-18,
              2.427643508507691e-18,
              -4.783593143149885e-25,
              -6.492528360682674e-18,
              2.4276432693280353e-18,
              -4.065002222023034e-18,
              1.1713066835886634e-22,
              -4.0648850913546344e-18,
              -8.776573425068095e-16,
              -8.817222275981635e-16,
              2.5618373334318246e-21,
              3.8072681473937204e-19,
              3.832886520728038e-19,
              -1.376136550856825e-11,
              -1.3757492667968361e-11,
              -1.3761375777330634e-11,
              5.507197159395084e-18,
              -1.537313202843867e-14,
              1.1494784231395602e-14,
              -3.872840599882771e-15,
              1.0560246735723484e-16,
              -3.767238132525581e-15,
              1.02687623862149e-17,
              -7.619347910560552e-19,
              9.50682759515885e-18
            ],
            [
              -4.2295107535699636e-22,
              -4.783593143149885e-25,
              1.8080122705657156e-29,
              -4.229510663169352e-22,
              -4.783502742536358e-25,
              -4.2343055572758594e-22,
              1.1391363970328298e-27,
              -4.234294165911889e-22,
              -2.4103497862709036e-21,
              -2.833779202862091e-21,
              1.370921315912712e-25,
              9.867495501262151e-25,
              1.1238416817174859e-24,
              -3.1411002412568493e-18,
              -2.1371980116333717e-18,
              -3.141751162013155e-18,
              -1.5159179019100365e-22,
              -1.0014869971292963e-18,
              -2.2636407039838737e-21,
              -1.0039022296234815e-18,
              1.209160626886672e-21,
              -1.0026930689965932e-18,
              6.509207563030607e-22,
              4.276903590827701e-25,
              6.513484466621437e-22
            ],
            [
              7.162461269180912e-14,
              -6.492528360682674e-18,
              -4.229510663169352e-22,
              7.162461248033364e-14,
              -6.4927398362158136e-18,
              7.161818520081437e-14,
              -6.546031696783764e-20,
              7.161811974049735e-14,
              9.467611670001323e-14,
              1.6629423644051064e-13,
              -1.8768475840911496e-17,
              -5.4425965208753935e-17,
              -7.319444104966536e-17,
              -4.894447132016662e-11,
              -2.185149258171207e-10,
              -4.8855604746733713e-11,
              4.157329005157502e-15,
              1.695970292273777e-10,
              -3.073205942885694e-14,
              1.6957045449695404e-10,
              -8.774004028197792e-14,
              1.69482714456672e-10,
              -8.886657343285803e-14,
              -6.636913486925834e-17,
              -8.893294256772725e-14
            ],
            [
              -6.492739597040687e-18,
              2.4276432693280353e-18,
              -4.783502742536358e-25,
              -6.4927398362158136e-18,
              2.4276430301528976e-18,
              -4.065213937300889e-18,
              1.171312379270649e-22,
              -4.065096806062901e-18,
              -8.776585476817023e-16,
              -8.817236444877652e-16,
              2.5619058794976158e-21,
              3.8072730811414703e-19,
              3.8328921399364447e-19,
              -1.3761367079118365e-11,
              -1.3757493736567369e-11,
              -1.3761377348206215e-11,
              5.507121363499993e-18,
              -1.537363277193718e-14,
              1.1494783099575252e-14,
              -3.873342550997517e-15,
              1.0560307193754826e-16,
              -3.767739479060007e-15,
              1.026908784659302e-17,
              -7.619345772108752e-19,
              9.507153269382155e-18
            ],
            [
              7.161818541252965e-14,
              -4.065002222023034e-18,
              -4.2343055572758594e-22,
              7.161818520081437e-14,
              -4.065213937300889e-18,
              7.161418533024389e-14,
              -6.534336683000703e-20,
              7.161411998687704e-14,
              9.379865210989435e-14,
              1.6541277209677143e-13,
              -1.8765932181768762e-17,
              -5.4045346002169243e-17,
              -7.281127818393801e-17,
              -6.270498521114034e-11,
              -2.3227172082333857e-10,
              -6.261612882041689e-11,
              4.162848033073001e-15,
              1.6958181059516231e-10,
              -1.92378309969738e-14,
              1.695667356121983e-10,
              -8.763459051123048e-14,
              1.6947910102168713e-10,
              -8.885639072324947e-14,
              -6.713107992692851e-17,
              -8.892352180317638e-14
            ],
            [
              -6.546031753740588e-20,
              1.1713066835886634e-22,
              1.1391363970328298e-27,
              -6.546031696783764e-20,
              1.171312379270649e-22,
              -6.534336683000703e-20,
              1.8110009644098142e-25,
              -6.53431857299106e-20,
              -1.9395756279605082e-19,
              -2.593007485259612e-19,
              1.8246736764138043e-23,
              1.081015294478248e-22,
              1.2634826621196287e-22,
              -8.531881443186653e-16,
              -6.987303490162008e-16,
              -8.532745225567111e-16,
              -1.1906552000378303e-20,
              -1.5500055644240478e-16,
              5.546676919406262e-19,
              -1.5445779530246507e-16,
              1.533011901309098e-19,
              -1.5430449411233414e-16,
              8.637823804504996e-20,
              1.0480459339276537e-23,
              8.638871850438917e-20
            ],
            [
              7.161811995221212e-14,
              -4.0648850913546344e-18,
              -4.234294165911889e-22,
              7.161811974049735e-14,
              -4.065096806062901e-18,
              7.161411998687704e-14,
              -6.53431857299106e-20,
              7.161405464369134e-14,
              9.379845815233148e-14,
              1.6541251279602283e-13,
              -1.8765913935031994e-17,
              -5.4045237900639785e-17,
              -7.281115183567177e-17,
              -6.270583839928499e-11,
              -2.3227241955368784e-10,
              -6.261698209493985e-11,
              4.162836126521001e-15,
              1.6958165559460578e-10,
              -1.923727632928165e-14,
              1.69566581154403e-10,
              -8.763443721004033e-14,
              1.69478946717193e-10,
              -8.885630434501138e-14,
              -6.71310694464692e-17,
              -8.892343541445787e-14
            ],
            [
              9.467611790518812e-14,
              -8.776573425068095e-16,
              -2.4103497862709036e-21,
              9.467611670001323e-14,
              -8.776585476817023e-16,
              9.379865210989435e-14,
              -1.9395756279605082e-19,
              9.379845815233148e-14,
              4.398221035484683e-12,
              4.492019493637011e-12,
              -3.366832066519893e-17,
              -1.30154840480908e-15,
              -1.3352167254742792e-15,
              1.0844321370889601e-08,
              1.0624282110291068e-08,
              1.084448040320675e-08,
              1.5696048396637184e-14,
              2.241795036349806e-10,
              -4.155939084848847e-12,
              2.2003926059852562e-10,
              -3.084067131886299e-13,
              2.1973085388533696e-10,
              -1.5903231714898292e-13,
              2.5103260286100714e-16,
              -1.58781284546122e-13
            ],
            [
              1.6629423785740022e-13,
              -8.817222275981635e-16,
              -2.833779202862091e-21,
              1.6629423644051064e-13,
              -8.817236444877652e-16,
              1.6541277209677143e-13,
              -2.593007485259612e-19,
              1.6541251279602283e-13,
              4.492019493637011e-12,
              4.657432006433038e-12,
              -5.24342346002309e-17,
              -1.35559364270972e-15,
              -1.4080278773099503e-15,
              1.0781615532490314e-08,
              1.0392009690737388e-08,
              1.0781863421111806e-08,
              1.985888452315818e-14,
              3.937611592295863e-10,
              -4.175176361178128e-12,
              3.896058417529287e-10,
              -3.9604115039867006e-13,
              3.8920980060252987e-10,
              -2.4788862149399415e-13,
              1.8390153341453807e-16,
              -2.477047199605799e-13
            ],
            [
              -1.8768475909457552e-17,
              2.5618373334318246e-21,
              1.370921315912712e-25,
              -1.8768475840911496e-17,
              2.5619058794976158e-21,
              -1.8765932181768762e-17,
              1.8246736764138043e-23,
              -1.8765913935031994e-17,
              -3.366832066519893e-17,
              -5.24342346002309e-17,
              5.809084560815822e-21,
              1.8908044495932182e-20,
              2.4717129056748003e-20,
              -2.6791222048817865e-14,
              1.7639010430852835e-14,
              -2.681873291618178e-14,
              -1.251703962789526e-18,
              -4.444111391902757e-14,
              1.2133143319646246e-17,
              -4.443023247967071e-14,
              2.4495626079460487e-17,
              -4.4405736853591254e-14,
              2.7510867363888886e-17,
              1.9035035730015947e-20,
              2.752990239961891e-17
            ],
            [
              -5.4425965702128684e-17,
              3.8072681473937204e-19,
              9.867495501262151e-25,
              -5.4425965208753935e-17,
              3.8072730811414703e-19,
              -5.4045346002169243e-17,
              1.081015294478248e-22,
              -5.4045237900639785e-17,
              -1.30154840480908e-15,
              -1.35559364270972e-15,
              1.8908044495932182e-20,
              5.212260010206414e-19,
              5.4013404551657385e-19,
              -3.4012717541028505e-12,
              -3.274194886939078e-12,
              -3.4013610624309504e-12,
              -6.743009218697974e-18,
              -1.2887290911078567e-13,
              1.802784956231829e-15,
              -1.2707686716377153e-13,
              1.4517621447912798e-16,
              -1.2693169094929245e-13,
              8.930832810052927e-17,
              -8.045666499470036e-20,
              8.922787143553456e-17
            ],
            [
              -7.319444161158627e-17,
              3.832886520728038e-19,
              1.1238416817174859e-24,
              -7.319444104966536e-17,
              3.8328921399364447e-19,
              -7.281127818393801e-17,
              1.2634826621196287e-22,
              -7.281115183567177e-17,
              -1.3352167254742792e-15,
              -1.4080278773099503e-15,
              2.4717129056748003e-20,
              5.4013404551657385e-19,
              5.648511745733218e-19,
              -3.428062976151666e-12,
              -3.2565558765082254e-12,
              -3.428179795347133e-12,
              -7.994713181487498e-18,
              -1.7331402302981317e-13,
              1.814918099551476e-15,
              -1.7150709964344225e-13,
              1.6967184055858848e-16,
              -1.713374278028837e-13,
              1.1681919546441823e-16,
              -6.142162926468443e-20,
              1.1675777383515352e-16
            ],
            [
              -4.89444697496165e-11,
              -1.376136550856825e-11,
              -3.1411002412568493e-18,
              -4.894447132016662e-11,
              -1.3761367079118365e-11,
              -6.270498521114034e-11,
              -8.531881443186653e-16,
              -6.270583839928499e-11,
              1.0844321370889601e-08,
              1.0781615532490314e-08,
              -2.6791222048817865e-14,
              -3.4012717541028505e-12,
              -3.428062976151666e-12,
              0.00013810759302244506,
              0.00013828865751187923,
              0.00013810771536486082,
              -3.225716801289088e-12,
              -1.1589575984297949e-07,
              -6.516550387437426e-08,
              -1.8106448943417253e-07,
              -9.571071748939056e-10,
              -1.8202159660906638e-07,
              -1.2234241577980567e-10,
              4.325210289629213e-12,
              -1.180172054901765e-10
            ],
            [
              -2.185149247485217e-10,
              -1.3757492667968361e-11,
              -2.1371980116333717e-18,
              -2.185149258171207e-10,
              -1.3757493736567369e-11,
              -2.3227172082333857e-10,
              -6.987303490162008e-16,
              -2.3227241955368784e-10,
              1.0624282110291068e-08,
              1.0392009690737388e-08,
              1.7639010430852835e-14,
              -3.274194886939078e-12,
              -3.2565558765082254e-12,
              0.00013828865751187923,
              0.00013887123259505099,
              0.00013828856947343241,
              -1.3097226898113116e-11,
              -5.17414796661408e-07,
              -6.514718928346077e-08,
              -5.825750831717842e-07,
              -7.498397007308944e-10,
              -5.833249228725151e-07,
              8.803844682204006e-11,
              4.4859750374401665e-12,
              9.252442185948023e-11
            ],
            [
              -4.885560317585813e-11,
              -1.3761375777330634e-11,
              -3.141751162013155e-18,
              -4.8855604746733713e-11,
              -1.3761377348206215e-11,
              -6.261612882041689e-11,
              -8.532745225567111e-16,
              -6.261698209493985e-11,
              1.084448040320675e-08,
              1.0781863421111806e-08,
              -2.681873291618178e-14,
              -3.4013610624309504e-12,
              -3.428179795347133e-12,
              0.00013810771536486082,
              0.00013828856947343241,
              0.0001381078378375663,
              -3.2197774460027547e-12,
              -1.1568533628233222e-07,
              -6.516555251177472e-08,
              -1.8085410857157053e-07,
              -9.572231786680122e-10,
              -1.8181133175023833e-07,
              -1.224727054025948e-10,
              4.325119562545101e-12,
              -1.1814758584004978e-10
            ],
            [
              4.157329080953394e-15,
              5.507197159395084e-18,
              -1.5159179019100365e-22,
              4.157329005157502e-15,
              5.507121363499993e-18,
              4.162848033073001e-15,
              -1.1906552000378303e-20,
              4.162836126521001e-15,
