{
  "args": {
    "ckpt_root": "/home/yurenh2/rrm/hrm/checkpoints/Sudoku-extreme-1k-aug-1000 ACT-torch/HierarchicalReasoningModel_ACTV1 righteous-python",
    "ckpt_name": "step_26040",
    "n_steps": 200,
    "batch_size": 8,
    "lr": 5e-06,
    "alpha_rf": 0.0,
    "lambda_star": -0.85,
    "k_lyap": 2,
    "lyap_act_steps": 4,
    "rf_mode": "fixed",
    "rf_eps": 1e-06,
    "seed": 42,
    "eval_every": 50,
    "eval_n": 512,
    "eval_batch_size": 32,
    "out": "ab_baseline.json"
  },
  "initial_acc": 0.517578125,
  "initial_tok_acc": 0.8276668595679012,
  "steps": [
    {
      "step": 0,
      "sup_loss": 0.5692796107486419,
      "rf_loss": 0.0188673734664917,
      "total_loss": 0.5692796107486419,
      "mean_lyap": -0.8058679103851318,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.5
    },
    {
      "step": 1,
      "sup_loss": 0.44216542344132326,
      "rf_loss": 0.008090442977845669,
      "total_loss": 0.44216542344132326,
      "mean_lyap": -0.8389676809310913,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.375
    },
    {
      "step": 2,
      "sup_loss": 0.7179927810809378,
      "rf_loss": 0.02125377207994461,
      "total_loss": 0.7179927810809378,
      "mean_lyap": -0.772433876991272,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 3,
      "sup_loss": 0.5924383523500246,
      "rf_loss": 0.011564759537577629,
      "total_loss": 0.5924383523500246,
      "mean_lyap": -0.8060556650161743,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 4,
      "sup_loss": 0.556722850089877,
      "rf_loss": 0.0227561853826046,
      "total_loss": 0.556722850089877,
      "mean_lyap": -0.7509233951568604,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 5,
      "sup_loss": 0.8150128306870151,
      "rf_loss": 0.029057025909423828,
      "total_loss": 0.8150128306870151,
      "mean_lyap": -0.7090215086936951,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 6,
      "sup_loss": 0.573086816912248,
      "rf_loss": 0.015127853490412235,
      "total_loss": 0.573086816912248,
      "mean_lyap": -0.7678287029266357,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 7,
      "sup_loss": 0.608783918182104,
      "rf_loss": 0.019849684089422226,
      "total_loss": 0.608783918182104,
      "mean_lyap": -0.7466349005699158,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 8,
      "sup_loss": 0.8013712427010381,
      "rf_loss": 0.024912847205996513,
      "total_loss": 0.8013712427010381,
      "mean_lyap": -0.7160708904266357,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 9,
      "sup_loss": 0.8611781132773041,
      "rf_loss": 0.02378900721669197,
      "total_loss": 0.8611781132773041,
      "mean_lyap": -0.7170447111129761,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 10,
      "sup_loss": 0.603850205329637,
      "rf_loss": 0.02224445343017578,
      "total_loss": 0.603850205329637,
      "mean_lyap": -0.7423288822174072,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 11,
      "sup_loss": 0.5935196770689526,
      "rf_loss": 0.017126888036727905,
      "total_loss": 0.5935196770689526,
      "mean_lyap": -0.7946580648422241,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 12,
      "sup_loss": 0.4828408869062336,
      "rf_loss": 0.0137407211586833,
      "total_loss": 0.4828408869062336,
      "mean_lyap": -0.7682695388793945,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 13,
      "sup_loss": 0.6836410110691055,
      "rf_loss": 0.020328622311353683,
      "total_loss": 0.6836410110691055,
      "mean_lyap": -0.741506040096283,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 14,
      "sup_loss": 0.6211160413092429,
      "rf_loss": 0.01726095750927925,
      "total_loss": 0.6211160413092429,
      "mean_lyap": -0.7909979224205017,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 15,
      "sup_loss": 0.7067292512448923,
      "rf_loss": 0.013877086341381073,
      "total_loss": 0.7067292512448923,
      "mean_lyap": -0.780184268951416,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 16,
      "sup_loss": 0.5147661194638552,
      "rf_loss": 0.012162098661065102,
      "total_loss": 0.5147661194638552,
      "mean_lyap": -0.7706966996192932,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 17,
      "sup_loss": 0.7133729104702038,
      "rf_loss": 0.027364332228899002,
      "total_loss": 0.7133729104702038,
      "mean_lyap": -0.7124254703521729,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 18,
      "sup_loss": 0.6053845994506637,
      "rf_loss": 0.018460115417838097,
      "total_loss": 0.6053845994506637,
      "mean_lyap": -0.7781225442886353,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 19,
      "sup_loss": 0.47194613694069043,
      "rf_loss": 0.011388372629880905,
      "total_loss": 0.47194613694069043,
      "mean_lyap": -0.8060376048088074,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.5
    },
    {
      "step": 20,
      "sup_loss": 0.6011921668060978,
      "rf_loss": 0.015685610473155975,
      "total_loss": 0.6011921668060978,
      "mean_lyap": -0.7717862129211426,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 21,
      "sup_loss": 0.5884581598601081,
      "rf_loss": 0.024047259241342545,
      "total_loss": 0.5884581598601081,
      "mean_lyap": -0.7246743440628052,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 22,
      "sup_loss": 0.5379079542528139,
      "rf_loss": 0.01822628453373909,
      "total_loss": 0.5379079542528139,
      "mean_lyap": -0.7664903402328491,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 23,
