{
 "date": "2026-11-05",
 "build": "main branch, commit fb66389d of 2026-11-05 (not in a released version)",
 "machine": {
  "cpu": "Intel Core i5-12600K, 10 cores, 16 threads",
  "threads_per_run": 8
 },
 "tolerance": "1e-9",
 "verify": "python verify_all.py",
 "tests": "https://github.com/ESICUP/datasets (2d_irregular), CC0-1.0",
 "rules": "the ten ESICUP tests from ESICUP's XML, every corner exact, multiplied by the stated factor; each piece's own turns, no mirroring, no spacing; density = total part area / (strip width x used length), the same with or without the factor; the median is that of the valid runs",
 "instances": [
  {
   "name": "albano",
   "parts": 24,
   "types": 8,
   "strip_width": "4900",
   "rotations": [
    0,
    180
   ],
   "factor": "1/4",
   "results": {
    "10": {
     "median_percent": "88.13",
     "lowest_percent": "87.94",
     "highest_percent": "89.01",
     "median_run": 3,
     "runs_percent": [
      "88.00",
      "87.94",
      "88.13",
      "89.01",
      "88.50"
     ],
     "runs": 5,
     "valid_runs": 5,
     "each_run": [
      {
       "run": 1,
       "density_percent": "87.9952",
       "used_length": "2473.277636",
       "strip_width": "1225",
       "layout": "albano/albano-10s-run1.json",
       "picture": "albano/albano-10s-run1.svg",
       "check": "albano/albano-10s-run1-check.txt"
      },
      {
       "run": 2,
       "density_percent": "87.9363",
       "used_length": "2474.934606",
       "strip_width": "1225",
       "layout": "albano/albano-10s-run2.json",
       "picture": "albano/albano-10s-run2.svg",
       "check": "albano/albano-10s-run2-check.txt"
      },
      {
       "run": 3,
       "density_percent": "88.1279",
       "used_length": "2469.553793",
       "strip_width": "1225",
       "layout": "albano/albano-10s-run3.json",
       "picture": "albano/albano-10s-run3.svg",
       "check": "albano/albano-10s-run3-check.txt"
      },
      {
       "run": 4,
       "density_percent": "89.0073",
       "used_length": "2445.154072",
       "strip_width": "1225",
       "layout": "albano/albano-10s-run4.json",
       "picture": "albano/albano-10s-run4.svg",
       "check": "albano/albano-10s-run4-check.txt"
      },
      {
       "run": 5,
       "density_percent": "88.5017",
       "used_length": "2459.124332",
       "strip_width": "1225",
       "layout": "albano/albano-10s-run5.json",
       "picture": "albano/albano-10s-run5.svg",
       "check": "albano/albano-10s-run5-check.txt"
      }
     ]
    },
    "30": {
     "median_percent": "88.68",
     "lowest_percent": "88.12",
     "highest_percent": "89.39",
     "median_run": 3,
     "runs_percent": [
      "89.39",
      "88.12",
      "88.68",
      "88.99",
      "88.63"
     ],
     "runs": 5,
     "valid_runs": 5,
     "each_run": [
      {
       "run": 1,
       "density_percent": "89.3927",
       "used_length": "2434.612069",
       "strip_width": "1225",
       "layout": "albano/albano-30s-run1.json",
       "picture": "albano/albano-30s-run1.svg",
       "check": "albano/albano-30s-run1-check.txt"
      },
      {
       "run": 2,
       "density_percent": "88.1209",
       "used_length": "2469.75001",
       "strip_width": "1225",
       "layout": "albano/albano-30s-run2.json",
       "picture": "albano/albano-30s-run2.svg",
       "check": "albano/albano-30s-run2-check.txt"
      },
      {
       "run": 3,
       "density_percent": "88.6824",
       "used_length": "2454.112214",
       "strip_width": "1225",
       "layout": "albano/albano-30s-run3.json",
       "picture": "albano/albano-30s-run3.svg",
       "check": "albano/albano-30s-run3-check.txt"
      },
      {