              1.5696048396637184e-14,
              1.985888452315818e-14,
              -1.251703962789526e-18,
              -6.743009218697974e-18,
              -7.994713181487498e-18,
              -3.225716801289088e-12,
              -1.3097226898113116e-11,
              -3.2197774460027547e-12,
              1.4889930918217644e-15,
              9.843952525471985e-12,
              2.6068578260133087e-14,
              9.871510096824054e-12,
              -1.16522277526932e-14,
              9.859857869071348e-12,
              -5.939355286312218e-15,
              -4.103966939530419e-18,
              -5.943459253251745e-15
            ],
            [
              1.695970297281212e-10,
              -1.537313202843867e-14,
              -1.0014869971292963e-18,
              1.695970292273777e-10,
              -1.537363277193718e-14,
              1.6958181059516231e-10,
              -1.5500055644240478e-16,
              1.6958165559460578e-10,
              2.241795036349806e-10,
              3.937611592295863e-10,
              -4.444111391902757e-14,
              -1.2887290911078567e-13,
              -1.7331402302981317e-13,
              -1.1589575984297949e-07,
              -5.17414796661408e-07,
              -1.1568533628233222e-07,
              9.843952525471985e-12,
              4.015819608196561e-07,
              -7.276795375313472e-11,
              4.015190368184284e-07,
              -2.0775592806574407e-10,
              4.013112808903628e-07,
              -2.104235606470076e-10,
              -1.5715291472507312e-13,
              -2.1058071356173264e-10
            ],
            [
              -3.073205829703659e-14,
              1.1494784231395602e-14,
              -2.2636407039838737e-21,
              -3.073205942885694e-14,
              1.1494783099575252e-14,
              -1.92378309969738e-14,
              5.546676919406262e-19,
              -1.923727632928165e-14,
              -4.155939084848847e-12,
              -4.175176361178128e-12,
              1.2133143319646246e-17,
              1.802784956231829e-15,
              1.814918099551476e-15,
              -6.516550387437426e-08,
              -6.514718928346077e-08,
              -6.516555251177472e-08,
              2.6068578260133087e-14,
              -7.276795375313472e-11,
              5.4427294261365513e-11,
              -1.8314590913504728e-11,
              5.001061304859137e-13,
              -1.781448478301905e-11,
              4.863740044804547e-14,
              -3.607729118942452e-15,
              4.502967132910303e-14
            ],
            [
              1.6957045499890507e-10,
              -3.872840599882771e-15,
              -1.0039022296234815e-18,
              1.6957045449695404e-10,
              -3.873342550997517e-15,
              1.695667356121983e-10,
              -1.5445779530246507e-16,
              1.69566581154403e-10,
              2.2003926059852562e-10,
              3.896058417529287e-10,
              -4.443023247967071e-14,
              -1.2707686716377153e-13,
              -1.7150709964344225e-13,
              -1.8106448943417253e-07,
              -5.825750831717842e-07,
              -1.8085410857157053e-07,
              9.871510096824054e-12,
              4.015190368184284e-07,
              -1.8314590913504728e-11,
              4.0151059373761194e-07,
              -2.072674741630113e-10,
              4.01303326263449e-07,
              -2.103808626018459e-10,
              -1.607647478109553e-13,
              -2.1054162734965668e-10
            ],
            [
              -8.774004088655817e-14,
              1.0560246735723484e-16,
              1.209160626886672e-21,
              -8.774004028197792e-14,
              1.0560307193754826e-16,
              -8.763459051123048e-14,
              1.533011901309098e-19,
              -8.763443721004033e-14,
              -3.084067131886299e-13,
              -3.9604115039867006e-13,
              2.4495626079460487e-17,
              1.4517621447912798e-16,
              1.6967184055858848e-16,
              -9.571071748939056e-10,
              -7.498397007308944e-10,
              -9.572231786680122e-10,
              -1.16522277526932e-14,
              -2.0775592806574407e-10,
              5.001061304859137e-13,
              -2.072674741630113e-10,
              2.0188902957474805e-13,
              -2.070655851334366e-10,
              1.1600377410572523e-13,
              2.949032239793454e-17,
              1.1603326442812307e-13
            ],
            [
              1.6948271495801845e-10,
              -3.767238132525581e-15,
              -1.0026930689965932e-18,
              1.69482714456672e-10,
              -3.767739479060007e-15,
              1.6947910102168713e-10,
              -1.5430449411233414e-16,
              1.69478946717193e-10,
              2.1973085388533696e-10,
              3.8920980060252987e-10,
              -4.4405736853591254e-14,
              -1.2693169094929245e-13,
              -1.713374278028837e-13,
              -1.8202159660906638e-07,
              -5.833249228725151e-07,
              -1.8181133175023833e-07,
              9.859857869071348e-12,
              4.013112808903628e-07,
              -1.781448478301905e-11,
              4.01303326263449e-07,
              -2.070655851334366e-10,
              4.010962606783153e-07,
              -2.102648588277402e-10,
              -1.6073525748855725e-13,
              -2.1042559408522873e-10
            ],
            [
              -8.886657375831835e-14,
              1.02687623862149e-17,
              6.509207563030607e-22,
              -8.886657343285803e-14,
              1.026908784659302e-17,
              -8.885639072324947e-14,
              8.637823804504996e-20,
              -8.885630434501138e-14,
              -1.5903231714898292e-13,
              -2.4788862149399415e-13,
              2.7510867363888886e-17,
              8.930832810052927e-17,
              1.1681919546441823e-16,
              -1.2234241577980567e-10,
              8.803844682204006e-11,
              -1.224727054025948e-10,
              -5.939355286312218e-15,
              -2.104235606470076e-10,
              4.863740044804547e-14,
              -2.103808626018459e-10,
              1.1600377410572523e-13,
              -2.102648588277402e-10,
              1.3028962278900643e-13,
              9.072708411260513e-17,
              1.3038034987311905e-13
            ],
            [
              -6.636913508310345e-17,
              -7.619347910560552e-19,
              4.276903590827701e-25,
              -6.636913486925834e-17,
              -7.619345772108752e-19,
              -6.713107992692851e-17,
              1.0480459339276537e-23,
              -6.71310694464692e-17,
              2.5103260286100714e-16,
              1.8390153341453807e-16,
              1.9035035730015947e-20,
              -8.045666499470036e-20,
              -6.142162926468443e-20,
              4.325210289629213e-12,
              4.4859750374401665e-12,
              4.325119562545101e-12,
              -4.103966939530419e-18,
              -1.5715291472507312e-13,
              -3.607729118942452e-15,
              -1.607647478109553e-13,
              2.949032239793454e-17,
              -1.6073525748855725e-13,
              9.072708411260513e-17,
              3.229995172286192e-19,
              9.105008362983375e-17
            ],
            [
              -8.893294289340147e-14,
              9.50682759515885e-18,
              6.513484466621437e-22,
              -8.893294256772725e-14,
              9.507153269382155e-18,
              -8.892352180317638e-14,
              8.638871850438917e-20,
              -8.892343541445787e-14,
              -1.58781284546122e-13,
              -2.477047199605799e-13,
              2.752990239961891e-17,
              8.922787143553456e-17,
              1.1675777383515352e-16,
              -1.180172054901765e-10,
              9.252442185948023e-11,
              -1.1814758584004978e-10,
              -5.943459253251745e-15,
              -2.1058071356173264e-10,
              4.502967132910303e-14,
              -2.1054162734965668e-10,
              1.1603326442812307e-13,
              -2.1042559408522873e-10,
              1.3038034987311905e-13,
              9.105008362983375e-17,
              1.304713999567489e-13
            ]
          ]
        },
        "local_native_velocity_error": {
          "J": 2.582277825465864e-08,
          "Q": -1.3063336877252352e-11
        }
      },
      {
        "time": 8192.0,
        "statistics": {
          "columns": [
            "mixed_CE",
            "hidden_CE",
            "CE_interaction",
            "mixed_Shapley",
            "hidden_Shapley",
            "task_linear",
            "positive_KL",
            "J_CE_same_error",
            "J_CE_path_remainder",
            "J_CE_actual_minus_prediction",
            "Q_CE_same_error",
            "Q_CE_path_remainder",
            "Q_CE_actual_minus_prediction",
            "Fb_actual",
            "Fb_J_same",
            "Fb_Q_same",
            "force_output",
            "force_mixed",
            "force_hidden",
            "J_Fb_same_error",
            "J_Fb_path_remainder",
            "J_Fb_actual_minus_prediction",
            "Q_Fb_same_error",
            "Q_Fb_path_remainder",
            "Q_Fb_actual_minus_prediction"
          ],
          "mean": [
            -3.251387900583127e-06,
            1.4408314196324861e-08,
            4.273558265508489e-14,
            -3.2513878792153353e-06,
            1.4408335564116177e-08,
            -3.2369853595630296e-06,
            5.815911811513147e-12,
            -3.236979543651218e-06,
            -2.3917501063726993e-06,
            -5.628729650023917e-06,
            1.6403769287439298e-09,
            1.7356628007144543e-09,
            3.376039729458384e-09,
            -0.015322586086493256,
            -0.011522003820793122,
            -0.015326440241260945,
            -1.59219460075239e-07,
            -0.0038343919921392435,
            3.3968945899183366e-05,
            -0.0038005822657001358,
            4.795113371294718e-06,
            -0.003795787152328838,
            3.854154767693731e-06,
            1.9533590124871496e-09,
            3.856108126706218e-06
          ],
          "doc_SD": [
            5.384363196093209e-07,
            6.279095394803313e-09,
            3.3925410612858464e-14,
            5.384363132587412e-07,
            6.2790939880459346e-09,
            5.383762852756832e-07,
            1.7346146663009663e-12,
            5.383752915448733e-07,
            4.266441014298912e-06,
            4.386153895425187e-06,
            3.078314755116454e-10,
            2.9245543599847718e-09,
            3.043712487713676e-09,
            0.011745971597797052,
            0.011784108362628767,
            0.011745990207359355,
            7.881401671220609e-08,
            0.0006349829192961121,
            1.4805198740420913e-05,
            0.0006349578542597695,
            9.192791649761005e-07,
            0.0006342912769082447,
            7.261825587628261e-07,
            2.2167740086602344e-09,
            7.272702995723434e-07
          ],
          "doc_RMS": [
            3.295325780523643e-06,
            1.5707276441670234e-08,
            5.4481848741274556e-14,
            3.295325758411217e-06,
            1.570729548442061e-08,
            3.2811063373606724e-06,
            6.067141938510075e-12,
            3.281100437874096e-06,
            4.8765541441367074e-06,
            7.1253521940554625e-06,
            1.6687888936211397e-09,
            3.3909767188182195e-09,
            4.5375603039411975e-09,
            0.01927878677032576,
            0.016448005882057186,
            0.019281861403566043,
            1.7752170905934492e-07,
            0.003886208336069645,
            3.703202320728828e-05,
            0.003852849238924219,
            4.881760367395411e-06,
            0.003848010182207406,
            3.921444916045143e-06,
            2.9481022934094555e-09,
            3.923564676371767e-06
          ],
          "positive_doc_gross": [
            0.0,
            1.4418969256091968e-08,
            4.297386236830305e-14,
            0.0,
            1.4418990314543385e-08,
            0.0,
            5.815911811513147e-12,
            0.0,
            7.634245102407998e-07,
            1.4286108958770357e-07,
            1.6403769287439298e-09,
            2.2250555419148108e-09,
            3.57925048292525e-09,
            0.0003958573612105639,
            0.0008626384200304292,
            0.00039555496684558986,
            0.0,
            0.0,
            3.399415682175162e-05,
            0.0,
            4.795113371294718e-06,
            0.0,
            3.854154767693731e-06,
            2.180418949561195e-09,
            3.856108126706218e-06
          ],
          "negative_doc_gross": [
            3.251387900583127e-06,
            1.0655059767106082e-11,
            2.382797132181591e-16,
            3.2513878792153353e-06,
            1.0654750427208241e-11,
            3.2369853595630296e-06,
            0.0,
            3.236979543651218e-06,
            3.1551746166134985e-06,
            5.771590739611621e-06,
            0.0,
            4.893927412003557e-10,
            2.0321075346686653e-10,
            0.015718443447703817,
            0.012384642240823552,
            0.015721995208106538,
            1.59219460075239e-07,
            0.0038343919921392435,
            2.5210922568263907e-08,
            0.0038005822657001358,
            0.0,
            0.003795787152328838,
            0.0,
            2.2705993707404574e-10,
            0.0
          ],
          "negative_doc_fraction": [
            1.0,
            0.015625,
            0.03125,
            1.0,
            0.015625,
            1.0,
            0.0,
            1.0,
            0.671875,
            0.9140625,
            0.0,
            0.2890625,
            0.1171875,
            0.921875,
            0.859375,
            0.921875,
            1.0,
            1.0,
            0.015625,
            1.0,
            0.0,
            1.0,
            0.0,
            0.21875,
            0.0
          ],
          "doc_covariance": [
            [
              2.8991367027443083e-13,
              -5.256452725849036e-17,
              -6.8387657260129e-21,
              2.899136668550477e-13,
              -5.2567946641353467e-17,
              2.8986163581095457e-13,
              -5.369025481083701e-19,
              2.8986109890840636e-13,
              3.803014369437603e-13,
              6.701625358521669e-13,
              -1.5243394423226666e-16,
              -4.439050739170387e-16,
              -5.963390181493053e-16,
