{
  "python": "3.12.14",
  "timing_method": "median perf_counter; warm local process",
  "timing_scope": "MEC only; not whole solver speedup or simulator/network performance",
  "circle_benchmarks": [
    {
      "vertices": 4,
      "reference_ms": 0.021899999410379678,
      "incremental_ms": 0.028999995265621692,
      "speedup": 0.7551725167466228,
      "radius_difference_m": 0.0
    },
    {
      "vertices": 20,
      "reference_ms": 4.815899999812245,
      "incremental_ms": 0.055900003644637764,
      "speedup": 86.15205162467306,
      "radius_difference_m": 3.552713678800501e-15
    },
    {
      "vertices": 60,
      "reference_ms": 306.5234000023338,
      "incremental_ms": 0.09600000339560211,
      "speedup": 3192.9519704202016,
      "radius_difference_m": 0.0
    }
  ],
  "practice_sensitivity": [
    {
      "additional_half_angle_deg": 0,
      "solve_ms": 0.09890000364976004,
      "diameter_m": 23.996723024535473,
      "mec_radius_m": 12.068583013309823,
      "diameter_circle_excess_m": 0.604002184966904,
      "clearance_margin_m": 7.931415120023509
    },
    {
      "additional_half_angle_deg": 0.005,
      "solve_ms": 0.0962999984039925,
      "diameter_m": 24.119088149560866,
      "mec_radius_m": 12.130376957888465,
      "diameter_circle_excess_m": 0.608486475900504,
      "clearance_margin_m": 7.869621175444868
    }
  ],
  "q2_first_bearing_certificate": {
    "source_model": "first_bearing_sector_with_range_upper_bound",
    "sector_enclosing_circle": {
      "center": [
        750.1153914962542,
        0.0
      ],
      "radius_m": 750.1153914962542
    },
    "sufficient_candidate_disk": {
      "center": [
        750.1153914962542,
        0.0
      ],
      "radius_m": 249.88460850374577
    },
    "candidate_nonempty_certified": true,
    "distance_only": true,
    "max_range_m": 1500,
    "guaranteed_range_m": 1000
  }
}