       "run": 4,
       "density_percent": "88.9857",
       "used_length": "2445.750006",
       "strip_width": "1225",
       "layout": "albano/albano-30s-run4.json",
       "picture": "albano/albano-30s-run4.svg",
       "check": "albano/albano-30s-run4-check.txt"
      },
      {
       "run": 5,
       "density_percent": "88.6289",
       "used_length": "2455.594469",
       "strip_width": "1225",
       "layout": "albano/albano-30s-run5.json",
       "picture": "albano/albano-30s-run5.svg",
       "check": "albano/albano-30s-run5-check.txt"
      }
     ]
    },
    "60": {
     "median_percent": "88.66",
     "lowest_percent": "88.10",
     "highest_percent": "88.99",
     "median_run": 4,
     "runs_percent": [
      "88.40",
      "88.99",
      "88.10",
      "88.66",
      "88.91"
     ],
     "runs": 5,
     "valid_runs": 5,
     "each_run": [
      {
       "run": 1,
       "density_percent": "88.3978",
       "used_length": "2462.013294",
       "strip_width": "1225",
       "layout": "albano/albano-60s-run1.json",
       "picture": "albano/albano-60s-run1.svg",
       "check": "albano/albano-60s-run1-check.txt"
      },
      {
       "run": 2,
       "density_percent": "88.9938",
       "used_length": "2445.526503",
       "strip_width": "1225",
       "layout": "albano/albano-60s-run2.json",
       "picture": "albano/albano-60s-run2.svg",
       "check": "albano/albano-60s-run2-check.txt"
      },
      {
       "run": 3,
       "density_percent": "88.1040",
       "used_length": "2470.224397",
       "strip_width": "1225",
       "layout": "albano/albano-60s-run3.json",
       "picture": "albano/albano-60s-run3.svg",
       "check": "albano/albano-60s-run3-check.txt"
      },
      {
       "run": 4,
       "density_percent": "88.6577",
       "used_length": "2454.79635",
       "strip_width": "1225",
       "layout": "albano/albano-60s-run4.json",
       "picture": "albano/albano-60s-run4.svg",
       "check": "albano/albano-60s-run4-check.txt"
      },
      {
       "run": 5,
       "density_percent": "88.9111",
       "used_length": "2447.800266",
       "strip_width": "1225",
       "layout": "albano/albano-60s-run5.json",
       "picture": "albano/albano-60s-run5.svg",
       "check": "albano/albano-60s-run5-check.txt"
      }
     ]
    },
    "300": {
     "median_percent": "89.24",
     "lowest_percent": "89.16",
     "highest_percent": "89.32",
     "median_run": 3,
     "runs_percent": [
      "89.32",
      "89.16",
      "89.24"
     ],
     "runs": 3,
     "valid_runs": 3,
     "each_run": [
      {
       "run": 1,
       "density_percent": "89.3158",
       "used_length": "2436.708246",
       "strip_width": "1225",
       "layout": "albano/albano-300s-run1.json",
       "picture": "albano/albano-300s-run1.svg",
       "check": "albano/albano-300s-run1-check.txt"
      },
      {
       "run": 2,
       "density_percent": "89.1608",
       "used_length": "2440.944845",
       "strip_width": "1225",
       "layout": "albano/albano-300s-run2.json",
       "picture": "albano/albano-300s-run2.svg",
       "check": "albano/albano-300s-run2-check.txt"
      },
      {
       "run": 3,
       "density_percent": "89.2351",
       "used_length": "2438.913969",
       "strip_width": "1225",
       "layout": "albano/albano-300s-run3.json",
       "picture": "albano/albano-300s-run3.svg",
       "check": "albano/albano-300s-run3-check.txt"
      }
     ]
    }
   },
   "files": {
    "picture": "albano/albano-300s-run3.svg",
    "plan": "albano/albano-300s-run3.json",
    "proof": "albano/albano-300s-run3-check.txt"
   }
  },
  {
   "name": "dagli",
   "parts": 30,
   "types": 10,
   "strip_width": "60",