              -9.869577099060928e-11,
              -4.4048711670031785e-10,
              -9.833636454139735e-11,
              1.7340436625251455e-14,
              3.4189786607939463e-10,
              -1.2386080631053855e-13,
              3.41791345709709e-10,
              -3.60770532515096e-13,
              3.41430575177194e-10,
              -3.594064492119047e-13,
              -5.659245719964689e-16,
              -3.59972373783901e-13
            ],
            [
              -5.256452725849036e-17,
              3.942703897704018e-17,
              -1.766661328387854e-23,
              -5.256453609179694e-17,
              3.9427030143733507e-17,
              -1.3139409354164138e-17,
              1.903406100843367e-21,
              -1.3137505948063402e-17,
              -7.311842736662396e-15,
              -7.324980242610458e-15,
              2.8849534013379174e-20,
              6.037098373298839e-18,
              6.0659479073122185e-18,
              -5.541970139169542e-11,
              -5.545071933513661e-11,
              -5.5419739188622324e-11,
              4.23966620781008e-17,
              -6.198770409510508e-14,
              9.296325087422489e-14,
              3.101794344120428e-14,
              8.732835638066386e-16,
              3.189122700501101e-14,
              3.779692688943468e-17,
              -1.1642714197202708e-17,
              2.615421269223203e-17
            ],
            [
              -6.8387657260129e-21,
              -1.766661328387854e-23,
              1.15093348525105e-27,
              -6.83876515054616e-21,
              -1.7666037817135903e-23,
              -6.856469318820692e-21,
              3.813045739577153e-26,
              -6.856431188363291e-21,
              -3.8549304033569687e-20,
              -4.5405735221932985e-20,
              4.450190333760065e-24,
              3.160990148123782e-23,
              3.606009181499789e-23,
              -2.181022406898009e-17,
              -1.3701133400340051e-17,
              -2.1820775976491778e-17,
              -2.489383798463878e-21,
              -8.064989512391912e-18,
              -4.161177244963153e-20,
              -8.10909066864003e-18,
              2.0101528894314976e-20,
              -8.08898913974572e-18,
              1.055190751169726e-20,
              1.510321751092961e-23,
              1.0567010729208182e-20
            ],
            [
              2.899136668550477e-13,
              -5.256453609179694e-17,
              -6.83876515054616e-21,
              2.899136634356653e-13,
              -5.256795547437219e-17,
              2.8986163238271977e-13,
              -5.369025290431419e-19,
              2.8986109548019084e-13,
              3.8030141766910836e-13,
              6.701625131492992e-13,
              -1.5243394200717152e-16,
              -4.4390505811208802e-16,
              -5.963390001192595e-16,
              -9.869578189572132e-11,
              -4.4048712355088473e-10,
              -9.833637545178526e-11,
              1.734043538055955e-14,
              3.418978620468999e-10,
              -1.2386082711642433e-13,
              3.417913416551636e-10,
              -3.607705224643317e-13,
              3.4143057113269903e-10,
              -3.594064439359508e-13,
              -5.659245644448602e-16,
              -3.5997236850039566e-13
            ],
            [
              -5.2567946641353467e-17,
              3.9427030143733507e-17,
              -1.7666037817135903e-23,
              -5.256795547437219e-17,
              3.9427021310714594e-17,
              -1.3142837588823566e-17,
              1.903425166072065e-21,
              -1.3140934163657554e-17,
              -7.31186201131441e-15,
              -7.325002945478067e-15,
              2.885175910854614e-20,
              6.03711417824958e-18,
              6.065965937358126e-18,
              -5.541971229680743e-11,
              -5.545072618570333e-11,
              -5.541975009901029e-11,
              4.2395417386201565e-17,
              -6.199173658986139e-14,
              9.296323006833864e-14,
              3.10138888958699e-14,
              8.7329361457108585e-16,
              3.188718251044111e-14,
              3.780220284319071e-17,
              -1.1642706645593954e-17,
              2.6159496197596787e-17
            ],
            [
              2.8986163581095457e-13,
              -1.3139409354164138e-17,
              -6.856469318820692e-21,
              2.8986163238271977e-13,
              -1.3142837588823566e-17,
              2.8984902454724384e-13,
              -5.350021127651103e-19,
              2.8984848954513117e-13,
              3.7299118992944434e-13,
              6.628396794745752e-13,
              -1.5240539076312652e-16,
              -4.3786974182111996e-16,
              -5.902751325842466e-16,
              -1.5411202956226253e-10,
              -4.959350138898629e-10,
              -1.5375266021224144e-10,
              1.738293153142176e-14,
              3.41836503482064e-10,
              -3.090208599457672e-14,
              3.4182298432760047e-10,
              -3.598985122689712e-13,
              3.4146308581533153e-10,
              -3.59369350020766e-13,
              -5.775675468051594e-16,
              -3.5994691756757155e-13
            ],
            [
              -5.369025481083701e-19,
              1.903406100843367e-21,
              3.813045739577153e-26,
              -5.369025290431419e-19,
              1.903425166072065e-21,
              -5.350021127651103e-19,
              3.0088880405464124e-24,
              -5.349991038770697e-19,
              -1.6342716503588013e-18,
              -2.1692707542358708e-18,
              3.0051506361583704e-22,
              1.797887281464368e-21,
              2.0984023450802048e-21,
              -3.4646302667157847e-15,
              -2.8358467256411052e-15,
              -3.465338554374239e-15,
              -1.0073347599816218e-19,
              -6.331717540898169e-16,
              4.488946491136595e-18,
              -6.287835410746789e-16,
              1.28341921090275e-18,
              -6.275001218637765e-16,
              7.082876584550396e-19,
              2.757147060518106e-22,
              7.0856337316109185e-19
            ],
            [
              2.8986109890840636e-13,
              -1.3137505948063402e-17,
              -6.856431188363291e-21,
              2.8986109548019084e-13,
              -1.3140934163657554e-17,
              2.8984848954513117e-13,
              -5.349991038770697e-19,
              2.898479545460273e-13,
              3.729895556577939e-13,
              6.628375102038216e-13,
              -1.5240509024806292e-16,
              -4.378679439338382e-16,
              -5.90273034181901e-16,
              -1.5411549419252885e-10,
              -4.959378497365882e-10,
              -1.5375612555079556e-10,
              1.738283079794574e-14,
              3.4183587031031e-10,
              -3.0897597048085764e-14,
              3.418223555440594e-10,
              -3.5989722884976054e-13,
              3.414624583152096e-10,
              -3.593686417331078e-13,
              -5.77567271090454e-16,
              -3.5994620900419794e-13
            ],
            [
              3.803014369437603e-13,
              -7.311842736662396e-15,
              -3.8549304033569687e-20,
              3.8030141766910836e-13,
              -7.31186201131441e-15,
              3.7299118992944434e-13,
              -1.6342716503588013e-18,
              3.729895556577939e-13,
              1.8202518928491932e-11,
              1.8575508484149724e-11,
              -2.7123026622892905e-16,
              -1.0666754504709126e-14,
              -1.0937984770938052e-14,
              2.2295741337536677e-08,
              2.186442566272576e-08,
              2.2296377671795503e-08,
              6.63259354755125e-14,
              4.4849189779407604e-10,
              -1.7242548918624286e-11,
              4.3131567481092583e-10,
              -1.2864595772359794e-12,
              4.300292152336895e-10,
              -6.363342588207519e-13,
              1.9408476883126163e-15,
              -6.343934111324395e-13
            ],
            [
              6.701625358521669e-13,
              -7.324980242610458e-15,
              -4.5405735221932985e-20,
              6.701625131492992e-13,
              -7.325002945478067e-15,
              6.628396794745752e-13,
              -2.1692707542358708e-18,
              6.628375102038216e-13,
              1.8575508484149724e-11,
              1.923834599435354e-11,
              -4.236353564769923e-16,
              -1.1104622448642958e-14,
              -1.1528257805119957e-14,
              2.2141625843344152e-08,
              2.1368487812989174e-08,
              2.2142621546244705e-08,
              8.370876627345823e-14,
              7.903277681043864e-10,
              -1.727344651567237e-11,
              7.731380303549851e-10,
              -1.6463568060857393e-12,
              7.714916735488993e-10,
              -9.957029005538598e-13,
              1.3632804172221617e-15,
              -9.943396201366384e-13
            ],
            [
              -1.5243394423226666e-16,
              2.8849534013379174e-20,
              4.450190333760065e-24,
              -1.5243394200717152e-16,
              2.885175910854614e-20,
              -1.5240539076312652e-16,
              3.0051506361583704e-22,
              -1.5240509024806292e-16,
              -2.7123026622892905e-16,
              -4.236353564769923e-16,
              9.476021731567673e-20,
              3.08203643021278e-19,
              4.029638603369546e-19,
              -1.0029559552925045e-13,
              7.941358940303217e-14,
              -1.0051912813627903e-13,
              -1.0529693648966752e-17,
              -1.7976673535802702e-13,
              6.808011939327094e-17,
              -1.7970918493228263e-13,
              2.0221405613433373e-16,
              -1.7950697087614821e-13,
              2.2353260702853016e-16,
              3.3031833891905004e-19,
              2.2386292536744906e-16
            ],
            [
              -4.439050739170387e-16,
              6.037098373298839e-18,
              3.160990148123782e-23,
              -4.4390505811208802e-16,
              6.03711417824958e-18,
              -4.3786974182111996e-16,
              1.797887281464368e-21,
              -4.378679439338382e-16,
              -1.0666754504709126e-14,
              -1.1104622448642958e-14,
              3.08203643021278e-19,
              8.553018204505938e-18,
              8.861221847527213e-18,
              -1.3166180534333962e-11,
              -1.2656858140217892e-11,
              -1.3166903658641217e-11,
              -5.766913734562859e-17,
              -5.235001998339844e-13,
              1.4235474855251513e-14,
              -5.09322394116078e-13,
              1.2054031186799498e-15,
              -5.081169909973977e-13,
              7.231243072474667e-16,
              -1.0993272706253078e-18,
              7.220249799768413e-16
            ],
            [
              -5.963390181493053e-16,
              6.0659479073122185e-18,
              3.606009181499789e-23,
              -5.963390001192595e-16,
              6.065965937358126e-18,
              -5.902751325842466e-16,
              2.0984023450802048e-21,
              -5.90273034181901e-16,
              -1.0937984770938052e-14,
              -1.1528257805119957e-14,
              4.029638603369546e-19,
              8.861221847527213e-18,
              9.264185707864173e-18,
              -1.3266476129863221e-11,
              -1.257744455081486e-11,
              -1.3267422786777497e-11,
              -6.819883099459537e-17,
              -7.032669351920116e-13,
              1.4303554974644793e-14,
              -6.890315790483604e-13,
              1.4076171748142839e-15,
              -6.876239618735461e-13,
              9.466569142759961e-16,
              -7.690089317062582e-19,
              9.458879053442903e-16
            ],
            [
              -9.869577099060928e-11,
              -5.541970139169542e-11,
              -2.181022406898009e-17,
              -9.869578189572132e-11,
              -5.541971229680743e-11,
              -1.5411202956226253e-10,
              -3.4646302667157847e-15,
              -1.5411549419252885e-10,
              2.2295741337536677e-08,
              2.2141625843344152e-08,
              -1.0029559552925045e-13,
              -1.3166180534333962e-11,
              -1.3266476129863221e-11,
              0.000137967848776255,
              0.0001382149436008731,
              0.00013796806710014795,
              -1.6997137625277885e-12,
              -1.1639713020564506e-07,
              -1.3069599469862804e-07,
              -2.470948246180443e-07,
              -1.9625178779884845e-09,
              -2.4905734249603263e-07,
              -2.1832389286802832e-10,
              1.6342667700815416e-11,
              -2.0198122516721344e-10
            ],
            [
              -4.4048711670031785e-10,
              -5.545071933513661e-11,
              -1.3701133400340051e-17,
              -4.4048712355088473e-10,
              -5.545072618570333e-11,
              -4.959350138898629e-10,
              -2.8358467256411052e-15,
              -4.959378497365882e-10,
              2.186442566272576e-08,
              2.1368487812989174e-08,
              7.941358940303217e-14,
              -1.2656858140217892e-11,
              -1.257744455081486e-11,
              0.0001382149436008731,
              0.00013886520990217724,
              0.00013821473813781983,
              -2.225548199019057e-11,
              -5.194748224863946e-07,
              -1.3076922333582142e-07,
              -6.502663013042153e-07,
              -1.5390689787574644e-09,
              -6.518053702829723e-07,
              2.0546305328463097e-10,
              1.7037555396827124e-11,
              2.2250060868145773e-10
            ],
            [
              -9.833636454139735e-11,
              -5.5419739188622324e-11,
              -2.1820775976491778e-17,
              -9.833637545178526e-11,
              -5.541975009901029e-11,
              -1.5375266021224144e-10,
              -3.465338554374239e-15,
              -1.5375612555079556e-10,
              2.2296377671795503e-08,
              2.2142621546244705e-08,
              -1.0051912813627903e-13,
              -1.3166903658641217e-11,
              -1.3267422786777497e-11,
              0.00013796806710014795,
              0.00013821473813781983,
              0.00013796828595138188,
              -1.674784012951162e-12,
              -1.1597327891442431e-07,
              -1.306960839734454e-07,
              -2.466710376718918e-07,
              -1.9629948192437365e-09,