      "sup_loss": 0.5228693137725087,
      "rf_loss": 0.01828143000602722,
      "total_loss": 0.5228693137725087,
      "mean_lyap": -0.7506092190742493,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 24,
      "sup_loss": 0.6359728331729679,
      "rf_loss": 0.014887947589159012,
      "total_loss": 0.6359728331729679,
      "mean_lyap": -0.7469883561134338,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 25,
      "sup_loss": 0.7589778317342881,
      "rf_loss": 0.027633272111415863,
      "total_loss": 0.7589778317342881,
      "mean_lyap": -0.7086294889450073,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 26,
      "sup_loss": 0.7816825484183515,
      "rf_loss": 0.02294420450925827,
      "total_loss": 0.7816825484183515,
      "mean_lyap": -0.7194583415985107,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 27,
      "sup_loss": 0.40752060809355906,
      "rf_loss": 0.00869689043611288,
      "total_loss": 0.40752060809355906,
      "mean_lyap": -0.853058397769928,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.5
    },
    {
      "step": 28,
      "sup_loss": 0.7598342200180294,
      "rf_loss": 0.03639621287584305,
      "total_loss": 0.7598342200180294,
      "mean_lyap": -0.6926866769790649,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 29,
      "sup_loss": 0.7346288749325594,
      "rf_loss": 0.02920931950211525,
      "total_loss": 0.7346288749325594,
      "mean_lyap": -0.7217535972595215,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 30,
      "sup_loss": 0.7777219884619142,
      "rf_loss": 0.02019217610359192,
      "total_loss": 0.7777219884619142,
      "mean_lyap": -0.7585852146148682,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 31,
      "sup_loss": 0.62066619383762,
      "rf_loss": 0.02644718810915947,
      "total_loss": 0.62066619383762,
      "mean_lyap": -0.7444592714309692,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 32,
      "sup_loss": 0.6670801201641591,
      "rf_loss": 0.022040028125047684,
      "total_loss": 0.6670801201641591,
      "mean_lyap": -0.7274681329727173,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 33,
      "sup_loss": 0.4943865516639496,
      "rf_loss": 0.018601693212985992,
      "total_loss": 0.4943865516639496,
      "mean_lyap": -0.7411475777626038,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 34,
      "sup_loss": 0.6997482393491802,
      "rf_loss": 0.015254433266818523,
      "total_loss": 0.6997482393491802,
      "mean_lyap": -0.7534999847412109,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 35,
      "sup_loss": 0.43278240473618146,
      "rf_loss": 0.00983005203306675,
      "total_loss": 0.43278240473618146,
      "mean_lyap": -0.833416759967804,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.5
    },
    {
      "step": 36,
      "sup_loss": 0.6031542975352331,
      "rf_loss": 0.01650114357471466,
      "total_loss": 0.6031542975352331,
      "mean_lyap": -0.7596582770347595,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 37,
      "sup_loss": 0.8032300956495472,
      "rf_loss": 0.020659850910305977,
      "total_loss": 0.8032300956495472,
      "mean_lyap": -0.7174378037452698,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 38,
      "sup_loss": 0.5121771257965528,
      "rf_loss": 0.013280767016112804,
      "total_loss": 0.5121771257965528,
      "mean_lyap": -0.786674976348877,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 39,
      "sup_loss": 0.7275060381637447,
      "rf_loss": 0.0203658826649189,
      "total_loss": 0.7275060381637447,
      "mean_lyap": -0.7346393465995789,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 40,
      "sup_loss": 0.6514353098353729,
      "rf_loss": 0.021555598825216293,
      "total_loss": 0.6514353098353729,
      "mean_lyap": -0.7274446487426758,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 41,
      "sup_loss": 0.49709373743651797,
      "rf_loss": 0.016344700008630753,
      "total_loss": 0.49709373743651797,
      "mean_lyap": -0.7981948256492615,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 42,
      "sup_loss": 0.7065703530147928,
      "rf_loss": 0.02221592701971531,
      "total_loss": 0.7065703530147928,
      "mean_lyap": -0.7542256712913513,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 43,
      "sup_loss": 0.7090396772089527,
      "rf_loss": 0.016372324898838997,
      "total_loss": 0.7090396772089527,
      "mean_lyap": -0.7794075012207031,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 44,
      "sup_loss": 0.9289881086289538,
      "rf_loss": 0.033044710755348206,
      "total_loss": 0.9289881086289538,
      "mean_lyap": -0.6806827783584595,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 45,
      "sup_loss": 0.6448505333994983,
      "rf_loss": 0.014616364613175392,
      "total_loss": 0.6448505333994983,
      "mean_lyap": -0.7577605247497559,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 46,
      "sup_loss": 0.6382476558440502,
      "rf_loss": 0.026464039459824562,
      "total_loss": 0.6382476558440502,
      "mean_lyap": -0.7286443710327148,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 47,
      "sup_loss": 0.6398566142673036,
      "rf_loss": 0.01438322477042675,
      "total_loss": 0.6398566142673036,
      "mean_lyap": -0.7668901681900024,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 48,
      "sup_loss": 0.563725057322177,
      "rf_loss": 0.01295809168368578,
      "total_loss": 0.563725057322177,
