{
 "step1": {
  "n": 5,
  "h": "1/6",
  "A": [
   [
    "72",
    "-36",
    "0",
    "0",
    "0"
   ],
   [
    "-36",
    "72",
    "-36",
    "0",
    "0"
   ],
   [
    "0",
    "-36",
    "72",
    "-36",
    "0"
   ],
   [
    "0",
    "0",
    "-36",
    "72",
    "-36"
   ],
   [
    "0",
    "0",
    "0",
    "-36",
    "72"
   ]
  ],
  "Sigma": [
   [
    "5/216",
    "1/54",
    "1/72",
    "1/108",
    "1/216"
   ],
   [
    "1/54",
    "1/27",
    "1/36",
    "1/54",
    "1/108"
   ],
   [
    "1/72",
    "1/36",
    "1/24",
    "1/36",
    "1/72"
   ],
   [
    "1/108",
    "1/54",
    "1/36",
    "1/27",
    "1/54"
   ],
   [
    "1/216",
    "1/108",
    "1/72",
    "1/54",
    "5/216"
   ]
  ]
 },
 "step2": {
  "B": [
   [
    "0",
    "1/2",
    "0",
    "0",
    "0"
   ],
   [
    "1/2",
    "0",
    "1/2",
    "0",
    "0"
   ],
   [
    "0",
    "1/2",
    "0",
    "1/2",
    "0"
   ],
   [
    "0",
    "0",
    "1/2",
    "0",
    "1/2"
   ],
   [
    "0",
    "0",
    "0",
    "1/2",
    "0"
   ]
  ],
  "D2_diag": [
   "72",
   "72",
   "72",
   "72",
   "72"
  ],
  "row3_coeffs": [
   "0",
   "1/2",
   "0",
   "1/2",
   "0"
  ],
  "row3_cond_var": "1/72"
 },
 "step3": {
  "phiL2R": [
   [
    "0",
    "0",
    "0",
    "0",
    "0"
   ],
   [
    "4/5",
    "0",
    "0",
    "0",
    "0"
   ],
   [
    "0",
    "3/4",
    "0",
    "0",
    "0"
   ],
   [
    "0",
    "0",
    "2/3",
    "0",
    "0"
   ],
   [
    "0",
    "0",
    "0",
    "1/2",
    "0"
   ]
  ],
  "d2": [
   "5/216",
   "1/45",
   "1/48",
   "1/54",
   "1/72"
  ],
  "phiR2L": [
   [
    "0",
    "1/2",
    "0",
    "0",
    "0"
   ],
   [
    "0",
    "0",
    "2/3",
    "0",
    "0"
   ],
   [
    "0",
    "0",
    "0",
    "3/4",
    "0"
   ],
   [
    "0",
    "0",
    "0",
    "0",
    "4/5"
   ],
   [
    "0",
    "0",
    "0",
    "0",
    "0"
   ]
  ],
  "dR2": [
   "1/72",
   "1/54",
   "1/48",
   "1/45",
   "5/216"
  ]
 },
 "step4": {
  "b": [
   "0",
   "0",
   "1",
   "0",
   "0"
  ],
  "x_star": [
   "1/72",
   "1/36",
   "1/24",
   "1/36",
   "1/72"
  ]
 },
 "step5": {
  "n": 4,
  "N": 16,
  "h": 0.2,
  "kappa_A2": 9.472135954999574,
  "node": {
   "flat": 10,
   "grid": [
    2,
    2
   ]
  },
  "phiL2R_row_exact": [
   -1.1094112190938119e-17,
   6.56276207058063e-18,
   -7.23425195386412e-17,
   0.0,
   -9.64810689900255e-18,
   7.879247488405361e-19,
   0.29367469879518066,
   0.08433734939759041,
   0.006024096385542199,
   0.3177710843373493
  ],
  "d2_exact": 0.01174698795180723,
  "ic0_kept": {
   "W": 0.28846153846153844,
   "prev_row": 0.28846153846153844
  },
  "vecchia_kept": {
   "W": 0.3223684210526315,
   "prev_row": 0.3223684210526315
  },
  "dropped_l2_mass": 0.08455222197360367,
  "dropped_l2_rel": 0.19178196368385725,
  "ic_vs_vecchia_max_coef_dev": 0.04992599659163177,
  "rho_ic0": 0.3286254860198946,
  "kappa_ic0": 1.6823993406700084,
  "rho_vecchia": 0.19714614643982165,
