{ "name": "Lapas Core v1.1 nesting benchmark", "url": "https://lapas.io/benchmarks/", "generatedAt": "2026-07-24T07:24:17.076Z", "runId": "v1_1-parity-flagfree", "baselineRunId": "2026-06", "license": "CC BY 4.0", "versions": { "lapasNew": "Lapas Core v1.1", "lapasPrevious": "Lapas Core v1.0.31", "deepnest": "deepnest-next v1.5.6" }, "metrics": { "density": "Placed part area divided by used plate area, recomputed from output geometry by an independent scorer.", "sheets": "Number of plates consumed. Median across seeds." }, "notes": [ "Density and speed cases run three seeds and report the median. Sheet counts are integers, so any change is a real change.", "The realparts and scale part mixes are synthetic jobs authored for this benchmark so the inputs can be published openly. The density and speed instances are the public ESICUP set from the packing literature.", "Deepnest results in the scale suite are omitted from the published comparison: the recorded numbers are byte-identical to the Lapas run on 3 of 5 cases, which indicates a harness fault rather than a real result. The scale suite is reported as a Lapas version-over-version comparison only." ], "suites": { "density": [ { "caseId": "density-albano", "suite": "density", "description": "ESICUP albano — academic strip-packing instance", "timeBudgetSec": 300, "itemsRequired": 24, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.879042579180844, "densityBest": 0.8841184700512773, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 24 }, "v1_0": { "sheetsMedian": 1, "densityMedian": 0.8783627435263303, "densityBest": 0.8844504232638795, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 24 }, "deepnest": { "sheetsMedian": 1, "densityMedian": 0.8320646064227694, "densityBest": 0.8320646064227694, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 24 } }, { "caseId": "density-dagli", "suite": "density", "description": "ESICUP dagli — academic strip-packing instance", "timeBudgetSec": 300, "itemsRequired": 30, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.8720416063939211, "densityBest": 0.874818225486365, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 30 }, "v1_0": { "sheetsMedian": 1, "densityMedian": 0.8626836241070391, "densityBest": 0.8641372859989425, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 30 }, "deepnest": { "sheetsMedian": 1, "densityMedian": 0.7390918583461762, "densityBest": 0.7414726246247139, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 30 } }, { "caseId": "density-fu", "suite": "density", "description": "ESICUP fu — academic strip-packing instance", "timeBudgetSec": 300, "itemsRequired": 12, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.89677452654449, "densityBest": 0.9190909534658517, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 12 }, "v1_0": { "sheetsMedian": 1, "densityMedian": 0.914102743457249, "densityBest": 0.9145732756843635, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 12 }, "deepnest": { "sheetsMedian": 1, "densityMedian": 0.7808251412261837, "densityBest": 0.7808251412261837, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 12 } }, { "caseId": "density-jakobs1", "suite": "density", "description": "ESICUP jakobs1 — academic strip-packing instance", "timeBudgetSec": 300, "itemsRequired": 25, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.890642528142592, "densityBest": 0.8906918302566278, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 25 }, "v1_0": { "sheetsMedian": 1, "densityMedian": 0.8907906614049552, "densityBest": 0.8908006542394398, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 25 }, "deepnest": { "sheetsMedian": 1, "densityMedian": 0.6999300069993002, "densityBest": 0.6999300069993002, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 25 } }, { "caseId": "density-jakobs2", "suite": "density", "description": "ESICUP jakobs2 — academic strip-packing instance", "timeBudgetSec": 300, "itemsRequired": 25, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.8039951385918221, "densityBest": 0.8040446487302907, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 25 }, "v1_0": { "sheetsMedian": 1, "densityMedian": 0.8363150886884138, "densityBest": 0.8390116199504525, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 25 }, "deepnest": { "sheetsMedian": 1, "densityMedian": 0.64326900643269, "densityBest": 0.64326900643269, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 25 } }, { "caseId": "density-mao", "suite": "density", "description": "ESICUP mao — academic strip-packing instance", "timeBudgetSec": 300, "itemsRequired": 20, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.8397283042830064, "densityBest": 0.8474541151420005, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 20 }, "v1_0": { "sheetsMedian": 1, "densityMedian": 0.8457493306471453, "densityBest": 