      "mean_lyap": -0.8093639612197876,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.5
    },
    {
      "step": 49,
      "sup_loss": 0.5697769070491401,
      "rf_loss": 0.013909493573009968,
      "total_loss": 0.5697769070491401,
      "mean_lyap": -0.7570986747741699,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875,
      "eval_acc": 0.552734375,
      "eval_tok_acc": 0.8404706790123457
    },
    {
      "step": 50,
      "sup_loss": 0.5826585723900255,
      "rf_loss": 0.0233764685690403,
      "total_loss": 0.5826585723900255,
      "mean_lyap": -0.7396541833877563,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 51,
      "sup_loss": 0.790284612106612,
      "rf_loss": 0.020453739911317825,
      "total_loss": 0.790284612106612,
      "mean_lyap": -0.7257196307182312,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 52,
      "sup_loss": 0.5531537291386107,
      "rf_loss": 0.016834422945976257,
      "total_loss": 0.5531537291386107,
      "mean_lyap": -0.8007345795631409,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 53,
      "sup_loss": 0.6352155311914186,
      "rf_loss": 0.013691319152712822,
      "total_loss": 0.6352155311914186,
      "mean_lyap": -0.7804731130599976,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 54,
      "sup_loss": 0.6188030821523791,
      "rf_loss": 0.008023826405405998,
      "total_loss": 0.6188030821523791,
      "mean_lyap": -0.7914124727249146,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 55,
      "sup_loss": 0.6814536327347118,
      "rf_loss": 0.014042635448276997,
      "total_loss": 0.6814536327347118,
      "mean_lyap": -0.7954126596450806,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 56,
      "sup_loss": 0.5377735327434082,
      "rf_loss": 0.0090873334556818,
      "total_loss": 0.5377735327434082,
      "mean_lyap": -0.8083645105361938,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 57,
      "sup_loss": 0.6449342931850235,
      "rf_loss": 0.0221039317548275,
      "total_loss": 0.6449342931850235,
      "mean_lyap": -0.7603305578231812,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 58,
      "sup_loss": 0.66538010054372,
      "rf_loss": 0.013639635406434536,
      "total_loss": 0.66538010054372,
      "mean_lyap": -0.7493693232536316,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 59,
      "sup_loss": 0.44518168701931965,
      "rf_loss": 0.009685002267360687,
      "total_loss": 0.44518168701931965,
      "mean_lyap": -0.8124280571937561,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.5
    },
    {
      "step": 60,
      "sup_loss": 0.7009587615205658,
      "rf_loss": 0.016143623739480972,
      "total_loss": 0.7009587615205658,
      "mean_lyap": -0.7512706518173218,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 61,
      "sup_loss": 0.5436809132351307,
      "rf_loss": 0.01747089996933937,
      "total_loss": 0.5436809132351307,
      "mean_lyap": -0.7507422566413879,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 62,
      "sup_loss": 0.4203695930318393,
      "rf_loss": 0.012806981801986694,
      "total_loss": 0.4203695930318393,
      "mean_lyap": -0.7961456775665283,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.5
    },
    {
      "step": 63,
      "sup_loss": 0.7150037589508791,
      "rf_loss": 0.015982968732714653,
      "total_loss": 0.7150037589508791,
      "mean_lyap": -0.7318211197853088,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 64,
      "sup_loss": 0.652219758719418,
      "rf_loss": 0.023553067818284035,
      "total_loss": 0.652219758719418,
      "mean_lyap": -0.7388643026351929,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 65,
      "sup_loss": 0.837005725572724,
      "rf_loss": 0.026055293157696724,
      "total_loss": 0.837005725572724,
      "mean_lyap": -0.7198929786682129,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 66,
      "sup_loss": 0.6202614566734284,
      "rf_loss": 0.020005282014608383,
      "total_loss": 0.6202614566734284,
      "mean_lyap": -0.7444818615913391,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 67,
      "sup_loss": 0.4833856378949369,
      "rf_loss": 0.028408441692590714,
      "total_loss": 0.4833856378949369,
      "mean_lyap": -0.7288103103637695,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 68,
      "sup_loss": 0.661273925734417,
      "rf_loss": 0.027708619832992554,
      "total_loss": 0.661273925734417,
      "mean_lyap": -0.7327063083648682,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 69,
      "sup_loss": 0.7496881555889151,
      "rf_loss": 0.026845691725611687,
      "total_loss": 0.7496881555889151,
      "mean_lyap": -0.7238901853561401,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 70,
      "sup_loss": 0.655025449607148,
      "rf_loss": 0.01595262996852398,
      "total_loss": 0.655025449607148,
      "mean_lyap": -0.7677739858627319,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 71,
      "sup_loss": 0.7007515633599688,
      "rf_loss": 0.021251795813441277,
      "total_loss": 0.7007515633599688,
      "mean_lyap": -0.7331578731536865,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 72,
      "sup_loss": 0.576434780397206,
      "rf_loss": 0.016705233603715897,
      "total_loss": 0.576434780397206,
      "mean_lyap": -0.7671521306037903,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 73,
      "sup_loss": 0.5601490880533248,
      "rf_loss": 0.013522581197321415,
      "total_loss": 0.5601490880533248,