  "kappa_vecchia": 1.4639261185973453,
  "report11_n8_dev": 0.083
 },
 "step6": {
  "beta_chain": [
   "5/7",
   "8/7",
   "9/7",
   "8/7",
   "5/7"
  ],
  "var_ubar": "7/360",
  "cov_ubar": [
   "1/72",
   "1/45",
   "1/40",
   "1/45",
   "1/72"
  ],
  "residual_cov_chain": [
   [
    "5/378",
    "1/378",
    "-1/252",
    "-5/756",
    "-1/189"
   ],
   [
    "1/378",
    "11/945",
    "-1/1260",
    "-13/1890",
    "-5/756"
   ],
   [
    "-1/252",
    "-1/1260",
    "1/105",
    "-1/1260",
    "-1/252"
   ],
   [
    "-5/756",
    "-13/1890",
    "-1/1260",
    "11/945",
    "1/378"
   ],
   [
    "-1/189",
    "-5/756",
    "-1/252",
    "1/378",
    "5/378"
   ]
  ],
  "ve_chain_exact": "111/175",
  "ve_chain_float": 0.6342857142857142,
  "ve_2d_global": 0.2321246072902079,
  "ve_2d_2x2blocks": 0.4957724269798679,
  "twolevel": {
   "mu_min": 0.5000000000000007,
   "mu_max": 1.9082482904638636,
   "kappa": 3.8164965809277223,
   "theta": 0.8304791528014625,
   "rho": 0.5847604235992683
  }
 },
 "step7": {
  "b_hot": 0,
  "b_cold": 5,
  "methods": {
   "jacobi": {
    "rho": 0.8090169943749475,
    "tail_slope": 0.8090246388196844,
    "iters_to_1e-10": 107,
    "first8_rel_err": [
     0.5302474665030071,
     0.4143811050583947,
     0.33399053129336975,
     0.2700952318163657,
     0.21850181567819163,
     0.17677075720767152,
     0.1430104555714396,
     0.11569787957085473
    ]
   },
   "ic0": {
    "rho": 0.3286254860198946,
    "tail_slope": 0.32863011666009473,
    "iters_to_1e-10": 21,
    "first8_rel_err": [
     0.23002904194803692,
     0.07505895588565786,
     0.02439394023215418,
     0.008030349442376399,
     0.0026358315098716123,
     0.0008664457680925304,
     0.00028468896174653626,
     9.355967933701449e-05
    ]
   },
   "two-level": {
    "rho": 0.5847604235992683,
    "tail_slope": 0.5847606024987188,
    "iters_to_1e-10": 43,
    "first8_rel_err": [
     0.5676929281426668,
     0.29871240284193923,
     0.18109900815132277,
     0.10422824768688574,
     0.061351403923136406,
     0.035776418979355594,
     0.020945014473409265,
     0.012241820868275197
    ]
   }
  }
 },
 "step8": {
  "iters": {
   "cg": 7,
   "pcg_ic0": 8,
   "pcg_twolevel": 5
  },
  "whitened_traj_dev": {
   "ic0": 3.8765680530463087e-16,
   "twolevel": 5.181350908527495e-16
  },
  "cg_A_orth_max_offdiag": 3.822423914609766e-14,
  "res_hist": {
   "cg": [
    1.0,
    0.25,
    0.14907119849998596,
    0.11726039399558573,
    0.05340383148089843,
    0.0036526704739596894,
    0.0010837007299017013,
    1.7635098358417116e-17
   ],
   "pcg_ic0": [
    1.0,
    0.09246235387300925,
    0.02221497769184046,
    0.0017974080888202581,
    0.00012829204619278607,
    1.2771028538452072e-05,
    1.3878212763705598e-07,
    6.6474145844255305e-09,
    7.052247329746802e-11
   ],
   "pcg_twolevel": [
    1.0,
    0.25,
    0.14622725873026168,
    0.036112229206106204,
    0.0045049514917539215,
    4.836899846201323e-18
   ]
  }
 }
}