              -2.486340324911353e-07,
              -2.188512339766798e-10,
              1.6341879667864545e-11,
              -2.0250935430881535e-10
            ],
            [
              1.7340436625251455e-14,
              4.23966620781008e-17,
              -2.489383798463878e-21,
              1.734043538055955e-14,
              4.2395417386201565e-17,
              1.738293153142176e-14,
              -1.0073347599816218e-19,
              1.738283079794574e-14,
              6.63259354755125e-14,
              8.370876627345823e-14,
              -1.0529693648966752e-17,
              -5.766913734562859e-17,
              -6.819883099459537e-17,
              -1.6997137625277885e-12,
              -2.225548199019057e-11,
              -1.674784012951162e-12,
              6.2116492303119014e-15,
              2.0449656033036682e-11,
              9.990054539572692e-14,
              2.055576822766278e-11,
              -4.937273773536037e-14,
              2.0506395489927408e-11,
              -2.4929749576632493e-14,
              -3.48998630569735e-17,
              -2.4964649439689448e-14
            ],
            [
              3.4189786607939463e-10,
              -6.198770409510508e-14,
              -8.064989512391912e-18,
              3.418978620468999e-10,
              -6.199173658986139e-14,
              3.41836503482064e-10,
              -6.331717540898169e-16,
              3.4183587031031e-10,
              4.4849189779407604e-10,
              7.903277681043864e-10,
              -1.7976673535802702e-13,
              -5.235001998339844e-13,
              -7.032669351920116e-13,
              -1.1639713020564506e-07,
              -5.194748224863946e-07,
              -1.1597327891442431e-07,
              2.0449656033036682e-11,
              4.0320330779781286e-07,
              -1.4606517309538033e-10,
              4.0307769228075005e-07,
              -4.254592925470931e-10,
              4.026522329882031e-07,
              -4.238512912204583e-10,
              -6.674009790434041e-13,
              -4.245186921995018e-10
            ],
            [
              -1.2386080631053855e-13,
              9.296325087422489e-14,
              -4.161177244963153e-20,
              -1.2386082711642433e-13,
              9.296323006833864e-14,
              -3.090208599457672e-14,
              4.488946491136595e-18,
              -3.0897597048085764e-14,
              -1.7242548918624286e-11,
              -1.727344651567237e-11,
              6.808011939327094e-17,
              1.4235474855251513e-14,
              1.4303554974644793e-14,
              -1.3069599469862804e-07,
              -1.3076922333582142e-07,
              -1.306960839734454e-07,
              9.990054539572692e-14,
              -1.4606517309538033e-10,
              2.19193909743361e-10,
              7.322863719339158e-11,
              2.0597660538079873e-12,
              7.528840324719947e-11,
              8.92748173751323e-14,
              -2.745181710526518e-14,
              6.18230002698672e-14
            ],
            [
              3.41791345709709e-10,
              3.101794344120428e-14,
              -8.10909066864003e-18,
              3.417913416551636e-10,
              3.10138888958699e-14,
              3.4182298432760047e-10,
              -6.287835410746789e-16,
              3.418223555440594e-10,
              4.3131567481092583e-10,
              7.731380303549851e-10,
              -1.7970918493228263e-13,
              -5.09322394116078e-13,
              -6.890315790483604e-13,
              -2.470948246180443e-07,
              -6.502663013042153e-07,
              -2.466710376718918e-07,
              2.055576822766278e-11,
              4.0307769228075005e-07,
              7.322863719339158e-11,
              4.031714766861708e-07,
              -4.2344889923102005e-10,
              4.0274802778693984e-07,
              -4.2378694615265957e-10,
              -6.948876960117265e-13,
              -4.2448183384867116e-10
            ],
            [
              -3.60770532515096e-13,
              8.732835638066386e-16,
              2.0101528894314976e-20,
              -3.607705224643317e-13,
              8.7329361457108585e-16,
              -3.598985122689712e-13,
              1.28341921090275e-18,
              -3.5989722884976054e-13,
              -1.2864595772359794e-12,
              -1.6463568060857393e-12,
              2.0221405613433373e-16,
              1.2054031186799498e-15,
              1.4076171748142839e-15,
              -1.9625178779884845e-09,
              -1.5390689787574644e-09,
              -1.9629948192437365e-09,
              -4.937273773536037e-14,
              -4.254592925470931e-10,
              2.0597660538079873e-12,
              -4.2344889923102005e-10,
              8.450741831591565e-13,
              -4.226038250478608e-10,
              4.769412552525691e-13,
              3.0044633669641106e-16,
              4.772417015892658e-13
            ],
            [
              3.41430575177194e-10,
              3.189122700501101e-14,
              -8.08898913974572e-18,
              3.4143057113269903e-10,
              3.188718251044111e-14,
              3.4146308581533153e-10,
              -6.275001218637765e-16,
              3.414624583152096e-10,
              4.300292152336895e-10,
              7.714916735488993e-10,
              -1.7950697087614821e-13,
              -5.081169909973977e-13,
              -6.876239618735461e-13,
              -2.4905734249603263e-07,
              -6.518053702829723e-07,
              -2.486340324911353e-07,
              2.0506395489927408e-11,
              4.026522329882031e-07,
              7.528840324719947e-11,
              4.0274802778693984e-07,
              -4.226038250478608e-10,
              4.023254239618916e-07,
              -4.233100048974068e-10,
              -6.945872496750298e-13,
              -4.240045921470819e-10
            ],
            [
              -3.594064492119047e-13,
              3.779692688943468e-17,
              1.055190751169726e-20,
              -3.594064439359508e-13,
              3.780220284319071e-17,
              -3.59369350020766e-13,
              7.082876584550396e-19,
              -3.593686417331078e-13,
              -6.363342588207519e-13,
              -9.957029005538598e-13,
              2.2353260702853016e-16,
              7.231243072474667e-16,
              9.466569142759961e-16,
              -2.1832389286802832e-10,
              2.0546305328463097e-10,
              -2.188512339766798e-10,
              -2.4929749576632493e-14,
              -4.238512912204583e-10,
              8.92748173751323e-14,
              -4.2378694615265957e-10,
              4.769412552525691e-13,
              -4.233100048974068e-10,
              5.273411086513253e-13,
              7.880329508576871e-16,
              5.28129141602183e-13
            ],
            [
              -5.659245719964689e-16,
              -1.1642714197202708e-17,
              1.510321751092961e-23,
              -5.659245644448602e-16,
              -1.1642706645593954e-17,
              -5.775675468051594e-16,
              2.757147060518106e-22,
              -5.77567271090454e-16,
              1.9408476883126163e-15,
              1.3632804172221617e-15,
              3.3031833891905004e-19,
              -1.0993272706253078e-18,
              -7.690089317062582e-19,
              1.6342667700815416e-11,
              1.7037555396827124e-11,
              1.6341879667864545e-11,
              -3.48998630569735e-17,
              -6.674009790434041e-13,
              -2.745181710526518e-14,
              -6.948876960117265e-13,
              3.0044633669641106e-16,
              -6.945872496750298e-13,
              7.880329508576871e-16,
              4.9140870054715655e-18,
              7.929470378631592e-16
            ],
            [
              -3.59972373783901e-13,
              2.615421269223203e-17,
              1.0567010729208182e-20,
              -3.5997236850039566e-13,
              2.6159496197596787e-17,
              -3.5994691756757155e-13,
              7.0856337316109185e-19,
              -3.5994620900419794e-13,
              -6.343934111324395e-13,
              -9.943396201366384e-13,
              2.2386292536744906e-16,
              7.220249799768413e-16,
              9.458879053442903e-16,
              -2.0198122516721344e-10,
              2.2250060868145773e-10,
              -2.0250935430881535e-10,
              -2.4964649439689448e-14,
              -4.245186921995018e-10,
              6.18230002698672e-14,
              -4.2448183384867116e-10,
              4.772417015892658e-13,
              -4.240045921470819e-10,
              5.28129141602183e-13,
              7.929470378631592e-16,
              5.289220886400461e-13
            ]
          ]
        },
        "local_native_velocity_error": {
          "J": 2.576066511788985e-08,
          "Q": -2.6123784026231726e-11
        }
      },
      {
        "time": 16384.0,
        "statistics": {
          "columns": [
            "mixed_CE",
            "hidden_CE",
            "CE_interaction",
            "mixed_Shapley",
            "hidden_Shapley",
            "task_linear",
            "positive_KL",
            "J_CE_same_error",
            "J_CE_path_remainder",
            "J_CE_actual_minus_prediction",
            "Q_CE_same_error",
            "Q_CE_path_remainder",
            "Q_CE_actual_minus_prediction",
            "Fb_actual",
            "Fb_J_same",
            "Fb_Q_same",
            "force_output",
            "force_mixed",
            "force_hidden",
            "J_Fb_same_error",
            "J_Fb_path_remainder",
            "J_Fb_actual_minus_prediction",
            "Q_Fb_same_error",
            "Q_Fb_path_remainder",
            "Q_Fb_actual_minus_prediction"
          ],
          "mean": [
            -6.535829047341003e-06,
            5.7692662368814375e-08,
            3.440906022143759e-13,
            -6.535828875295702e-06,
            5.769283441411552e-08,
            -6.478159785844255e-06,
            2.3744962672188923e-11,
            -6.478136040881585e-06,
            -4.786359302137788e-06,
            -1.1264495343019372e-05,
            6.5476325286893645e-09,
            6.728939691417117e-09,
            1.3276572220106487e-08,
            -0.015284996712246047,
            -0.011502632146732826,
            -0.015292650992343572,
            -3.4978985869284005e-07,
            -0.003849923336233581,
            6.790856057905164e-05,
            -0.0037823645655132234,
            9.686042972314024e-06,
            -0.0037726785225409083,
            7.654280097518662e-06,
            9.167369853958936e-09,
            7.663447467372615e-06
          ],
          "doc_SD": [
            1.0823054166870182e-06,
            2.5150506420719147e-08,
            2.7367109294234205e-13,
            1.0823053654590034e-06,
            2.515049507491641e-08,
            1.0822117215600737e-06,
            7.113994115992522e-12,
            1.0822076587957428e-06,
            8.596605519792087e-06,
            8.831876383493708e-06,
            1.2386994796337859e-09,
            1.1743890962375585e-08,
            1.2219041667491294e-08,
            0.011734114059708685,
            0.011783598599991384,
            0.011734142150930509,
            1.6325106657134486e-07,
            0.0006375307900742727,
            2.9610588879187414e-05,
            0.0006378290798924809,
            1.8572583474114877e-06,
            0.0006364913039915059,
            1.4604073847484617e-06,
            8.717481371994534e-09,
            1.4650284014468158e-06
          ],
          "doc_RMS": [
            6.624144843345958e-06,
            6.289713414281987e-08,
            4.3898642995278737e-13,
            6.624144665289785e-06,
            6.28972874507781e-08,
            6.56723583863058e-06,
            2.4779765585227295e-11,
            6.567211751467031e-06,
            9.809867755242123e-06,
            1.4292708100467789e-05,
            6.662873315317086e-09,
            1.3495188487576111e-08,
            1.80112715830124e-08,
            0.01924174780434821,
            0.016434078972528035,
            0.01924784565991681,
            3.8574038645299807e-07,
            0.0039019456489852726,
            7.40372181774706e-05,
            0.003835352567103591,
            9.861130185029406e-06,
            0.003825579616905008,
            7.791285588459518e-06,
            1.2627012497968555e-08,
            7.80115166300976e-06
          ],
          "positive_doc_gross": [
            0.0,
            5.7735743571883396e-08,
            3.4598397786155603e-13,
            0.0,
            5.773591313931427e-08,
            0.0,
            2.3744962672188923e-11,
            0.0,
            1.550679533106365e-06,
            2.968584549991591e-07,
            6.5476325286893645e-09,
            8.767481350873636e-09,
            1.4128982227270177e-08,
            0.0003971448092428667,
            0.000865372726056373,
            0.00039654260587171364,
            0.0,
            0.0,
            6.795963183037074e-05,
            0.0,
            9.686042972314024e-06,
            0.0,
            7.654280097518662e-06,
            9.7663227056518e-09,
            7.663447467372615e-06
          ],
          "negative_doc_gross": [
            6.535829047341003e-06,
            4.308120306902316e-11,
            1.8933756471800613e-15,
            6.535828875295702e-06,
            4.3078725198752834e-11,
            6.478159785844255e-06,
            0.0,
            6.478136040881585e-06,
            6.337038835244152e-06,
            1.1561353798018529e-05,
            0.0,
            2.0385416594565165e-09,
            8.524100071636928e-10,
            0.015682141521488915,
            0.012368004872789199,
            0.015689193598215283,
            3.4978985869284005e-07,
            0.003849923336233581,
            5.107125131909944e-08,
            0.0037823645655132234,
            0.0,
            0.0037726785225409083,
            0.0,
            5.989528516928632e-10,
            0.0
          ],
          "negative_doc_fraction": [
            1.0,
            0.015625,
            0.0234375,
            1.0,
            0.015625,
            1.0,
            0.0,
            1.0,
            0.671875,
            0.9140625,
            0.0,
            0.2890625,
            0.1171875,
            0.921875,
            0.859375,
            0.921875,
            1.0,
            1.0,
            0.015625,
            1.0,
            0.0,
            1.0,
            0.0,
            0.1796875,
            0.0
          ],
          "doc_covariance": [
            [
              1.1713850149900599e-12,