      "mean_lyap": -0.7947361469268799,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 74,
      "sup_loss": 0.7067256772074493,
      "rf_loss": 0.018538862466812134,
      "total_loss": 0.7067256772074493,
      "mean_lyap": -0.7749499082565308,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 75,
      "sup_loss": 0.6361385332077261,
      "rf_loss": 0.016246065497398376,
      "total_loss": 0.6361385332077261,
      "mean_lyap": -0.7251455187797546,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 76,
      "sup_loss": 0.5909602447715041,
      "rf_loss": 0.021141495555639267,
      "total_loss": 0.5909602447715041,
      "mean_lyap": -0.7562252283096313,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 77,
      "sup_loss": 0.6434410927961547,
      "rf_loss": 0.017454879358410835,
      "total_loss": 0.6434410927961547,
      "mean_lyap": -0.7376397848129272,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 78,
      "sup_loss": 0.9238963273058481,
      "rf_loss": 0.021510258316993713,
      "total_loss": 0.9238963273058481,
      "mean_lyap": -0.7469452619552612,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 79,
      "sup_loss": 0.7236918128430727,
      "rf_loss": 0.020564239472150803,
      "total_loss": 0.7236918128430727,
      "mean_lyap": -0.726544976234436,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 80,
      "sup_loss": 0.6409598500947482,
      "rf_loss": 0.022763080894947052,
      "total_loss": 0.6409598500947482,
      "mean_lyap": -0.7322769165039062,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 81,
      "sup_loss": 0.5012803999183488,
      "rf_loss": 0.018363304436206818,
      "total_loss": 0.5012803999183488,
      "mean_lyap": -0.7594103813171387,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 82,
      "sup_loss": 0.595928273477278,
      "rf_loss": 0.017527179792523384,
      "total_loss": 0.595928273477278,
      "mean_lyap": -0.7859100699424744,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.5
    },
    {
      "step": 83,
      "sup_loss": 0.6768147054365412,
      "rf_loss": 0.026447735726833344,
      "total_loss": 0.6768147054365412,
      "mean_lyap": -0.735393762588501,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 84,
      "sup_loss": 0.7782185708548788,
      "rf_loss": 0.024071525782346725,
      "total_loss": 0.7782185708548788,
      "mean_lyap": -0.7258061766624451,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 85,
      "sup_loss": 0.7325408617531275,
      "rf_loss": 0.014113116078078747,
      "total_loss": 0.7325408617531275,
      "mean_lyap": -0.7520842552185059,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 86,
      "sup_loss": 0.6975618308654884,
      "rf_loss": 0.013928623870015144,
      "total_loss": 0.6975618308654884,
      "mean_lyap": -0.7803336381912231,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 87,
      "sup_loss": 0.6705027423264631,
      "rf_loss": 0.017224054783582687,
      "total_loss": 0.6705027423264631,
      "mean_lyap": -0.7290611267089844,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 88,
      "sup_loss": 0.839529559756467,
      "rf_loss": 0.01645783707499504,
      "total_loss": 0.839529559756467,
      "mean_lyap": -0.7615631222724915,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 89,
      "sup_loss": 0.7825565524722257,
      "rf_loss": 0.027677323669195175,
      "total_loss": 0.7825565524722257,
      "mean_lyap": -0.7235103845596313,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 90,
      "sup_loss": 0.5883908234238493,
      "rf_loss": 0.01794498600065708,
      "total_loss": 0.5883908234238493,
      "mean_lyap": -0.7414563894271851,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 91,
      "sup_loss": 0.7292005601421612,
      "rf_loss": 0.027813289314508438,
      "total_loss": 0.7292005601421612,
      "mean_lyap": -0.7170945405960083,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 92,
      "sup_loss": 0.728902278763871,
      "rf_loss": 0.015727847814559937,
      "total_loss": 0.728902278763871,
      "mean_lyap": -0.7584367990493774,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 93,
      "sup_loss": 0.5259643118830124,
      "rf_loss": 0.04229661449790001,
      "total_loss": 0.5259643118830124,
      "mean_lyap": -0.6916723251342773,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 94,
      "sup_loss": 0.6927865813446163,
      "rf_loss": 0.0240999273955822,
      "total_loss": 0.6927865813446163,
      "mean_lyap": -0.7025532722473145,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 95,
      "sup_loss": 0.6083888511156739,
      "rf_loss": 0.021323921158909798,
      "total_loss": 0.6083888511156739,
      "mean_lyap": -0.7353249788284302,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 96,
      "sup_loss": 0.7740486976196439,
      "rf_loss": 0.018548760563135147,
      "total_loss": 0.7740486976196439,
      "mean_lyap": -0.7455372214317322,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 97,
      "sup_loss": 0.4197253022727293,
      "rf_loss": 0.014343942515552044,
      "total_loss": 0.4197253022727293,
      "mean_lyap": -0.7712873220443726,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 98,
      "sup_loss": 0.6843407592199003,
      "rf_loss": 0.01865364983677864,
      "total_loss": 0.6843407592199003,
      "mean_lyap": -0.7498626708984375,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 99,
      "sup_loss": 0.6567347851715216,
      "rf_loss": 0.01154338475316763,
