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{
  "model": "HuggingFaceTB/SmolLM2-360M",
  "theta": 100000,
  "gamma_pred": 0.799996493334704,
  "C_theory": 9.2103,
  "distances": [
    10,
    20,
    30,
    50,
    100,
    200,
    500,
    1000,
    2000
  ],
  "distances_fit": [
    30,
    50,
    100,
    200,
    500,
    1000,
    2000
  ],
  "d_min_fit": 30,
  "n_prompts_per_distance": 150,
  "seeds": [
    42,
    123,
    7
  ],
  "attn_by_distance": {
    "10": {
      "mean_across_seeds": 0.0075793186652784545,
      "std_across_seeds": 9.488817720498863e-05,
      "per_seed_means": [
        0.007506389223660032,
        0.007518230212541918,
        0.007713336559633414
      ]
    },
    "20": {
      "mean_across_seeds": 0.005817425185814499,
      "std_across_seeds": 6.958758292443584e-05,
      "per_seed_means": [
        0.005819998332299292,
        0.005730940715099374,
        0.005901336510044833
      ]
    },
    "30": {
      "mean_across_seeds": 0.003471352700402753,
      "std_across_seeds": 0.00013065052503733263,
      "per_seed_means": [
        0.0036349724791944027,
        0.0034638783040766914,
        0.0033152073179371654
      ]
    },
    "50": {
      "mean_across_seeds": 0.002386403470429488,
      "std_across_seeds": 8.121991095048092e-05,
      "per_seed_means": [
        0.002459626552493622,
        0.002273151234646017,
        0.002426432624148826
      ]
    },
    "100": {
      "mean_across_seeds": 0.0015280379799918996,
      "std_across_seeds": 0.00010151077379917431,
      "per_seed_means": [
        0.0016437112788359324,
        0.0013965710260284445,
        0.001543831635111322
      ]
    },
    "200": {
      "mean_across_seeds": 0.0007104039443462778,
      "std_across_seeds": 4.436987859585186e-05,
      "per_seed_means": [
        0.0007541682361625135,
        0.0006495789651914189,
        0.0007274646316849006
      ]
    },
    "500": {
      "mean_across_seeds": 0.0003033048584701545,
      "std_across_seeds": 3.6902252588477966e-05,
      "per_seed_means": [
        0.0002615151315209611,
        0.00029712799480572966,
        0.0003512714490837728
      ]
    },
    "1000": {
      "mean_across_seeds": 0.0001780933051163124,
      "std_across_seeds": 1.2855955644831184e-05,
      "per_seed_means": [
        0.00017675424072270592,
        0.00019446533944574184,
        0.00016306033518048935
      ]
    },
    "2000": {
      "mean_across_seeds": 6.960754264582647e-05,
      "std_across_seeds": 7.328966477321964e-06,
      "per_seed_means": [
        7.937209645509331e-05,
        6.773537223731789e-05,
        6.171515924506821e-05
      ]
    }
  },
  "fit_power_law": {
    "gamma": 0.9197098362636822,
    "log_A": -2.406781712821382,
    "R2": 0.992716,
    "n_points": 7
  },
  "fit_exponential": {
    "lambda": 0.0018141314423132892,
    "log_A": -6.3860584376391865,
    "R2": 0.832386,
    "n_points": 7
  },
  "delta_R2_power_minus_exp": 0.1603,
  "gamma_CI_95": {
    "lo": 0.8428163690203526,
    "hi": 1.0093623120299413
  },
  "decision": "REFUTED: C not constant across \u03b8"
}