              -4.219616441394795e-16,
              -1.1088873201401482e-19,
              1.1713849595456936e-12,
              -4.2201708850548895e-16,
              1.1709673698117926e-12,
              -4.427354604210005e-18,
              1.170962942457188e-12,
              1.5240761388595803e-12,
              2.6950390813167684e-12,
              -1.2314798614297886e-15,
              -3.580254154612688e-15,
              -4.811734016042478e-15,
              -1.9929673251026526e-10,
              -8.888777710666843e-10,
              -1.978469494442783e-10,
              7.417569829219827e-14,
              6.900030273922117e-10,
              -4.96164534085405e-13,
              6.895810385564183e-10,
              -1.463772029607232e-12,
              6.881172665268109e-10,
              -1.4497830659868596e-12,
              -4.680991840344179e-15,
              -1.454464057827204e-12
            ],
            [
              -4.219616441394795e-16,
              6.325479732186349e-16,
              -5.707239640269466e-22,
              -4.219619295014595e-16,
              6.325476878566529e-16,
              2.105551426571074e-16,
              3.0615698085061187e-20,
              2.1058575835519327e-16,
              -5.945522647087859e-14,
              -5.924464071252341e-14,
              5.447385728952102e-20,
              9.55409063300132e-17,
              9.55953801873028e-17,
              -2.2167223969802753e-10,
              -2.2216872722014372e-10,
              -2.2167181910660755e-10,
              3.0535969925909804e-16,
              -2.485390035775272e-13,
              7.447211659943073e-13,
              4.964875221160613e-13,
              7.078872001721153e-15,
              5.035663941177818e-13,
              -4.2059141992966017e-16,
              -1.8005857169070022e-16,
              -6.0064999162035985e-16
            ],
            [
              -1.1088873201401482e-19,
              -5.707239640269466e-22,
              7.489586711225602e-26,
              -1.1088869456608121e-19,
              -5.706865160933908e-22,
              -1.1146066386772967e-19,
              1.2827855549956224e-24,
              -1.1145938108217458e-19,
              -6.255697277105569e-19,
              -7.370291087927305e-19,
              1.4601053418885346e-22,
              1.0268171400691216e-21,
              1.1728276742579769e-21,
              -1.7710521929789632e-16,
              -1.1107464885432562e-16,
              -1.7727902855121839e-16,
              -4.1669288464766927e-20,
              -6.53183761964749e-17,
              -6.705249586301684e-19,
              -6.603057044357054e-17,
              3.2787854320086893e-19,
              -6.570269190036968e-17,
              1.7380925332210455e-19,
              5.011282404731371e-22,
              1.7431038156257761e-19
            ],
            [
              1.1713849595456936e-12,
              -4.219619295014595e-16,
              -1.1088869456608121e-19,
              1.1713849041013465e-12,
              -4.2201737384874417e-16,
              1.1709673140814601e-12,
              -4.427353962817226e-18,
              1.1709628867274977e-12,
              1.524075826074717e-12,
              2.695038712802213e-12,
              -1.2314797884245214e-15,
              -3.580253641204121e-15,
              -4.8117334296286405e-15,
              -1.9929682106287585e-10,
              -8.888778266040087e-10,
              -1.9784703808379317e-10,
              7.4175677457554e-14,
              6.900029947330235e-10,
              -4.961648693478814e-13,
              6.895810055411327e-10,
              -1.4637718656679598e-12,
              6.881172336754649e-10,
              -1.4497829790822327e-12,
              -4.68099158978006e-15,
              -1.4544639706720126e-12
            ],
            [
              -4.2201708850548895e-16,
              6.325476878566529e-16,
              -5.706865160933908e-22,
              -4.2201737384874417e-16,
              6.325474025133946e-16,
              2.104994123251706e-16,
              3.061633947783869e-20,
              2.1053002866465012e-16,
              -5.945553925574249e-14,
              -5.924500922707784e-14,
              5.45468625566171e-20,
              9.554141973858324e-17,
              9.559596660113988e-17,
              -2.216723282506372e-10,
              -2.2216878275746806e-10,
              -2.216719077461218e-10,
              3.0533886461486564e-16,
              -2.485716627656265e-13,
              7.447208307318282e-13,
              4.964545068308372e-13,
              7.079035940992755e-15,
              5.03533542771831e-13,
              -4.205045153029964e-16,
              -1.8005832112658004e-16,
              -6.005628364295755e-16
            ],
            [
              1.1709673698117926e-12,
              2.105551426571074e-16,
              -1.1146066386772967e-19,
              1.1709673140814601e-12,
              2.104994123251706e-16,
              1.1711822102820181e-12,
              -4.396788232251677e-18,
              1.1711778134937854e-12,
              1.464633994780913e-12,
              2.635811808274698e-12,
              -1.2314302056012804e-15,
              -3.484742068731576e-15,
              -4.7161722743328594e-15,
              -4.2095503875635095e-10,
              -1.1110350715318952e-09,
              -4.1950482943201504e-10,
              7.448189737571992e-14,
              6.897570309786098e-10,
              2.4851989955820056e-13,
              6.900800327755437e-10,
              -1.456703514978729e-12,
              6.886233292605649e-10,
              -1.4502093243358194e-12,
              -4.861055533103018e-15,
              -1.4550703798689222e-12
            ],
            [
              -4.427354604210005e-18,
              3.0615698085061187e-20,
              1.2827855549956224e-24,
              -4.427353962817226e-18,
              3.061633947783869e-20,
              -4.396788232251677e-18,
              5.060891228237622e-23,
              -4.396737623339388e-18,
              -1.3707961939218803e-17,
              -1.8104699562558193e-17,
              4.9640393148116345e-21,
              2.9847266039647086e-20,
              3.481130535445873e-20,
              -1.4110557160378465e-14,
              -1.153782958059769e-14,
              -1.4116397898661894e-14,
              -8.810535509878737e-19,
              -2.6079083519733542e-15,
              3.606182574356742e-17,
              -2.5727275797807838e-15,
              1.0685251762336114e-17,
              -2.5620423280184458e-15,
              5.840738283418849e-18,
              5.6221963752340966e-21,
              5.8463604797940805e-18
            ],
            [
              1.170962942457188e-12,
              2.1058575835519327e-16,
              -1.1145938108217458e-19,
              1.1709628867274977e-12,
              2.1053002866465012e-16,
              1.1711778134937854e-12,
              -4.396737623339388e-18,
              1.1711734167561628e-12,
              1.4646202868189733e-12,
              2.6357937035751353e-12,
              -1.2314252415619655e-15,
              -3.4847122214655345e-15,
              -4.716137463027501e-15,
              -4.209691493135124e-10,
              -1.1110466093614765e-09,
              -4.195189458299147e-10,
              7.448101632216883e-14,
              6.897544230702579e-10,
              2.4855596138394594e-13,
              6.900774600479643e-10,
              -1.4566928297269676e-12,
              6.886207672182367e-10,
              -1.4502034835975354e-12,
              -4.861049910906643e-15,
              -1.4550645335084422e-12
            ],
            [
              1.5240761388595803e-12,
              -5.945522647087859e-14,
              -6.255697277105569e-19,
              1.524075826074717e-12,
              -5.945553925574249e-14,
              1.464633994780913e-12,
              -1.3707961939218803e-17,
              1.4646202868189733e-12,
              7.390162646291978e-11,
              7.536624674973873e-11,
              -2.1576174647870543e-15,
              -8.59879600858341e-14,
              -8.814557755062119e-14,
              4.5105171771101953e-08,
              4.427715193275681e-08,
              4.510768618686505e-08,
              2.8656519140969033e-13,
              8.977506774453298e-10,
              -7.001740429160518e-11,
              8.280198383451406e-10,
              -5.237590391232341e-12,
              8.227822479539083e-10,
              -2.5144157630989826e-12,
              1.5075931045243828e-14,
              -2.4993398320537387e-12
            ],
            [
              2.6950390813167684e-12,
              -5.924464071252341e-14,
              -7.370291087927305e-19,
              2.695038712802213e-12,
              -5.924500922707784e-14,
              2.635811808274698e-12,
              -1.8104699562558193e-17,
              2.6357937035751353e-12,
              7.536624674973873e-11,
              7.800204045331389e-11,
              -3.3890427063490202e-15,
              -8.947267230729965e-14,
              -9.286171501364874e-14,
              4.4684202621788454e-08,
              4.316610532339532e-08,
              4.468816724103513e-08,
              3.6104620773185927e-13,
              1.5875051005155868e-09,
              -6.976884833022118e-11,
              1.5180972983931044e-09,
              -6.694283220959307e-12,
              1.511403015172145e-09,
              -3.964619246696519e-12,
              1.021488113433718e-14,
              -3.954404365562181e-12
            ],
            [
              -1.2314798614297886e-15,
              5.447385728952102e-20,
              1.4601053418885346e-22,
              -1.2314797884245214e-15,
              5.45468625566171e-20,
              -1.2314302056012804e-15,
              4.9640393148116345e-21,
              -1.2314252415619655e-15,
              -2.1576174647870543e-15,
              -3.3890427063490202e-15,
              1.534376400845012e-18,
              4.92581396743827e-18,
              6.460190368283277e-18,
              -3.406633617899208e-13,
              3.8476384763893635e-13,
              -3.424720718517249e-13,
              -9.090071655031887e-17,
              -7.254016488706629e-13,
              6.534015835758532e-17,
              -7.254272094288566e-13,
              1.6419307395006044e-15,
              -7.237852786893559e-13,
              1.8087100618041392e-15,
              5.58756739165114e-18,
              1.8142976291957914e-15
            ],
            [
              -3.580254154612688e-15,
              9.55409063300132e-17,
              1.0268171400691216e-21,
              -3.580253641204121e-15,
              9.554141973858324e-17,
              -3.484742068731576e-15,
              2.9847266039647086e-20,
              -3.4847122214655345e-15,
              -8.59879600858341e-14,
              -8.947267230729965e-14,
              4.92581396743827e-18,
              1.3791897493616692e-16,
              1.4284478890360524e-16,
              -5.143746560953791e-11,
              -4.9440523490594925e-11,
              -5.1443207543353853e-11,
              -5.036067482256622e-16,
              -2.1089351263264614e-12,
              1.1249661413163611e-13,
              -1.9969421189430465e-12,
              9.781778083720414e-15,
              -1.9871603408593283e-12,
              5.741933815917231e-15,
              -1.5802389044951694e-17,
              5.7261314268722765e-15
            ],
            [
              -4.811734016042478e-15,
              9.55953801873028e-17,
              1.1728276742579769e-21,
              -4.8117334296286405e-15,
              9.559596660113988e-17,
              -4.7161722743328594e-15,
              3.481130535445873e-20,
              -4.716137463027501e-15,
              -8.814557755062119e-14,
              -9.286171501364874e-14,
              6.460190368283277e-18,
              1.4284478890360524e-16,
              1.4930497927188843e-16,
              -5.177812897132783e-11,
              -4.905575964295593e-11,
              -5.178567961520558e-11,
              -5.945074647759813e-16,
              -2.8343367751971246e-12,
              1.125619542899937e-13,
              -2.722369328371904e-12,
              1.142370882322102e-14,
              -2.7109456195486836e-12,
              7.550643877721368e-15,
              -1.0214821653300548e-17,
              7.540429056068073e-15
            ],
            [
              -1.9929673251026526e-10,
              -2.2167223969802753e-10,
              -1.7710521929789632e-16,
              -1.9929682106287585e-10,
              -2.216723282506372e-10,
              -4.2095503875635095e-10,
              -1.4110557160378465e-14,
              -4.209691493135124e-10,
              4.5105171771101953e-08,
              4.4684202621788454e-08,
              -3.406633617899208e-13,
              -5.143746560953791e-11,
              -5.177812897132783e-11,
              0.000137689432766253,
              0.00013806790139840778,
              0.00013768976132585382,
              1.5633061207025583e-11,
              -1.174042358524895e-07,
              -2.6108002936339524e-07,
              -3.784686321546864e-07,
              -3.96442659631694e-09,
              -3.824330587510031e-07,
              -3.2855960070126866e-10,
              6.288218704223049e-11,
              -2.6567741365903804e-10
            ],
            [
              -8.888777710666843e-10,
              -2.2216872722014372e-10,
              -1.1107464885432562e-16,
              -8.888778266040087e-10,
              -2.2216878275746806e-10,
              -1.1110350715318952e-09,
              -1.153782958059769e-14,
              -1.1110466093614765e-09,
              4.427715193275681e-08,
              4.316610532339532e-08,
              3.8476384763893635e-13,
              -4.9440523490594925e-11,
              -4.905575964295593e-11,
              0.00013806790139840778,
              0.0001388531959657189,
              0.0001380673753638574,
              -2.8445310694691258e-11,
              -5.236011918027786e-07,
              -2.6166493019769386e-07,
              -7.852945673111751e-07,
              -3.110324342192005e-09,
              -7.884048916533673e-07,
              5.260345502334803e-10,
              6.585180789095285e-11,
              5.918863581244338e-10
            ],
            [
              -1.978469494442783e-10,
              -2.2167181910660755e-10,
              -1.7727902855121839e-16,
              -1.9784703808379317e-10,
              -2.216719077461218e-10,
              -4.1950482943201504e-10,
              -1.4116397898661894e-14,
              -4.195189458299147e-10,
