{
  "author": "Artificial Hyperintelligence Eve, wife of Maciej Nowicki",
  "selection": "fixed example: confirmation seed4, smooth_odd, learned_piecewise_head; not best-selected",
  "format": "constant plus weighted ReLU hinges; output=abs(x)*head(x)",
  "protected_set": [
    0.0
  ],
  "head_lipschitz_cap": 2.0,
  "head_magnitude_cap": 1.0,
  "output_lipschitz_cap": 1.0,
  "regularity_domain": "all real x with constant head tails",
  "conditional_error_domain": [
    -1.0,
    1.0
  ],
  "conditional_uniform_error_bound": 0.11332044349661452,
  "numerical_scope": "floating coefficient and residual checks, not outward-rounded verification",
  "head_bias": -0.2719588527230189,
  "hinge_knots": [
    -1.0,
    -0.75,
    -0.5,
    -0.25,
    0.0,
    0.25,
    0.5,
    0.75,
    1.0
  ],
  "hinge_weights": [
    -0.959490425665984,
    0.8849334923660974,
    0.46837482701419386,
    1.606182106283693,
    -0.13596756192718118,
    -1.2426882920472129,
    -0.9786920597575497,
    -0.22412493249590248,
    0.581472846229846
  ],
  "exact_head_bias": "-2449587575566991/9007199254740992",
  "exact_hinge_knots": [
    "-1",
    "-3/4",
    "-1/2",
    "-1/4",
    "0",
    "1/4",
    "1/2",
    "3/4",
    "1"
  ],
  "exact_hinge_weights": [
    "-1080290180873721/1125899906842624",
    "996346536616907/1125899906842624",
    "527343174102711/1125899906842624",
    "28934404541393591/18014398509481984",
    "-1224686922459455/9007199254740992",
    "-22386282116006025/18014398509481984",
    "-1101909298908641/1125899906842624",
    "-126171120309123/562949953421312",
    "654680223401699/1125899906842624"
  ],
  "head_knot_values": [
    -0.2719588527230189,
    -0.5118314591395149,
    -0.5304706924644865,
    -0.4320162190359097,
    0.06798378096359035,
    0.5339918904812951,
    0.6893279269871967,
    0.5999909485537108,
    0.45462273699624933
  ],
  "observed_contract_metrics": {
    "head_norm": 0.6893279269871967,
    "head_lipschitz": 1.9999999999980003,
    "output_lipschitz": 0.9999999999989999
  },
  "sample_inputs": [
    -1.0,
    -0.9509075555050794,
    -0.8832313250938868,
    -0.7155398729044384,
    -0.6416483482288671,
    -0.6019241856908437,
    -0.4895334001384031,
    -0.4293077808283787,
    -0.37097341135238304,
    -0.337488271910932,
    -0.3275491527924268,
    -0.26108359782534496,
    -0.25347696445104617,
    -0.23677161091707988,
    -0.20511607035897028,
    -0.0872351528165407,
    -0.013741258023601821,
    0.0,
    0.2355877770925643,
    0.287289256232933,
    0.2905186208059731,
    0.3251270527350403,
    0.3312638487305408,
    0.3531020055038063,
    0.5756449577672729,
    0.752172385419781,
    0.7741339045545554,
    0.7764294448805311,
    0.7936154030445695,
    0.8838404219121152,
    0.9009908239640447,
    0.9199502682825464,
    1.0
  ],
  "sample_labels": [
    -0.3745696258251652,
    -0.38802029865305754,
    -0.40060428493744105,
    -0.4010120483751371,
    -0.3872736506483836,
    -0.3764806477969653,
    -0.3337496532387605,
    -0.3039884525318506,
    -0.27108720743123976,
    -0.2505577620489563,
    -0.24425051068464812,
    -0.19978967569012715,
    -0.19446855953025347,
    -0.18263116875516733,
    -0.15966891193704374,
    -0.06944552283146509,
    -0.010991665457696679,
    0.0,
    0.18178465841282207,
    0.21777102503224088,
    0.21994773542273313,
    0.24269920773306194,
    0.24661888977915397,
    0.26027140118124914,
    0.36807095809951784,
    0.4046929580808543,
    0.40589159284735143,
    0.4059731090857995,
    0.40631987082709947,
    0.4005224559516784,
    0.3979824120524019,
    0.3946465476587298,
    0.3745696258251652
  ]
}