      "total_loss": 0.6567347851715216,
      "mean_lyap": -0.7681440114974976,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875,
      "eval_acc": 0.568359375,
      "eval_tok_acc": 0.8472222222222222
    },
    {
      "step": 100,
      "sup_loss": 0.5980592795436199,
      "rf_loss": 0.022254904732108116,
      "total_loss": 0.5980592795436199,
      "mean_lyap": -0.7540820837020874,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 101,
      "sup_loss": 0.5624580689029629,
      "rf_loss": 0.022493505850434303,
      "total_loss": 0.5624580689029629,
      "mean_lyap": -0.7384459972381592,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 102,
      "sup_loss": 0.7240116003521692,
      "rf_loss": 0.01897306554019451,
      "total_loss": 0.7240116003521692,
      "mean_lyap": -0.7602998614311218,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 103,
      "sup_loss": 0.6642026462980748,
      "rf_loss": 0.02639048546552658,
      "total_loss": 0.6642026462980748,
      "mean_lyap": -0.7270517349243164,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 104,
      "sup_loss": 0.7024871782173701,
      "rf_loss": 0.02026406303048134,
      "total_loss": 0.7024871782173701,
      "mean_lyap": -0.7161645293235779,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 105,
      "sup_loss": 0.6312421595788891,
      "rf_loss": 0.023384898900985718,
      "total_loss": 0.6312421595788891,
      "mean_lyap": -0.7193712592124939,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 106,
      "sup_loss": 0.6884468966995417,
      "rf_loss": 0.016240853816270828,
      "total_loss": 0.6884468966995417,
      "mean_lyap": -0.755121648311615,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 107,
      "sup_loss": 0.6379543052468103,
      "rf_loss": 0.029100649058818817,
      "total_loss": 0.6379543052468103,
      "mean_lyap": -0.7257106900215149,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 108,
      "sup_loss": 0.6744931370553356,
      "rf_loss": 0.02190406806766987,
      "total_loss": 0.6744931370553356,
      "mean_lyap": -0.7128636837005615,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 109,
      "sup_loss": 0.7785363922920249,
      "rf_loss": 0.024109523743391037,
      "total_loss": 0.7785363922920249,
      "mean_lyap": -0.7296158671379089,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 110,
      "sup_loss": 0.588132590652831,
      "rf_loss": 0.01571902260184288,
      "total_loss": 0.588132590652831,
      "mean_lyap": -0.7552504539489746,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 111,
      "sup_loss": 0.7479231860441646,
      "rf_loss": 0.025284072384238243,
      "total_loss": 0.7479231860441646,
      "mean_lyap": -0.7190150022506714,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 112,
      "sup_loss": 0.6834877028197537,
      "rf_loss": 0.03612999990582466,
      "total_loss": 0.6834877028197537,
      "mean_lyap": -0.6671320199966431,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 113,
      "sup_loss": 0.6448277894236214,
      "rf_loss": 0.025801360607147217,
      "total_loss": 0.6448277894236214,
      "mean_lyap": -0.7187458276748657,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 114,
      "sup_loss": 0.5451011739222377,
      "rf_loss": 0.019290510565042496,
      "total_loss": 0.5451011739222377,
      "mean_lyap": -0.770762026309967,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 115,
      "sup_loss": 0.599914185954553,
      "rf_loss": 0.023138873279094696,
      "total_loss": 0.599914185954553,
      "mean_lyap": -0.7440516352653503,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 116,
      "sup_loss": 0.648403322220771,
      "rf_loss": 0.02817549556493759,
      "total_loss": 0.648403322220771,
      "mean_lyap": -0.7008245587348938,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 117,
      "sup_loss": 0.7785382513402747,
      "rf_loss": 0.02821667678654194,
      "total_loss": 0.7785382513402747,
      "mean_lyap": -0.7017555236816406,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 118,
      "sup_loss": 0.5088733739421664,
      "rf_loss": 0.02005225419998169,
      "total_loss": 0.5088733739421664,
      "mean_lyap": -0.7307372093200684,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 119,
      "sup_loss": 0.5891269964910592,
      "rf_loss": 0.023113207891583443,
      "total_loss": 0.5891269964910592,
      "mean_lyap": -0.7270251512527466,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 120,
      "sup_loss": 0.6018402072397729,
      "rf_loss": 0.0183856338262558,
      "total_loss": 0.6018402072397729,
      "mean_lyap": -0.7451243996620178,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 121,
      "sup_loss": 0.7100135583773861,
      "rf_loss": 0.024687785655260086,
      "total_loss": 0.7100135583773861,
      "mean_lyap": -0.7152650356292725,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 122,
      "sup_loss": 0.7555754775823643,
      "rf_loss": 0.02922731637954712,
      "total_loss": 0.7555754775823643,
      "mean_lyap": -0.7086939215660095,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 123,
      "sup_loss": 0.7816156267217089,
      "rf_loss": 0.019390424713492393,
      "total_loss": 0.7816156267217089,
      "mean_lyap": -0.7322418689727783,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 124,
      "sup_loss": 0.9818846053491461,
      "rf_loss": 0.02662663720548153,
      "total_loss": 0.9818846053491461,
      "mean_lyap": -0.6961807012557983,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 125,
