{
  "model": "rho=N(0,1/a), A=x^2, a: 0.5 -> 2.0",
  "predictions": [
    "covariance response is -1/a^2",
    "the analytic control has zero continuity residual",
    "uncontrolled tracking error scales O(v), controlled error O(v^2) near the adiabatic regime"
  ],
  "covariance_check": [
    [
      0.5,
      -3.9871526992193798,
      -4.0,
      0.012847300780620241
    ],
    [
      1.0,
      -1.0002951529488422,
      -1.0,
      0.00029515294884219223
    ],
    [
      2.0,
      -0.24534443841153156,
      -0.25,
      0.004655561588468443
    ]
  ],
  "simulation_rates_v_signed_uncontrolled_controlled_rms_uncontrolled_controlled": [
    [
      0.01,
      0.00962147835936007,
      -0.0007098062645957904,
      0.020451173465441588,
      0.014986637919263206
    ],
    [
      0.02,
      0.009385008410011116,
      -0.00028318234032644887,
      0.020154187093442646,
      0.013776438915776238
    ],
    [
      0.04,
      0.021855687854276162,
      -0.0026494772449950155,
      0.04110202777076009,
      0.01335863647190457
    ],
    [
      0.08,
      0.044186504924495836,
      -0.003319084181386092,
      0.07028298796517304,
      0.017151952229458815
    ],
    [
      0.16,
      0.08668932507030536,
      -0.0023688075932514216,
      0.1247040260266154,
      0.01740533720376724
    ]
  ],
  "deterministic_rates_v_mean_uncontrolled_controlled_rms_uncontrolled_controlled": [
    [
      0.01,
      0.006235189170963116,
      4.887035256074354e-05,
      0.010078373191506125,
      6.347766148940016e-05
    ],
    [
      0.02,
      0.01234918203981609,
      9.534583037082511e-05,
      0.019615737529575957,
      0.00012196367859789539
    ],
    [
      0.04,
      0.02425551463715735,
      0.00018193223213535932,
      0.03739502744188129,
      0.00022678896657436673
    ],
    [
      0.08,
      0.04698653331714703,
      0.0003336098481629341,
      0.06911805762898697,
      0.0003997386718717178
    ],
    [
      0.16,
      0.0890829793003938,
      0.0005698327440922858,
      0.12259514479753833,
      0.000647819345088905
    ]
  ],
  "deterministic_loglog_rms_slope_uncontrolled": 0.9026185405647896,
  "deterministic_loglog_rms_slope_controlled": 0.8415146909746575,
  "continuity_residual_rms": 1.358200270478183e-17,
  "fastest_rate_controlled_to_uncontrolled_rms_ratio": 0.0052842169741612235
}