   "rotations": [
    0,
    180
   ],
   "factor": "16",
   "results": {
    "10": {
     "median_percent": "86.74",
     "lowest_percent": "86.66",
     "highest_percent": "87.13",
     "median_run": 5,
     "runs_percent": [
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      "87.13",
      "86.66",
      "87.00",
      "86.74"
     ],
     "runs": 5,
     "valid_runs": 5,
     "each_run": [
      {
       "run": 1,
       "density_percent": "86.7312",
       "used_length": "932.997126",
       "strip_width": "960",
       "layout": "dagli/dagli-10s-run1.json",
       "picture": "dagli/dagli-10s-run1.svg",
       "check": "dagli/dagli-10s-run1-check.txt"
      },
      {
       "run": 2,
       "density_percent": "87.1328",
       "used_length": "928.697649",
       "strip_width": "960",
       "layout": "dagli/dagli-10s-run2.json",
       "picture": "dagli/dagli-10s-run2.svg",
       "check": "dagli/dagli-10s-run2-check.txt"
      },
      {
       "run": 3,
       "density_percent": "86.6555",
       "used_length": "933.812184",
       "strip_width": "960",
       "layout": "dagli/dagli-10s-run3.json",
       "picture": "dagli/dagli-10s-run3.svg",
       "check": "dagli/dagli-10s-run3-check.txt"
      },
      {
       "run": 4,
       "density_percent": "86.9981",
       "used_length": "930.135611",
       "strip_width": "960",
       "layout": "dagli/dagli-10s-run4.json",
       "picture": "dagli/dagli-10s-run4.svg",
       "check": "dagli/dagli-10s-run4-check.txt"
      },
      {
       "run": 5,
       "density_percent": "86.7369",
       "used_length": "932.936523",
       "strip_width": "960",
       "layout": "dagli/dagli-10s-run5.json",
       "picture": "dagli/dagli-10s-run5.svg",
       "check": "dagli/dagli-10s-run5-check.txt"
      }
     ]
    },
    "30": {
     "median_percent": "86.80",
     "lowest_percent": "86.24",
     "highest_percent": "87.61",
     "median_run": 5,
     "runs_percent": [
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      "86.24",
      "87.61",
      "87.32",
      "86.80"
     ],
     "runs": 5,
     "valid_runs": 5,
     "each_run": [
      {
       "run": 1,
       "density_percent": "86.5666",
       "used_length": "934.771541",
       "strip_width": "960",
       "layout": "dagli/dagli-30s-run1.json",
       "picture": "dagli/dagli-30s-run1.svg",
       "check": "dagli/dagli-30s-run1-check.txt"
      },
      {
       "run": 2,
       "density_percent": "86.2429",
       "used_length": "938.279614",
       "strip_width": "960",
       "layout": "dagli/dagli-30s-run2.json",
       "picture": "dagli/dagli-30s-run2.svg",
       "check": "dagli/dagli-30s-run2-check.txt"
      },
      {
       "run": 3,
       "density_percent": "87.6127",
       "used_length": "923.610336",
       "strip_width": "960",
       "layout": "dagli/dagli-30s-run3.json",
       "picture": "dagli/dagli-30s-run3.svg",
       "check": "dagli/dagli-30s-run3-check.txt"
      },
      {
       "run": 4,
       "density_percent": "87.3226",
       "used_length": "926.679118",
       "strip_width": "960",
       "layout": "dagli/dagli-30s-run4.json",
       "picture": "dagli/dagli-30s-run4.svg",
       "check": "dagli/dagli-30s-run4-check.txt"
      },
      {
       "run": 5,
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       "strip_width": "960",
       "layout": "dagli/dagli-30s-run5.json",
       "picture": "dagli/dagli-30s-run5.svg",
       "check": "dagli/dagli-30s-run5-check.txt"
      }
     ]
    },
    "60": {
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     "highest_percent": "88.47",
     "median_run": 1,
     "runs_percent": [