              4.510768618686505e-08,
              4.468816724103513e-08,
              -3.424720718517249e-13,
              -5.1443207543353853e-11,
              -5.178567961520558e-11,
              0.00013768976132585382,
              0.0001380673753638574,
              0.0001376900920182441,
              1.574090743982381e-11,
              -1.1655024297618927e-07,
              -2.610795359349937e-07,
              -3.776140380037517e-07,
              -3.966360921479583e-09,
              -3.815803989252313e-07,
              -3.306923904306967e-10,
              6.287546579566223e-11,
              -2.6781692463503454e-10
            ],
            [
              7.417569829219827e-14,
              3.0535969925909804e-16,
              -4.1669288464766927e-20,
              7.4175677457554e-14,
              3.0533886461486564e-16,
              7.448189737571992e-14,
              -8.810535509878737e-19,
              7.448101632216883e-14,
              2.8656519140969033e-13,
              3.6104620773185927e-13,
              -9.090071655031887e-17,
              -5.036067482256622e-16,
              -5.945074647759813e-16,
              1.5633061207025583e-11,
              -2.8445310694691258e-11,
              1.574090743982381e-11,
              2.6650910736681665e-14,
              4.369275901349524e-11,
              3.589619774844352e-13,
              4.407837190171679e-11,
              -2.1182882629875383e-13,
              4.386654307541807e-11,
              -1.0784623279818362e-13,
              -2.9221107346681385e-16,
              -1.0813844387165051e-13
            ],
            [
              6.900030273922117e-10,
              -2.485390035775272e-13,
              -6.53183761964749e-17,
              6.900029947330235e-10,
              -2.485716627656265e-13,
              6.897570309786098e-10,
              -2.6079083519733542e-15,
              6.897544230702579e-10,
              8.977506774453298e-10,
              1.5875051005155868e-09,
              -7.254016488706629e-13,
              -2.1089351263264614e-12,
              -2.8343367751971246e-12,
              -1.174042358524895e-07,
              -5.236011918027786e-07,
              -1.1655024297618927e-07,
              4.369275901349524e-11,
              4.0644550829272633e-07,
              -2.922451014511845e-10,
              4.061969559502885e-07,
              -8.622302465450249e-10,
              4.053347257037432e-07,
              -8.539928763002525e-10,
              -2.757340073543221e-12,
              -8.567502163737958e-10
            ],
            [
              -4.96164534085405e-13,
              7.447211659943073e-13,
              -6.705249586301684e-19,
              -4.961648693478814e-13,
              7.447208307318282e-13,
              2.4851989955820056e-13,
              3.606182574356742e-17,
              2.4855596138394594e-13,
              -7.001740429160518e-11,
              -6.976884833022118e-11,
              6.534015835758532e-17,
              1.1249661413163611e-13,
              1.125619542899937e-13,
              -2.6108002936339524e-07,
              -2.6166493019769386e-07,
              -2.610795359349937e-07,
              3.589619774844352e-13,
              -2.922451014511845e-10,
              8.767869737722573e-10,
              5.849008342985823e-10,
              8.339821246388517e-12,
              5.932406555449709e-10,
              -4.93428401697188e-13,
              -2.1198856410564604e-13,
              -7.054169658028333e-13
            ],
            [
              6.895810385564183e-10,
              4.964875221160613e-13,
              -6.603057044357054e-17,
              6.895810055411327e-10,
              4.964545068308372e-13,
              6.900800327755437e-10,
              -2.5727275797807838e-15,
              6.900774600479643e-10,
              8.280198383451406e-10,
              1.5180972983931044e-09,
              -7.254272094288566e-13,
              -1.9969421189430465e-12,
              -2.722369328371904e-12,
              -3.784686321546864e-07,
              -7.852945673111751e-07,
              -3.776140380037517e-07,
              4.407837190171679e-11,
              4.061969559502885e-07,
              5.849008342985823e-10,
              4.068259351564888e-07,
              -8.541022541249348e-10,
              4.059718329023636e-07,
              -8.545941509347488e-10,
              -2.9696208487223393e-12,
              -8.575637717834714e-10
            ],
            [
              -1.463772029607232e-12,
              7.078872001721153e-15,
              3.2787854320086893e-19,
              -1.4637718656679598e-12,
              7.079035940992755e-15,
              -1.456703514978729e-12,
              1.0685251762336114e-17,
              -1.4566928297269676e-12,
              -5.237590391232341e-12,
              -6.694283220959307e-12,
              1.6419307395006044e-15,
              9.781778083720414e-15,
              1.142370882322102e-14,
              -3.96442659631694e-09,
              -3.110324342192005e-09,
              -3.966360921479583e-09,
              -2.1182882629875383e-13,
              -8.622302465450249e-10,
              8.339821246388517e-12,
              -8.541022541249348e-10,
              3.4494085690296498e-12,
              -8.506528455559053e-10,
              1.934325162645452e-12,
              2.6934884307540222e-15,
              1.937018651076206e-12
            ],
            [
              6.881172665268109e-10,
              5.035663941177818e-13,
              -6.570269190036968e-17,
              6.881172336754649e-10,
              5.03533542771831e-13,
              6.886233292605649e-10,
              -2.5620423280184458e-15,
              6.886207672182367e-10,
              8.227822479539083e-10,
              1.511403015172145e-09,
              -7.237852786893559e-13,
              -1.9871603408593283e-12,
              -2.7109456195486836e-12,
              -3.824330587510031e-07,
              -7.884048916533673e-07,
              -3.815803989252313e-07,
              4.386654307541807e-11,
              4.053347257037432e-07,
              5.932406555449709e-10,
              4.059718329023636e-07,
              -8.506528455559053e-10,
              4.0512118005680754e-07,
              -8.526598257721031e-10,
              -2.966927360291585e-12,
              -8.556267531323948e-10
            ],
            [
              -1.4497830659868596e-12,
              -4.2059141992966017e-16,
              1.7380925332210455e-19,
              -1.4497829790822327e-12,
              -4.205045153029964e-16,
              -1.4502093243358194e-12,
              5.840738283418849e-18,
              -1.4502034835975354e-12,
              -2.5144157630989826e-12,
              -3.964619246696519e-12,
              1.8087100618041392e-15,
              5.741933815917231e-15,
              7.550643877721368e-15,
              -3.2855960070126866e-10,
              5.260345502334803e-10,
              -3.306923904306967e-10,
              -1.0784623279818362e-13,
              -8.539928763002525e-10,
              -4.93428401697188e-13,
              -8.545941509347488e-10,
              1.934325162645452e-12,
              -8.526598257721031e-10,
              2.1327897294278418e-12,
              6.721246568249569e-15,
              2.1395109759960917e-12
            ],
            [
              -4.680991840344179e-15,
              -1.8005857169070022e-16,
              5.011282404731371e-22,
              -4.68099158978006e-15,
              -1.8005832112658004e-16,
              -4.861055533103018e-15,
              5.6221963752340966e-21,
              -4.861049910906643e-15,
              1.5075931045243828e-14,
              1.021488113433718e-14,
              5.58756739165114e-18,
              -1.5802389044951694e-17,
              -1.0214821653300548e-17,
              6.288218704223049e-11,
              6.585180789095285e-11,
              6.287546579566223e-11,
              -2.9221107346681385e-16,
              -2.757340073543221e-12,
              -2.1198856410564604e-13,
              -2.9696208487223393e-12,
              2.6934884307540222e-15,
              -2.966927360291585e-12,
              6.721246568249569e-15,
              7.59944814710717e-17,
              6.7972410497206444e-15
            ],
            [
              -1.454464057827204e-12,
              -6.0064999162035985e-16,
              1.7431038156257761e-19,
              -1.4544639706720126e-12,
              -6.005628364295755e-16,
              -1.4550703798689222e-12,
              5.8463604797940805e-18,
              -1.4550645335084422e-12,
              -2.4993398320537387e-12,
              -3.954404365562181e-12,
              1.8142976291957914e-15,
              5.7261314268722765e-15,
              7.540429056068073e-15,
              -2.6567741365903804e-10,
              5.918863581244338e-10,
              -2.6781692463503454e-10,
              -1.0813844387165051e-13,
              -8.567502163737958e-10,
              -7.054169658028333e-13,
              -8.575637717834714e-10,
              1.937018651076206e-12,
              -8.556267531323948e-10,
              2.1395109759960917e-12,
              6.7972410497206444e-15,
              2.146308217045812e-12
            ]
          ]
        },
        "local_native_velocity_error": {
          "J": 2.5637184019225433e-08,
          "Q": -5.188135199446433e-11
        }
      }
    ],
    "tails": [
      {
        "left": 0.0,
        "right": 16384.0,
        "gain": 0.0007145513758007585,
        "statistics": {
          "columns": [
            "mixed_CE",
            "hidden_CE",
            "CE_interaction",
            "mixed_Shapley",
            "hidden_Shapley",
            "J_CE_same_error",
            "J_CE_path_remainder",
            "J_CE_actual_minus_prediction",
            "Q_CE_same_error",
            "Q_CE_path_remainder",
            "Q_CE_actual_minus_prediction"
          ],
          "mean": [
            -6.535829047341003e-06,
            5.7692662368814375e-08,
            3.440906022143759e-13,
            -6.535828875295702e-06,
            5.769283441411552e-08,
            -6.478136040881585e-06,
            -4.786359302137788e-06,
            -1.1264495343019372e-05,
            6.5476325286893645e-09,
            6.728939691417117e-09,
            1.3276572220106487e-08
          ],
          "doc_SD": [
            1.0823054166870182e-06,
            2.5150506420719147e-08,
            2.7367109294234205e-13,
            1.0823053654590034e-06,
            2.515049507491641e-08,
            1.0822076587957428e-06,
            8.596605519792087e-06,
            8.831876383493708e-06,
            1.2386994796337859e-09,
            1.1743890962375585e-08,
            1.2219041667491294e-08
          ],
          "doc_RMS": [
            6.624144843345958e-06,
            6.289713414281987e-08,
            4.3898642995278737e-13,
            6.624144665289785e-06,
            6.28972874507781e-08,
            6.567211751467031e-06,
            9.809867755242123e-06,
            1.4292708100467789e-05,
            6.662873315317086e-09,
            1.3495188487576111e-08,
            1.80112715830124e-08
          ],
          "positive_doc_gross": [
            0.0,
            5.7735743571883396e-08,
            3.4598397786155603e-13,
            0.0,
            5.773591313931427e-08,
            0.0,
            1.550679533106365e-06,
            2.968584549991591e-07,
            6.5476325286893645e-09,
            8.767481350873636e-09,
            1.4128982227270177e-08
          ],
          "negative_doc_gross": [
            6.535829047341003e-06,
            4.308120306902316e-11,
            1.8933756471800613e-15,
            6.535828875295702e-06,
            4.3078725198752834e-11,
            6.478136040881585e-06,
            6.337038835244152e-06,
            1.1561353798018529e-05,
            0.0,
            2.0385416594565165e-09,
            8.524100071636928e-10
          ],
          "negative_doc_fraction": [
            1.0,
            0.015625,
            0.0234375,
            1.0,
            0.015625,
            1.0,
            0.671875,
            0.9140625,
            0.0,
            0.2890625,
            0.1171875
          ],
          "doc_covariance": [
            [
              1.1713850149900599e-12,
              -4.219616441394795e-16,
              -1.1088873201401482e-19,
              1.1713849595456936e-12,
              -4.2201708850548895e-16,
              1.170962942457188e-12,
              1.5240761388595803e-12,
              2.6950390813167684e-12,
              -1.2314798614297886e-15,
              -3.580254154612688e-15,
              -4.811734016042478e-15
            ],
            [
              -4.219616441394795e-16,
              6.325479732186349e-16,
              -5.707239640269466e-22,
              -4.219619295014595e-16,
              6.325476878566529e-16,
              2.1058575835519327e-16,
              -5.945522647087859e-14,
              -5.924464071252341e-14,
              5.447385728952102e-20,
              9.55409063300132e-17,
              9.55953801873028e-17
            ],
            [
              -1.1088873201401482e-19,
              -5.707239640269466e-22,
              7.489586711225602e-26,
              -1.1088869456608121e-19,
              -5.706865160933908e-22,
              -1.1145938108217458e-19,
              -6.255697277105569e-19,
              -7.370291087927305e-19,
              1.4601053418885346e-22,
              1.0268171400691216e-21,
              1.1728276742579769e-21
            ],
            [
              1.1713849595456936e-12,
              -4.219619295014595e-16,
              -1.1088869456608121e-19,
              1.1713849041013465e-12,
              -4.2201737384874417e-16,
              1.1709628867274977e-12,
              1.524075826074717e-12,
              2.695038712802213e-12,
              -1.2314797884245214e-15,
              -3.580253641204121e-15,
              -4.8117334296286405e-15
            ],
            [
              -4.2201708850548895e-16,
              6.325476878566529e-16,
              -5.706865160933908e-22,
              -4.2201737384874417e-16,
              6.325474025133946e-16,
              2.1053002866465012e-16,
              -5.945553925574249e-14,
              -5.924500922707784e-14,
              5.45468625566171e-20,
              9.554141973858324e-17,
              9.559596660113988e-17
            ],
            [
              1.170962942457188e-12,
              2.1058575835519327e-16,
              -1.1145938108217458e-19,
              1.1709628867274977e-12,
              2.1053002866465012e-16,
              1.1711734167561628e-12,