      "sup_loss": 0.6221557133762831,
      "rf_loss": 0.01712089404463768,
      "total_loss": 0.6221557133762831,
      "mean_lyap": -0.7866336107254028,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 126,
      "sup_loss": 0.5070404021275237,
      "rf_loss": 0.013781729154288769,
      "total_loss": 0.5070404021275237,
      "mean_lyap": -0.758777916431427,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 127,
      "sup_loss": 0.4524038611152998,
      "rf_loss": 0.013750974088907242,
      "total_loss": 0.4524038611152998,
      "mean_lyap": -0.7971649169921875,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 128,
      "sup_loss": 0.4499837349472374,
      "rf_loss": 0.017808884382247925,
      "total_loss": 0.4499837349472374,
      "mean_lyap": -0.7716026902198792,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 129,
      "sup_loss": 0.45269192485421456,
      "rf_loss": 0.015859700739383698,
      "total_loss": 0.45269192485421456,
      "mean_lyap": -0.76076340675354,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 130,
      "sup_loss": 0.6673497155113727,
      "rf_loss": 0.022777624428272247,
      "total_loss": 0.6673497155113727,
      "mean_lyap": -0.7725577354431152,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 131,
      "sup_loss": 0.4786419942216587,
      "rf_loss": 0.02173563279211521,
      "total_loss": 0.4786419942216587,
      "mean_lyap": -0.7585476636886597,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 132,
      "sup_loss": 0.6063093064908082,
      "rf_loss": 0.014882536605000496,
      "total_loss": 0.6063093064908082,
      "mean_lyap": -0.7524175643920898,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 133,
      "sup_loss": 0.597613288846509,
      "rf_loss": 0.013898427598178387,
      "total_loss": 0.597613288846509,
      "mean_lyap": -0.7747804522514343,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 134,
      "sup_loss": 0.60566359002851,
      "rf_loss": 0.01954154670238495,
      "total_loss": 0.60566359002851,
      "mean_lyap": -0.7563980221748352,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 135,
      "sup_loss": 0.6949796434718941,
      "rf_loss": 0.028822313994169235,
      "total_loss": 0.6949796434718941,
      "mean_lyap": -0.6872661113739014,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 136,
      "sup_loss": 0.7223416948872027,
      "rf_loss": 0.023509033024311066,
      "total_loss": 0.7223416948872027,
      "mean_lyap": -0.716987133026123,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 137,
      "sup_loss": 0.7495671917133016,
      "rf_loss": 0.030036117881536484,
      "total_loss": 0.7495671917133016,
      "mean_lyap": -0.6973689794540405,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 138,
      "sup_loss": 0.6006217789008484,
      "rf_loss": 0.025087039917707443,
      "total_loss": 0.6006217789008484,
      "mean_lyap": -0.7467139363288879,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 139,
      "sup_loss": 0.655849728214072,
      "rf_loss": 0.02381773479282856,
      "total_loss": 0.655849728214072,
      "mean_lyap": -0.7454387545585632,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 140,
      "sup_loss": 0.8102625015074788,
      "rf_loss": 0.02733512781560421,
      "total_loss": 0.8102625015074788,
      "mean_lyap": -0.7079421281814575,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 141,
      "sup_loss": 0.8502794994821964,
      "rf_loss": 0.0390443429350853,
      "total_loss": 0.8502794994821964,
      "mean_lyap": -0.6732217073440552,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 142,
      "sup_loss": 0.4447228354594742,
      "rf_loss": 0.006015835329890251,
      "total_loss": 0.4447228354594742,
      "mean_lyap": -0.8424338698387146,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.5
    },
    {
      "step": 143,
      "sup_loss": 0.5819806541160968,
      "rf_loss": 0.022949546575546265,
      "total_loss": 0.5819806541160968,
      "mean_lyap": -0.7761141657829285,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 144,
      "sup_loss": 0.8907128100588448,
      "rf_loss": 0.03222889453172684,
      "total_loss": 0.8907128100588448,
      "mean_lyap": -0.6746317744255066,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 145,
      "sup_loss": 0.7475727065584685,
      "rf_loss": 0.02313586324453354,
      "total_loss": 0.7475727065584685,
      "mean_lyap": -0.721125602722168,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 146,
      "sup_loss": 0.5155802794452706,
      "rf_loss": 0.010369600728154182,
      "total_loss": 0.5155802794452706,
      "mean_lyap": -0.8093665838241577,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 147,
      "sup_loss": 0.5766483210434503,
      "rf_loss": 0.030000735074281693,
      "total_loss": 0.5766483210434503,
      "mean_lyap": -0.7040218114852905,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 148,
      "sup_loss": 0.6190240840623844,
      "rf_loss": 0.020453080534934998,
      "total_loss": 0.6190240840623844,
      "mean_lyap": -0.7449148893356323,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 149,
      "sup_loss": 0.4418606997334367,
      "rf_loss": 0.016067467629909515,
      "total_loss": 0.4418606997334367,
      "mean_lyap": -0.7565109729766846,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75,
      "eval_acc": 0.572265625,
      "eval_tok_acc": 0.8472222222222222
    },
    {
      "step": 150,