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      "88.47",
      "88.37",
      "87.33"
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     "runs": 5,
     "valid_runs": 5,
     "each_run": [
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       "used_length": "923.965091",
       "strip_width": "960",
       "layout": "dagli/dagli-60s-run1.json",
       "picture": "dagli/dagli-60s-run1.svg",
       "check": "dagli/dagli-60s-run1-check.txt"
      },
      {
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       "used_length": "924.524441",
       "strip_width": "960",
       "layout": "dagli/dagli-60s-run2.json",
       "picture": "dagli/dagli-60s-run2.svg",
       "check": "dagli/dagli-60s-run2-check.txt"
      },
      {
       "run": 3,
       "density_percent": "88.4654",
       "used_length": "914.707917",
       "strip_width": "960",
       "layout": "dagli/dagli-60s-run3.json",
       "picture": "dagli/dagli-60s-run3.svg",
       "check": "dagli/dagli-60s-run3-check.txt"
      },
      {
       "run": 4,
       "density_percent": "88.3684",
       "used_length": "915.712277",
       "strip_width": "960",
       "layout": "dagli/dagli-60s-run4.json",
       "picture": "dagli/dagli-60s-run4.svg",
       "check": "dagli/dagli-60s-run4-check.txt"
      },
      {
       "run": 5,
       "density_percent": "87.3305",
       "used_length": "926.595339",
       "strip_width": "960",
       "layout": "dagli/dagli-60s-run5.json",
       "picture": "dagli/dagli-60s-run5.svg",
       "check": "dagli/dagli-60s-run5-check.txt"
      }
     ]
    },
    "300": {
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     "lowest_percent": "88.27",
     "highest_percent": "89.12",
     "median_run": 2,
     "runs_percent": [
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      "89.12"
     ],
     "runs": 3,
     "valid_runs": 3,
     "each_run": [
      {
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       "density_percent": "88.2675",
       "used_length": "916.758907",
       "strip_width": "960",
       "layout": "dagli/dagli-300s-run1.json",
       "picture": "dagli/dagli-300s-run1.svg",
       "check": "dagli/dagli-300s-run1-check.txt"
      },
      {
       "run": 2,
       "density_percent": "88.9445",
       "used_length": "909.780437",
       "strip_width": "960",
       "layout": "dagli/dagli-300s-run2.json",
       "picture": "dagli/dagli-300s-run2.svg",
       "check": "dagli/dagli-300s-run2-check.txt"
      },
      {
       "run": 3,
       "density_percent": "89.1151",
       "used_length": "908.039585",
       "strip_width": "960",
       "layout": "dagli/dagli-300s-run3.json",
       "picture": "dagli/dagli-300s-run3.svg",
       "check": "dagli/dagli-300s-run3-check.txt"
      }
     ]
    }
   },
   "files": {
    "picture": "dagli/dagli-300s-run2.svg",
    "plan": "dagli/dagli-300s-run2.json",
    "proof": "dagli/dagli-300s-run2-check.txt"
   }
  },
  {
   "name": "fu",
   "parts": 12,
   "types": 12,
   "strip_width": "38",
   "rotations": [
    0,
    90,
    180,
    270
   ],
   "factor": "25",
   "results": {
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     "highest_percent": "91.72",
     "median_run": 5,
     "runs_percent": [
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      "90.44",
      "90.43",
      "90.68"
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     "runs": 5,
     "valid_runs": 5,
     "each_run": [
      {
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       "density_percent": "91.1215",
       "used_length": "781.923083",
       "strip_width": "950",
       "layout": "fu/fu-10s-run1.json",
       "picture": "fu/fu-10s-run1.svg",