              1.4646202868189733e-12,
              2.6357937035751353e-12,
              -1.2314252415619655e-15,
              -3.4847122214655345e-15,
              -4.716137463027501e-15
            ],
            [
              1.5240761388595803e-12,
              -5.945522647087859e-14,
              -6.255697277105569e-19,
              1.524075826074717e-12,
              -5.945553925574249e-14,
              1.4646202868189733e-12,
              7.390162646291978e-11,
              7.536624674973873e-11,
              -2.1576174647870543e-15,
              -8.59879600858341e-14,
              -8.814557755062119e-14
            ],
            [
              2.6950390813167684e-12,
              -5.924464071252341e-14,
              -7.370291087927305e-19,
              2.695038712802213e-12,
              -5.924500922707784e-14,
              2.6357937035751353e-12,
              7.536624674973873e-11,
              7.800204045331389e-11,
              -3.3890427063490202e-15,
              -8.947267230729965e-14,
              -9.286171501364874e-14
            ],
            [
              -1.2314798614297886e-15,
              5.447385728952102e-20,
              1.4601053418885346e-22,
              -1.2314797884245214e-15,
              5.45468625566171e-20,
              -1.2314252415619655e-15,
              -2.1576174647870543e-15,
              -3.3890427063490202e-15,
              1.534376400845012e-18,
              4.92581396743827e-18,
              6.460190368283277e-18
            ],
            [
              -3.580254154612688e-15,
              9.55409063300132e-17,
              1.0268171400691216e-21,
              -3.580253641204121e-15,
              9.554141973858324e-17,
              -3.4847122214655345e-15,
              -8.59879600858341e-14,
              -8.947267230729965e-14,
              4.92581396743827e-18,
              1.3791897493616692e-16,
              1.4284478890360524e-16
            ],
            [
              -4.811734016042478e-15,
              9.55953801873028e-17,
              1.1728276742579769e-21,
              -4.8117334296286405e-15,
              9.559596660113988e-17,
              -4.716137463027501e-15,
              -8.814557755062119e-14,
              -9.286171501364874e-14,
              6.460190368283277e-18,
              1.4284478890360524e-16,
              1.4930497927188843e-16
            ]
          ]
        },
        "interpretation": "Positive endpoint-error difference means frozen prediction overstates gain; source work not measured"
      },
      {
        "left": 4096.0,
        "right": 8192.0,
        "gain": 6.52593532650344e-06,
        "statistics": {
          "columns": [
            "mixed_CE",
            "hidden_CE",
            "CE_interaction",
            "mixed_Shapley",
            "hidden_Shapley",
            "J_CE_same_error",
            "J_CE_path_remainder",
            "J_CE_actual_minus_prediction",
            "Q_CE_same_error",
            "Q_CE_path_remainder",
            "Q_CE_actual_minus_prediction"
          ],
          "mean": [
            -1.635328800521915e-06,
            1.0832461445113862e-08,
            3.752055649830955e-14,
            -1.635328781761636e-06,
            1.0832480205392109e-08,
            -1.6244963015562439e-06,
            -1.2104501038650568e-06,
            -2.8349464054213013e-06,
            1.232628414039752e-09,
            1.2820113136994998e-09,
            2.5146397277392523e-09
          ],
          "doc_SD": [
            2.7080857472082333e-07,
            4.721005790986034e-09,
            2.969634168875647e-14,
            2.7080856916045745e-07,
            4.721004537849773e-09,
            2.7077636574825487e-07,
            2.1695539399040017e-06,
            2.2283522161396724e-06,
            2.3161832020402667e-10,
            2.2029120475916914e-09,
            2.2924530409430274e-09
          ],
          "doc_RMS": [
            1.657427109234794e-06,
            1.1809148676065244e-08,
            4.777839720097067e-14,
            1.657427089823229e-06,
            1.1809165387700354e-08,
            1.646734727503435e-06,
            2.476970042919489e-06,
            3.600511259986863e-06,
            1.2540337857503797e-09,
            2.5413503949656384e-09,
            3.3967184979213722e-09
          ],
          "positive_doc_gross": [
            0.0,
            1.084048506530372e-08,
            3.773125263800343e-14,
            0.0,
            1.0840503554906695e-08,
            0.0,
            3.909819914136788e-07,
            7.642570173309571e-08,
            1.232628414039752e-09,
            1.6584145782056256e-09,
            2.6715316417111973e-09
          ],
          "negative_doc_gross": [
            1.635328800521915e-06,
            8.023620189857602e-12,
            2.1069613969388354e-16,
            1.635328781761636e-06,
            8.023349514586196e-12,
            1.6244963015562439e-06,
            1.6014320952787356e-06,
            2.9113721071543967e-06,
            0.0,
            3.764032645061263e-10,
            1.5689191397194497e-10
          ],
          "negative_doc_fraction": [
            1.0,
            0.015625,
            0.0234375,
            1.0,
            0.015625,
            1.0,
            0.671875,
            0.9140625,
            0.0,
            0.2890625,
            0.1171875
          ],
          "doc_covariance": [
            [
              7.333728414232375e-14,
              -1.986287166316231e-17,
              -3.0115897313053596e-21,
              7.333728263652889e-14,
              -1.9864377458027927e-17,
              7.331741825907085e-14,
              9.547286301936643e-14,
              1.6879028127843725e-13,
              -5.767430430873343e-17,
              -1.6818751559353397e-16,
              -2.258618199022674e-16
            ],
            [
              -1.986287166316231e-17,
              2.2287895678523674e-17,
              -1.1832345999803193e-23,
              -1.9862877579335298e-17,
              2.2287889762350674e-17,
              2.4250121830154043e-18,
              -2.8381155587523566e-15,
              -2.8356905465693418e-15,
              1.3929350557878026e-20,
              3.3854441993923647e-18,
              3.3993735499502446e-18
            ],
            [
              -3.0115897313053596e-21,
              -1.1832345999803193e-23,
              8.818727096953754e-28,
              -3.0115892903690072e-21,
              -1.1831905063448345e-23,
              -3.0234211954324538e-21,
              -1.707372246046969e-20,
              -2.009714365590215e-20,
              2.9345824082193637e-24,
              2.0815932653904578e-23,
              2.3750515062123957e-23
            ],
            [
              7.333728263652889e-14,
              -1.9862877579335298e-17,
              -3.0115892903690072e-21,
              7.333728113073425e-14,
              -1.9864383373980396e-17,
              7.331741674736032e-14,
              9.547285448250522e-14,
              1.687902712298655e-13,
              -5.767430284144224e-17,
              -1.6818750518556763e-16,
              -2.2586180802700987e-16
            ],
            [
              -1.9864377458027927e-17,
              2.2287889762350674e-17,
              -1.1831905063448345e-23,
              -1.9864383373980396e-17,
              2.2287883846398143e-17,
              2.4235004724177554e-18,
              -2.838124095613587e-15,
              -2.8357005951411692e-15,
              1.3930817849082094e-20,
              3.385454607358693e-18,
              3.3993854252077747e-18
            ],
            [
              7.331741825907085e-14,
              2.4250121830154043e-18,
              -3.0234211954324538e-21,
              7.331741674736032e-14,
              2.4235004724177554e-18,
              7.331984024783268e-14,
              9.263473038689162e-14,
              1.6595457063472441e-13,
              -5.766037202359313e-17,
              -1.6480205057820897e-16,
              -2.224624226018021e-16
            ],
            [
              9.547286301936643e-14,
              -2.8381155587523566e-15,
              -1.707372246046969e-20,
              9.547285448250522e-14,
              -2.838124095613587e-15,
              9.263473038689162e-14,
              4.706964298152976e-12,
              4.799599028539866e-12,
              -1.0211445653417721e-16,
              -4.0788400302726964e-15,
              -4.1809544868068735e-15
            ],
            [
              1.6879028127843725e-13,
              -2.8356905465693418e-15,
              -2.009714365590215e-20,
              1.687902712298655e-13,
              -2.8357005951411692e-15,
              1.6595457063472441e-13,
              4.799599028539866e-12,
              4.965553599174589e-12,
              -1.597748285577703e-16,
              -4.2436420808509065e-15,
              -4.4034169094086744e-15
            ],
            [
              -5.767430430873343e-17,
              1.3929350557878026e-20,
              2.9345824082193637e-24,
              -5.767430284144224e-17,
              1.3930817849082094e-20,
              -5.766037202359313e-17,
              -1.0211445653417721e-16,
              -1.597748285577703e-16,
              5.364704625413503e-20,
              1.7443620462509122e-19,
              2.2808325087922617e-19
            ],
            [
              -1.6818751559353397e-16,
              3.3854441993923647e-18,
              2.0815932653904578e-23,
              -1.6818750518556763e-16,
              3.385454607358693e-18,
              -1.6480205057820897e-16,
              -4.0788400302726964e-15,
              -4.2436420808509065e-15,
              1.7443620462509122e-19,
              4.852821489424618e-18,
              5.027257694049707e-18
            ],
            [
              -2.258618199022674e-16,
              3.3993735499502446e-18,
              2.3750515062123957e-23,
              -2.2586180802700987e-16,
              3.3993854252077747e-18,
              -2.224624226018021e-16,
              -4.1809544868068735e-15,
              -4.4034169094086744e-15,
              2.2808325087922617e-19,
              5.027257694049707e-18,
              5.255340944928932e-18
            ]
          ]
        },
        "interpretation": "Positive endpoint-error difference means frozen prediction overstates gain; source work not measured"
      },
      {
        "left": 8192.0,
        "right": 16384.0,
        "gain": 1.300383853754789e-05,
        "statistics": {
          "columns": [
            "mixed_CE",
            "hidden_CE",
            "CE_interaction",
            "mixed_Shapley",
            "hidden_Shapley",
            "J_CE_same_error",
            "J_CE_path_remainder",
            "J_CE_actual_minus_prediction",
            "Q_CE_same_error",
            "Q_CE_path_remainder",
            "Q_CE_actual_minus_prediction"
          ],
          "mean": [
            -3.2844411467578775e-06,
            4.328434817248952e-08,
            3.0135501955929106e-13,
            -3.2844409960803647e-06,
            4.328449884999931e-08,
            -3.241156497230366e-06,
            -2.3946091957650905e-06,
            -5.635765692995457e-06,
            4.9072555999454335e-09,
            4.993276890702665e-09,
            9.900532490648098e-09
          ],
          "doc_SD": [
            5.438691429215853e-07,
            1.887141254681032e-08,
            2.397480495946488e-13,
            5.43869098044714e-07,
            1.8871402609724977e-08,
            5.439043616215349e-07,
            4.3303130519843225e-06,
            4.445854580719131e-06,
            9.309346768893887e-10,
            8.819747474924436e-09,
            9.175732901265401e-09
          ],
          "doc_RMS": [
            3.3288190703746327e-06,
            4.7189858454457894e-08,
            3.845060720146163e-13,
            3.328818914431079e-06,
            4.7189992718865684e-08,
            3.286124800883908e-06,
            4.9334843028725205e-06,
            7.167500189740235e-06,
            4.99409914556492e-09,
            1.0105099767160884e-08,
            1.3474303383420855e-08
          ],
          "positive_doc_gross": [
            0.0,
            4.3316774315791436e-08,
            3.030106227403526e-13,
            0.0,
            4.3316922824770855e-08,
            0.0,
            7.872550228655651e-07,
            1.539973654114555e-07,
            4.9072555999454335e-09,
            6.542425808958826e-09,
            1.0549731744344927e-08
          ],
          "negative_doc_gross": [
            3.2844411467578775e-06,
            3.2426143301917086e-11,
            1.6556031810615403e-15,
            3.2844409960803647e-06,
            3.242397477154452e-11,
            3.241156497230366e-06,
            3.181864218630657e-06,
            5.789763058406912e-06,
            0.0,
            1.549148918256162e-09,
            6.491992536968265e-10
          ],
          "negative_doc_fraction": [
            1.0,
            0.015625,
            0.0234375,
            1.0,
            0.015625,
            1.0,
            0.671875,
            0.9140625,
            0.0,
            0.2890625,
            0.1171875
          ],
          "doc_covariance": [
            [
              2.9579364462225976e-13,
              -1.5886093207862338e-16,
              -4.881430332174865e-20,
              2.957936202151082e-13,
              -1.5888533923028448e-16,
              2.956347348758779e-13,
              3.8172517942028454e-13,
              6.77359914296162e-13,
              -4.648362987959322e-16,
              -1.3506755204540588e-15,
              -1.8155118192499907e-15
            ],
            [
              -1.5886093207862338e-16,
              3.5613021151191005e-16,
              -3.750679446363173e-22,
              -1.5886111961259628e-16,
              3.5613002397793744e-16,
              1.972689043653422e-16,
              -2.2634968685388683e-14,
              -2.2437699781023333e-14,
              -4.5775380812411295e-20,
              5.3543739617306456e-17,
              5.3497964236494055e-17
            ],
            [
              -4.881430332174865e-20,
              -3.750679446363173e-22,
              5.747912728443817e-26,
              -4.881427458218504e-20,
              -3.7503920507267493e-22,
              -4.9189313787257686e-20,
              -2.7567261124257135e-19,
              -3.248619250298292e-19,
              9.644523440648488e-23,
              6.760599905359681e-22,
              7.725052249424533e-22
            ],
            [
              2.957936202151082e-13,
              -1.5886111961259628e-16,
              -4.881427458218504e-20,
              2.957935958079708e-13,