      "sup_loss": 0.608863340368222,
      "rf_loss": 0.010185742750763893,
      "total_loss": 0.608863340368222,
      "mean_lyap": -0.7974428534507751,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 151,
      "sup_loss": 0.4989138195700283,
      "rf_loss": 0.00835250411182642,
      "total_loss": 0.4989138195700283,
      "mean_lyap": -0.7983441352844238,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 152,
      "sup_loss": 0.5762244655978565,
      "rf_loss": 0.023800041526556015,
      "total_loss": 0.5762244655978565,
      "mean_lyap": -0.7355422973632812,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 153,
      "sup_loss": 0.6510807838822642,
      "rf_loss": 0.025307195261120796,
      "total_loss": 0.6510807838822642,
      "mean_lyap": -0.7280991077423096,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 154,
      "sup_loss": 0.6181092234799915,
      "rf_loss": 0.02716577984392643,
      "total_loss": 0.6181092234799915,
      "mean_lyap": -0.7010234594345093,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 155,
      "sup_loss": 0.6119396019660481,
      "rf_loss": 0.020342616364359856,
      "total_loss": 0.6119396019660481,
      "mean_lyap": -0.7642773389816284,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 156,
      "sup_loss": 0.718161081444468,
      "rf_loss": 0.02265091985464096,
      "total_loss": 0.718161081444468,
      "mean_lyap": -0.7601755857467651,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 157,
      "sup_loss": 0.771410969770839,
      "rf_loss": 0.023383142426609993,
      "total_loss": 0.771410969770839,
      "mean_lyap": -0.7313747406005859,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 158,
      "sup_loss": 0.7873566901500851,
      "rf_loss": 0.02689053863286972,
      "total_loss": 0.7873566901500851,
      "mean_lyap": -0.7017194032669067,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 159,
      "sup_loss": 0.6521325517749783,
      "rf_loss": 0.023862306028604507,
      "total_loss": 0.6521325517749783,
      "mean_lyap": -0.756867527961731,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 160,
      "sup_loss": 0.8090020016278459,
      "rf_loss": 0.02572615258395672,
      "total_loss": 0.8090020016278459,
      "mean_lyap": -0.6997763514518738,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 161,
      "sup_loss": 0.39743736247155537,
      "rf_loss": 0.008481619879603386,
      "total_loss": 0.39743736247155537,
      "mean_lyap": -0.8086578845977783,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 162,
      "sup_loss": 0.43669027909842767,
      "rf_loss": 0.02010437473654747,
      "total_loss": 0.43669027909842767,
      "mean_lyap": -0.7667924761772156,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 163,
      "sup_loss": 0.6943994844592515,
      "rf_loss": 0.02065116912126541,
      "total_loss": 0.6943994844592515,
      "mean_lyap": -0.7488412261009216,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 164,
      "sup_loss": 0.5030190359687045,
      "rf_loss": 0.008932781405746937,
      "total_loss": 0.5030190359687045,
      "mean_lyap": -0.8126202821731567,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 165,
      "sup_loss": 0.5247402453124103,
      "rf_loss": 0.007777722552418709,
      "total_loss": 0.5247402453124103,
      "mean_lyap": -0.7961758375167847,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 166,
      "sup_loss": 0.6398741585180664,
      "rf_loss": 0.014761778526008129,
      "total_loss": 0.6398741585180664,
      "mean_lyap": -0.7567418813705444,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 167,
      "sup_loss": 0.8393518590572031,
      "rf_loss": 0.020471977069973946,
      "total_loss": 0.8393518590572031,
      "mean_lyap": -0.7370960116386414,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 168,
      "sup_loss": 0.680243910836956,
      "rf_loss": 0.030797768384218216,
      "total_loss": 0.680243910836956,
      "mean_lyap": -0.7304750680923462,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 169,
      "sup_loss": 0.6067754357631518,
      "rf_loss": 0.010489920154213905,
      "total_loss": 0.6067754357631518,
      "mean_lyap": -0.7997013330459595,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 170,
      "sup_loss": 0.5141692780649875,
      "rf_loss": 0.012256162241101265,
      "total_loss": 0.5141692780649875,
      "mean_lyap": -0.7924825549125671,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.625
    },
    {
      "step": 171,
      "sup_loss": 0.5914484831356449,
      "rf_loss": 0.027381759136915207,
      "total_loss": 0.5914484831356449,
      "mean_lyap": -0.7163530588150024,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 172,
      "sup_loss": 0.5789175642945378,
      "rf_loss": 0.01908736303448677,
      "total_loss": 0.5789175642945378,
      "mean_lyap": -0.7499892115592957,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 173,
      "sup_loss": 0.4653848168603588,
      "rf_loss": 0.017360832542181015,
      "total_loss": 0.4653848168603588,
      "mean_lyap": -0.7850685119628906,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 174,
      "sup_loss": 0.7090750662356801,
      "rf_loss": 0.013011809438467026,
      "total_loss": 0.7090750662356801,
      "mean_lyap": -0.7769396901130676,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 175,
      "sup_loss": 0.5897593552028595,
      "rf_loss": 0.026643576100468636,
      "total_loss": 0.5897593552028595,