       "check": "fu/fu-10s-run1-check.txt"
      },
      {
       "run": 2,
       "density_percent": "91.7241",
       "used_length": "776.78572",
       "strip_width": "950",
       "layout": "fu/fu-10s-run2.json",
       "picture": "fu/fu-10s-run2.svg",
       "check": "fu/fu-10s-run2-check.txt"
      },
      {
       "run": 3,
       "density_percent": "90.4397",
       "used_length": "787.81801",
       "strip_width": "950",
       "layout": "fu/fu-10s-run3.json",
       "picture": "fu/fu-10s-run3.svg",
       "check": "fu/fu-10s-run3-check.txt"
      },
      {
       "run": 4,
       "density_percent": "90.4299",
       "used_length": "787.903232",
       "strip_width": "950",
       "layout": "fu/fu-10s-run4.json",
       "picture": "fu/fu-10s-run4.svg",
       "check": "fu/fu-10s-run4-check.txt"
      },
      {
       "run": 5,
       "density_percent": "90.6818",
       "used_length": "785.714292",
       "strip_width": "950",
       "layout": "fu/fu-10s-run5.json",
       "picture": "fu/fu-10s-run5.svg",
       "check": "fu/fu-10s-run5-check.txt"
      }
     ]
    },
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     "median_run": 3,
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      "91.94",
      "91.94"
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      {
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       "density_percent": "89.7143",
       "used_length": "794.187424",
       "strip_width": "950",
       "layout": "fu/fu-30s-run1.json",
       "picture": "fu/fu-30s-run1.svg",
       "check": "fu/fu-30s-run1-check.txt"
      },
      {
       "run": 2,
       "density_percent": "91.2000",
       "used_length": "781.25001",
       "strip_width": "950",
       "layout": "fu/fu-30s-run2.json",
       "picture": "fu/fu-30s-run2.svg",
       "check": "fu/fu-30s-run2-check.txt"
      },
      {
       "run": 3,
       "density_percent": "91.4771",
       "used_length": "778.883498",
       "strip_width": "950",
       "layout": "fu/fu-30s-run3.json",
       "picture": "fu/fu-30s-run3.svg",
       "check": "fu/fu-30s-run3-check.txt"
      },
      {
       "run": 4,
       "density_percent": "91.9355",
       "used_length": "775.0",
       "strip_width": "950",
       "layout": "fu/fu-30s-run4.json",
       "picture": "fu/fu-30s-run4.svg",
       "check": "fu/fu-30s-run4-check.txt"
      },
      {
       "run": 5,
       "density_percent": "91.9355",
       "used_length": "775.000003",
       "strip_width": "950",
       "layout": "fu/fu-30s-run5.json",
       "picture": "fu/fu-30s-run5.svg",
       "check": "fu/fu-30s-run5-check.txt"
      }
     ]
    },
    "60": {
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     "highest_percent": "91.94",
     "median_run": 1,
     "runs_percent": [
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      "91.94",
      "91.71",
      "91.94",
      "91.94"
     ],
     "runs": 5,
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     "each_run": [
      {
       "run": 1,
       "density_percent": "91.9355",
       "used_length": "775",
       "strip_width": "950",
       "layout": "fu/fu-60s-run1.json",
       "picture": "fu/fu-60s-run1.svg",
       "check": "fu/fu-60s-run1-check.txt"
      },
      {
       "run": 2,
       "density_percent": "91.9355",
       "used_length": "775.000001",
       "strip_width": "950",
       "layout": "fu/fu-60s-run2.json",
       "picture": "fu/fu-60s-run2.svg",
       "check": "fu/fu-60s-run2-check.txt"
      },
      {
       "run": 3,
       "density_percent": "91.7141",
       "used_length": "776.870751",
       "strip_width": "950",
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