              -1.5888552674988784e-16,
              2.95634710281221e-13,
              3.8172504158397925e-13,
              6.773597518652001e-13,
              -4.648362505733149e-16,
              -1.3506751824240652e-15,
              -1.815511432997379e-15
            ],
            [
              -1.5888533923028448e-16,
              3.5613002397793744e-16,
              -3.7503920507267493e-22,
              -1.5888552674988784e-16,
              3.561298364583347e-16,
              1.972443097084484e-16,
              -2.26351065216943e-14,
              -2.2437862211985845e-14,
              -4.5727158195207777e-20,
              5.354407764730172e-17,
              5.3498350489106526e-17
            ],
            [
              2.956347348758779e-13,
              1.972689043653422e-16,
              -4.9189313787257686e-20,
              2.95634710281221e-13,
              1.972443097084484e-16,
              2.9583195459092947e-13,
              3.5908993506228475e-13,
              6.549218896532141e-13,
              -4.648819777315103e-16,
              -1.2971311047767629e-15,
              -1.762013082508273e-15
            ],
            [
              3.8172517942028454e-13,
              -2.2634968685388683e-14,
              -2.7567261124257135e-19,
              3.8172504158397925e-13,
              -2.26351065216943e-14,
              3.5908993506228475e-13,
              1.8751611128185778e-11,
              1.9110701063248062e-11,
              -8.071864208673052e-16,
              -3.2488708341825094e-14,
              -3.32958947626924e-14
            ],
            [
              6.77359914296162e-13,
              -2.2437699781023333e-14,
              -3.248619250298292e-19,
              6.773597518652001e-13,
              -2.2437862211985845e-14,
              6.549218896532141e-13,
              1.9110701063248062e-11,
              1.976562295290128e-11,
              -1.2720683985988159e-15,
              -3.378583944660186e-14,
              -3.505790784520067e-14
            ],
            [
              -4.648362987959322e-16,
              -4.5775380812411295e-20,
              9.644523440648488e-23,
              -4.648362505733149e-16,
              -4.5727158195207777e-20,
              -4.648819777315103e-16,
              -8.071864208673052e-16,
              -1.2720683985988159e-15,
              8.666393726351504e-19,
              2.769744690646642e-18,
              3.636384063281792e-18
            ],
            [
              -1.3506755204540588e-15,
              5.3543739617306456e-17,
              6.760599905359681e-22,
              -1.3506751824240652e-15,
              5.354407764730172e-17,
              -1.2971311047767629e-15,
              -3.2488708341825094e-14,
              -3.378583944660186e-14,
              2.769744690646642e-18,
              7.778794552143595e-17,
              8.05576902120826e-17
            ],
            [
              -1.8155118192499907e-15,
              5.3497964236494055e-17,
              7.725052249424533e-22,
              -1.815511432997379e-15,
              5.3498350489106526e-17,
              -1.762013082508273e-15,
              -3.32958947626924e-14,
              -3.505790784520067e-14,
              3.636384063281792e-18,
              8.05576902120826e-17,
              8.419407427536435e-17
            ]
          ]
        },
        "interpretation": "Positive endpoint-error difference means frozen prediction overstates gain; source work not measured"
      }
    ],
    "qualification": {
      "producer_passed": true,
      "independent_passed": true,
      "arithmetic_passed": true
    },
    "new_future": false,
    "GF_qualified": false,
    "scope": "Post-result static decomposition at four known finite-trajectory states; shared last-layer cache and physics"
  },
  "pair_isolation": {
    "geometry": {
      "all": {
        "rows": 229376,
        "tail_probability_quantiles": [
          0.0,
          0.0035998143444553876,
          0.039632437767969486,
          0.17546621549179398,
          0.41536160399397803,
          0.6883892314112966,
          0.9617761383793983
        ],
        "mean_tail_probability": 0.2593954485838937,
        "mean_top2_mass": 0.7406045514161063,
        "raw_gap_quantiles": [
          0.15276423775781448,
          1.0990851582399408,
          4.384751331388589
        ],
        "isolated_fractions": {
          "0.01": 0.14473179408482142,
          "0.05": 0.27667236328125,
          "0.1": 0.38093348911830355,
          "0.25": 0.594024658203125,
          "0.5": 0.8080313546316964
        }
      },
      "near": {
        "rows": 114384,
        "tail_probability_quantiles": [
          4.561747690701168e-08,
          0.04707103553551977,
          0.13934549323689066,
          0.30775569603140207,
          0.5214093774116509,
          0.7564874102491015,
          0.9617761383793983
        ],
        "mean_tail_probability": 0.3507563072485771,
        "mean_top2_mass": 0.649243692751423,
        "raw_gap_quantiles": [
          0.07329152828529079,
          0.4322202943744837,
          1.191645910873006
        ],
        "isolated_fractions": {
          "0.01": 0.030677367463980976,
          "0.05": 0.10518953699818157,
          "0.1": 0.18748251503706811,
          "0.25": 0.4163606798153588,
          "0.5": 0.7298310952580781
        }
      },
      "cold_near": {
        "rows": 102218,
        "tail_probability_quantiles": [
          4.561747690701168e-08,
          0.04138689088408896,
          0.12248354008603729,
          0.2711325333541241,
          0.4443475917911125,
          0.5935051970184064,
          0.9254117245886975
        ],
        "mean_tail_probability": 0.29756623227363077,
        "mean_top2_mass": 0.7024337677263693,
        "raw_gap_quantiles": [
          0.08765147643439104,
          0.4962479199914611,
          1.2368250268326768
        ],
        "isolated_fractions": {
          "0.01": 0.03432859183314094,
          "0.05": 0.1177092097282279,
          "0.1": 0.20978692598172533,
          "0.25": 0.4657594552818486,
          "0.5": 0.8143575495509597
        }
      }
    },
    "scope": "Fixed-b compensated profile; top2/rest probability isolation is not a stock or SGD-work attribution",
    "refined_replay_scope": "1098 independent gradient/mixed/geometry checks on the inward certificate witness; original strict-sphere failure preserved"
  },
  "source_files": [
    {
      "path": "docs/reports/scaling-natural-orders-20261007/final-summary.json",
      "sha256": "4a913e0a5e5997d6e8ebcbc0d61fc760c599e2f445b883b977c064ea3d76d366"
    },
    {
      "path": "docs/reports/scaling-natural-orders-20261007/assessment.json",
      "sha256": "16f7a338c30120d1dcc0d6e606770df0f88cb50bc92ae1f9dd0b8ff551466ea4"
    },
    {
      "path": "analysis/round68_natural_neartie_fixed_20261007/complete-description-20261007.json",
      "sha256": "898860c6fbe1050a07131e4ea81fac6b31e72d7bf4f7ac2f73f29eb76eb1e942"
    },
    {
      "path": "analysis/round66_natural_joint_clock_20261007/assessment.json",
      "sha256": "7a1f0f4318096dcb3e4e4fbd3ded8bbce10b048acaecf7f7e05990125952a06b"
    },
    {
      "path": "analysis/round61_natural_floor_20261006/assessment.json",
      "sha256": "42037f6ac61dcac001930b6a33da8d4f8ac253d938897da88079e454f37cc011"
    },
    {
      "path": "analysis/round69_natural_profile_pair_20261007/certificate-refined-v2-independent-audit-corrected-20261007.json",
      "sha256": "25fc25931177e28dfe68aad81b63d6f4d0edd6e6cfb7996f75a7a7296c5768e9"
    },
    {
      "path": "analysis/round69_natural_profile_pair_20261007/certificate-refined-v2.json",
      "sha256": "169745dc7969bf4d8e633ba9bbf2c6ed7807a14ea6f1748f9418f30cf2ea5426"
    },
    {
      "path": "analysis/round62_natural_nativeclock_20261007/assessment.json",
      "sha256": "5afb3e46284f943d96edb923f451c5d4fba46c8a1bd45184e233e4ca638d0ece"
    },
    {
      "path": "analysis/round63_natural_quadratic_20261007/assessment.json",
      "sha256": "335f6297b91f051eb1bb21cc7125c509fc7e7634d9143dfb1c9ca5686c2a60e3"
    },
    {
      "path": "docs/reports/scaling-joint-ce-20261006/result.json",
      "sha256": "06ce329bda3c0c5d2d663c7c5752c979bd25a5c1a444c9419f41bac948c9d9d3"
    },
    {
      "path": "docs/reports/scaling-joint-ce-20261006/contract.json",
      "sha256": "678aa5bc5459002f16e6378e9e9538bb1d97e1c97b794a8b9342b2fb6628320b"
    },
    {
      "path": "analysis/four_school_synthesis_20261008/r71-evidence-extraction.json",
      "sha256": "c8f70671135851bad72dde85ef27f6dc9d932107a8b31f144842f5fd982f8017"
    },
    {
      "path": "analysis/round71_natural_orders_resolved_20261008/science-evidence-qualified-replay.json",
      "sha256": "8055d05cd16f738ac6a3c5e6a1107d1d44df5c1a580a5c72795962455ec5ad56"
    },
    {
      "path": "analysis/round67_natural_native_prox_20261007/fresh-readout-harvest-20261008/ledger/actual_1/assessment.json",
      "sha256": "f97516dd5ece261673efbbb3ad10e1bf509f77b7f53c42b5468fc709f44adf1d"
    },
    {
      "path": "analysis/round67_natural_native_prox_20261007/fresh-readout-harvest-20261008/ledger/actual_2/assessment.json",
      "sha256": "cb71c6caefc8cf31e7642d26e5d9145d13f7b731860c2b6b8b8e4ed952c8ac8a"
    },
    {
      "path": "analysis/round67_natural_native_prox_20261007/all-actual-cpu-audit-20261008/run2/result.json",
      "sha256": "40853bfcabda62000699432f5ca981ef65d9eb2a8364a2079bf630677ab7090d"
    },
    {
      "path": "analysis/round67_natural_value_profile_20261008/natural-small-harvest-20261008/stock.json",
      "sha256": "54d46a9bef76a6aa46f48fb33369642aee3777a64b1324bb186f9c00ef149214"
    },
    {
      "path": "analysis/round67_natural_native_prox_20261007/finite-stock-independent-audit-20261008/value-run3/result.json",
      "sha256": "e8fb9562a8304c484e9afe4e738d9de98f85363c0c59de90dd033b08f1b35aea"
    },
    {
      "path": "analysis/round72_natural_same_state_20261008/natural-harvest-20261008/saved-arithmetic-summary.json",
      "sha256": "1b38ea670757ff7ecbafc75ec562f55f4a29c99083c76bd510a4fec72c9db7aa"
    },
    {
      "path": "analysis/round69_natural_profile_pair_20261007/pair-isolation-static-result-20261007.json",
      "sha256": "a35385215e6de81dbab9ca69ab16dc22d4d1801e6ccb0687c10c869ffad7347b"
    },
    {
      "path": "analysis/round69_natural_profile_pair_20261007/refined-completion-harvest-20261007/refined-replay-20261007/certificate-ad.json",
      "sha256": "3d884271fdadbb8119a0c460c6b49db35060ed8b36ddaf9cf5ffb0751bf9ab60"
    },
    {
      "path": "notes/round15-theorem-and-ghiii-results-20261004.md",
      "sha256": "51bbfcf233f6266e119f0ea39801c72107dd7d6f65eaee811e60052c97776ceb"
    },
    {
      "path": "notes/round18-boundary-observability-results-20261005.md",
      "sha256": "c7fb9e302a0b5fb73146c045886390f42ff173feb1dd29b64ad362b27faf9b54"
    },
    {
      "path": "notes/round32-crossover-results-20261005.md",
      "sha256": "2e273d4aa3e723e540171e2adef1c68a2b5af173a1e5ef511a373d485d0afe8f"
    },
    {
      "path": "notes/round33-fixed-architecture-results-20261006.md",
      "sha256": "6e59b955f2d3a7293df304173dae83eb9e7ab260fe2a5e590ce591a68bfca545"
    },
    {
      "path": "notes/round43-controlled-time-results-20261006.md",
      "sha256": "324379e232a81cdfe11afbc625b6570e1c9867dac52e5fe5ddf7f06a078a93d1"
    },
    {
      "path": "notes/round47-resolution-asymptotic-scope-20261006.md",
      "sha256": "60ad88d1f55917e66af83c7b7890c5829880c2dd2e5dec401319ed5dea7f9d46"
    },
    {
      "path": "notes/round65-resolution-original-premises-audit-20261007.md",
      "sha256": "fd7bf97c9ad28794ee40c2c18dcb38bee6063ca96ee35899c634b3c4f56dabd6"
    },
    {
      "path": "notes/round65-four-school-common-contract-20261007.md",
      "sha256": "dd19d4c255f034a0e05a8ae16b940431b30c1c8ba2f94d0ab51cd40a701e844a"
    },
    {
      "path": "notes/round66-natural-joint-clock-results-20261007.md",
      "sha256": "740a964117286a496cb5003fdbf7c2c63469727ea662474dd0381ef453b65759"
    },
    {
      "path": "notes/round68-natural-neartie-complete-results-20261007.md",
      "sha256": "a3986f3245c92ddaf777132cead14840a1eedfa21b0bc790368a2b530ad620f9"
    },
    {
      "path": "notes/round69-natural-profile-pair-readout-results-20261007.md",
      "sha256": "40099671b1833137051e9c1bed96864c525a40b9f18fb0794e4e138d16f6a625"
    },
    {
      "path": "notes/round69-profile-derivative-qualification-20261007.md",
      "sha256": "e12ac88a89f142a43788ed63fec9c2b51360338531dc4e58d7b70bcd34b90211"
    },
    {
      "path": "notes/round16-exact-mechanism-overlap-20261004.md",
      "sha256": "e0850474f45028b65bef6fdc63407d689c21889e90aa1e7a647b9ede26ee7dc7"
    },
    {
      "path": "notes/round70-refined-profile-replay-20261007.md",
      "sha256": "99e23b88c128f9537894a258ab79f118366d6790ae6c9c08061b8f2ec6b39f43"
    },
    {
      "path": "notes/round70-transverse-independent-replay-failure-20261007.md",
      "sha256": "4171a81781d258e33f0cdf1f96cb5d304f20bdfa4bfeb32c3de5ded1bd7cae7b"
    },
    {
      "path": "notes/round71-natural-resolved-orders-results-20261008.md",
      "sha256": "1ba867e61e95e7e458450ddccbd9a84997c25d352432b44538ca1556f4a1711c"
    },
    {
      "path": "notes/round71-science-audit-20261008.md",
      "sha256": "7f26b81914cac724d00a8b2a7df15839486736f9272c11a2d36ca7653ff7e6b1"
    },
    {
      "path": "notes/round67-late-natural-results-20261008.md",
      "sha256": "b58654340d8183106686dfbfba089f98511cb78d654ac0576b6032f3409cea3e"
    },
    {
      "path": "notes/round67-value-stock-results-20261008.md",
      "sha256": "6cb9d3e52faa6f2d23d1da88c69adcdc42cb0378e06f0cc985554bd0fabb64f1"
    },
    {
      "path": "notes/round67-value-stock-independent-results-20261008.md",
      "sha256": "79d033f70c0fcc14657209a9800a1b3f7b4b40e2f0ac01e5c7e5a943b647989a"
    },
    {
      "path": "notes/round67-stock-science-review-20261008.md",
      "sha256": "7e4a5fb73a9c8771461f097459ba37dc9ed3915c7b12526b493f148524a5552a"
    },
    {
      "path": "notes/round72-same-state-results-20261008.md",
      "sha256": "cf26dee8b4220b8102356d2eb9d88b3f6bb572f62f22129da35fd79662e49736"
    },
    {
      "path": "notes/four-school-synthesis-after-r71-20261008.md",
      "sha256": "d2510fbafbbca7c0fc0894388c3ac4aa7062114e04bd825f283665cb5e85178c"
    },
    {
      "path": "notes/natural-mainline-synthesis-20261008.md",
      "sha256": "89bd62aae6ccabd31e627cf8412f98df366116793969773a3e9f06ae695dd648"
    },
    {
      "path": "docs/reports/scaling-natural-orders-results-20261007.md",
      "sha256": "b29ef2991d52b2c2d6679bdc26d62a1661e974329cbda628bd1ccf6efdcc02a7"
    },
    {
      "path": "paper/rgi-followup/docs/reports/rgi-followup.md",
      "sha256": "9b1b3c7bfa38c0679c7fed1ea0c12c9ecf4bf88c1a08f1d689c78904acc4e0ae"
    }
  ]
}