      "mean_lyap": -0.7525628209114075,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 176,
      "sup_loss": 0.6342460976107454,
      "rf_loss": 0.016768531873822212,
      "total_loss": 0.6342460976107454,
      "mean_lyap": -0.7469217777252197,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 177,
      "sup_loss": 0.6386313097045985,
      "rf_loss": 0.02367786318063736,
      "total_loss": 0.6386313097045985,
      "mean_lyap": -0.7474036812782288,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 178,
      "sup_loss": 0.615910173449133,
      "rf_loss": 0.02075655572116375,
      "total_loss": 0.615910173449133,
      "mean_lyap": -0.7326847314834595,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 179,
      "sup_loss": 0.6833451153579814,
      "rf_loss": 0.011882389895617962,
      "total_loss": 0.6833451153579814,
      "mean_lyap": -0.7710140943527222,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 180,
      "sup_loss": 0.6047951549693648,
      "rf_loss": 0.017027340829372406,
      "total_loss": 0.6047951549693648,
      "mean_lyap": -0.753353476524353,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 181,
      "sup_loss": 0.43196108913788,
      "rf_loss": 0.012315124273300171,
      "total_loss": 0.43196108913788,
      "mean_lyap": -0.7744470834732056,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 182,
      "sup_loss": 0.7267525749423682,
      "rf_loss": 0.029976610094308853,
      "total_loss": 0.7267525749423682,
      "mean_lyap": -0.7055696249008179,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 183,
      "sup_loss": 0.6574720505614811,
      "rf_loss": 0.017794426530599594,
      "total_loss": 0.6574720505614811,
      "mean_lyap": -0.7502639293670654,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 184,
      "sup_loss": 0.4021980908533472,
      "rf_loss": 0.009408671408891678,
      "total_loss": 0.4021980908533472,
      "mean_lyap": -0.78846275806427,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 185,
      "sup_loss": 0.4549793457086916,
      "rf_loss": 0.009391248226165771,
      "total_loss": 0.4549793457086916,
      "mean_lyap": -0.8460166454315186,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.5
    },
    {
      "step": 186,
      "sup_loss": 0.5413158812363411,
      "rf_loss": 0.01666955277323723,
      "total_loss": 0.5413158812363411,
      "mean_lyap": -0.7738894820213318,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 187,
      "sup_loss": 0.6873596727871502,
      "rf_loss": 0.024179410189390182,
      "total_loss": 0.6873596727871502,
      "mean_lyap": -0.7622608542442322,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 188,
      "sup_loss": 0.7900023726432761,
      "rf_loss": 0.021329613402485847,
      "total_loss": 0.7900023726432761,
      "mean_lyap": -0.7401515245437622,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 189,
      "sup_loss": 0.8101270139540658,
      "rf_loss": 0.013392371125519276,
      "total_loss": 0.8101270139540658,
      "mean_lyap": -0.7592623233795166,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 190,
      "sup_loss": 0.6175607499982887,
      "rf_loss": 0.016656629741191864,
      "total_loss": 0.6175607499982887,
      "mean_lyap": -0.7526005506515503,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.75
    },
    {
      "step": 191,
      "sup_loss": 0.8059601910443276,
      "rf_loss": 0.02683323435485363,
      "total_loss": 0.8059601910443276,
      "mean_lyap": -0.7117177844047546,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 192,
      "sup_loss": 0.672904260227444,
      "rf_loss": 0.024678904563188553,
      "total_loss": 0.672904260227444,
      "mean_lyap": -0.713874101638794,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 193,
      "sup_loss": 0.469671263379558,
      "rf_loss": 0.008900867775082588,
      "total_loss": 0.469671263379558,
      "mean_lyap": -0.787243127822876,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875
    },
    {
      "step": 194,
      "sup_loss": 0.793730523902836,
      "rf_loss": 0.030314896255731583,
      "total_loss": 0.793730523902836,
      "mean_lyap": -0.6965149641036987,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 195,
      "sup_loss": 0.4862851104982111,
      "rf_loss": 0.011369990184903145,
      "total_loss": 0.4862851104982111,
      "mean_lyap": -0.8213597536087036,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.375
    },
    {
      "step": 196,
      "sup_loss": 0.760971154599404,
      "rf_loss": 0.02575698308646679,
      "total_loss": 0.760971154599404,
      "mean_lyap": -0.6911941766738892,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 197,
      "sup_loss": 0.6156609812949445,
      "rf_loss": 0.016349555924534798,
      "total_loss": 0.6156609812949445,
      "mean_lyap": -0.78205406665802,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.5
    },
    {
      "step": 198,
      "sup_loss": 0.6535240735844162,
      "rf_loss": 0.017935901880264282,
      "total_loss": 0.6535240735844162,
      "mean_lyap": -0.7265710830688477,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 1.0
    },
    {
      "step": 199,
      "sup_loss": 0.5490033841215428,
      "rf_loss": 0.020748641341924667,
      "total_loss": 0.5490033841215428,
      "mean_lyap": -0.7320446968078613,
      "lam_star": -0.8500000238418579,
      "excess_frac_nonzero": 0.875,
      "eval_acc": 0.5703125,
      "eval_tok_acc": 0.8483072916666666
    }
  ],
  "final_acc": 0.5703125,
  "final_tok_acc": 0.8483072916666666
}