0.8517513417000155, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 20 }, "deepnest": { "sheetsMedian": 1, "densityMedian": 0.7864014517593947, "densityBest": 0.7964180258927982, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 20 } }, { "caseId": "density-marques", "suite": "density", "description": "ESICUP marques — academic strip-packing instance", "timeBudgetSec": 300, "itemsRequired": 24, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.8960750010700337, "densityBest": 0.8977520199570199, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 24 }, "v1_0": { "sheetsMedian": 1, "densityMedian": 0.8879118802777438, "densityBest": 0.8939574758430844, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 24 }, "deepnest": { "sheetsMedian": 1, "densityMedian": 0.7480866339776642, "densityBest": 0.7644942442916314, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 24 } }, { "caseId": "density-shirts", "suite": "density", "description": "ESICUP shirts — academic strip-packing instance", "timeBudgetSec": 300, "itemsRequired": 99, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.8826994439778124, "densityBest": 0.8924175740818139, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 99 }, "v1_0": { "sheetsMedian": 1, "densityMedian": 0.8771571466825226, "densityBest": 0.8815285967060541, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 99 }, "deepnest": { "sheetsMedian": 1, "densityMedian": 0.7238058105197639, "densityBest": 0.7256439005518849, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 99 } }, { "caseId": "density-swim", "suite": "density", "description": "ESICUP swim — academic strip-packing instance", "timeBudgetSec": 300, "itemsRequired": 48, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.7506899251054415, "densityBest": 0.7598415652019872, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 48 }, "v1_0": { "sheetsMedian": 1, "densityMedian": 0.7683361894763994, "densityBest": 0.7722512294722294, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 48 }, "deepnest": { "sheetsMedian": 1, "densityMedian": 0.6591363481680607, "densityBest": 0.6624019603719727, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 48 } }, { "caseId": "density-trousers", "suite": "density", "description": "ESICUP trousers — academic strip-packing instance", "timeBudgetSec": 300, "itemsRequired": 64, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.9012122933986333, "densityBest": 0.9026886949883599, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 64 }, "v1_0": { "sheetsMedian": 1, "densityMedian": 0.9019134371510402, "densityBest": 0.9099906181032936, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 64 }, "deepnest": { "sheetsMedian": 1, "densityMedian": 0.7195034481970028, "densityBest": 0.7499392154162488, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 64 } } ], "realparts": [ { "caseId": "realparts-brackets-mixed", "suite": "realparts", "description": "Bracket production batch: L/T/Z brackets and gussets", "timeBudgetSec": 300, "itemsRequired": 442, "v1_1": { "sheetsMedian": 3, "densityMedian": 0.5365592592592593, "densityBest": 0.5365592592592593, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 442 }, "v1_0": { "sheetsMedian": 3, "densityMedian": 0.5365592592592593, "densityBest": 0.5365592592592593, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 442 }, "deepnest": { "sheetsMedian": 3, "densityMedian": 0.5365592592592593, "densityBest": 0.5365592592592593, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 442 } }, { "caseId": "realparts-channels", "suite": "realparts", "description": "U-channel flat patterns in three sizes", "timeBudgetSec": 300, "itemsRequired": 272, "v1_1": { "sheetsMedian": 3, "densityMedian": 0.5353185185185185, "densityBest": 0.5353185185185185, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 272 }, "v1_0": { "sheetsMedian": 3, "densityMedian": 0.5353185185185185, "densityBest": 0.5353185185185185, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 272 }, "deepnest": { "sheetsMedian": 3, "densityMedian": 0.5353185185185185, "densityBest": 0.5353185185185185, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 272 } }, { "caseId": "realparts-chevrons", "suite": "realparts", "description": "Chevron plates and slotted strips (interlocking shapes)", "timeBudgetSec": 300, "itemsRequired": 367, "v1_1": { "sheetsMedian": 2, "densityMedian": 0.8078722222222222, "densityBest": 0.8078722222222222, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 367 }, "v1_0": { "sheetsMedian": 2, "densityMedian": 0.8078722222222222, "densityBest": 0.8078722222222222, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 367 }, "deepnest": { "sheetsMedian": 3, "densityMedian": 0.5385814814814814, "densityBest": 0.5385814814814814, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 367 } }, { "caseId": "realparts-flanges", "suite": "realparts", "description": "Round flange blanks and discs with rectangular spacers", "timeBudgetSec": 300, "itemsRequired": 232, "v1_1": { "sheetsMedian": 3, "densityMedian": 0.5384487827555571, "densityBest": 0.5384487827555571, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 232 }, "v1_0": { "sheetsMedian": 3, "densityMedian": 0.5384487827555571, "densityBest": 0.5384487827555576, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 232 }, "deepnest": { "sheetsMedian": 3, "densityMedian": 0.5384487827555577, "densityBest": 0.5384487827555577, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 232 } }, { "caseId": "realparts-gussets-dense", "suite": "realparts", "description": "Dense gusset job: many small triangles and trapezoids", "timeBudgetSec": 300, "itemsRequired": 364, "v1_1": { 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"ok", "ok" ], "itemsRequired": 103 }, "deepnest": { "sheetsMedian": 3, "densityMedian": 0.5346814814814815, "densityBest": 0.5346814814814815, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 103 } }, { "caseId": "realparts-mixed-batch", "suite": "realparts", "description": "Job-shop mixed batch: one of everything", "timeBudgetSec": 300, "itemsRequired": 187, "v1_1": { "sheetsMedian": 2, "densityMedian": 0.8112338185777777, "densityBest": 0.8112338185777777, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 187 }, "v1_0": { "sheetsMedian": 2, "densityMedian": 0.8112338185777777, "densityBest": 0.8112338185777777, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 187 }, "deepnest": { "sheetsMedian": 3, "densityMedian": 0.5408225457185185, "densityBest": 0.5408225457185185, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 187 } }, { "caseId": "realparts-plates-large", "suite": "realparts", "description": "Large plates with corner chamfers + small filler parts", "timeBudgetSec": 300, "itemsRequired": 65, "v1_1": { "sheetsMedian": 2, "densityMedian": 0.7825111111111112, "densityBest": 0.7825111111111112, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 65 }, "v1_0": { "sheetsMedian": 2, "densityMedian": 0.7825111111111112, "densityBest": 0.7825111111111112, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 65 }, "deepnest": { "sheetsMedian": 2, "densityMedian": 0.7825111111111112, "densityBest": 0.7825111111111112, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 65 } }, { "caseId": "realparts-small-parts", "suite": "realparts", "description": "High-count small part run (laser job shop typical)", "timeBudgetSec": 300, "itemsRequired": 1310, "v1_1": { "sheetsMedian": 3, "densityMedian": 0.5377947480888946, "densityBest": 0.5377947480888946, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 1310 }, "v1_0": { "sheetsMedian": 3, 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"itemsRequired": 26 } } ], "speed": [ { "caseId": "speed-albano-10s", "suite": "speed", "description": "ESICUP albano at a 10s budget (300s point comes from the density suite)", "timeBudgetSec": 10, "itemsRequired": 24, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.8723024029296781, "densityBest": 0.8723666511974544, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 24 }, "v1_0": { "sheetsMedian": 1, "densityMedian": 0.8718735195249558, "densityBest": 0.875542830259655, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 24 }, "deepnest": { "sheetsMedian": 1, "densityMedian": 0.7871568476491251, "densityBest": 0.8105977115533676, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 24 } }, { "caseId": "speed-albano-30s", "suite": "speed", "description": "ESICUP albano at a 30s budget (300s point comes from the density suite)", "timeBudgetSec": 30, "itemsRequired": 24, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.8744631783361935, 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density suite)", "timeBudgetSec": 30, "itemsRequired": 99, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.8614200538301391, "densityBest": 0.863356599034988, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 99 }, "v1_0": { "sheetsMedian": 1, "densityMedian": 0.8634488019152189, "densityBest": 0.8671642198022345, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 99 }, "deepnest": { "sheetsMedian": 1, "densityMedian": 0.7117663654532479, "densityBest": 0.7120408576111763, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 99 } }, { "caseId": "speed-shirts-60s", "suite": "speed", "description": "ESICUP shirts at a 60s budget (300s point comes from the density suite)", "timeBudgetSec": 60, "itemsRequired": 99, "v1_1": { "sheetsMedian": 1, "densityMedian": 0.8719248622948074, "densityBest": 0.8755868864324894, "validRuns": 3, "statuses": [ "ok", "ok", "ok" ], "itemsRequired": 99 }, "v1_0": { "sheetsMedian": 1, "densityMedian": 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