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An incumbent is a feasible solution, not a proof of completion.", "tracks": [ { "id": "algorithm-native", "title": "Ordinary native branch-and-bound", "cases": [ { "id": "test_knapsack_large_1312000-native", "name": "Knapsack \u00b7 80 binary variables", "before": { "median_ms": null, "min_ms": null, "max_ms": null, "completed": 0, "attempts": 3, "timeouts": 3, "errors": 0 }, "after": { "median_ms": 12.553374283015728, "min_ms": 11.290207505226135, "max_ms": 13.358999975025654, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 } }, { "id": "test_facility_location_large_1812000-native", "name": "Facility location \u00b7 128 binary variables", "before": { "median_ms": 453.428165987134, "min_ms": 452.26533245295286, "max_ms": 454.3928746134043, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 }, "after": { "median_ms": 453.9887495338917, "min_ms": 453.6459157243371, "max_ms": 458.18787440657616, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 } }, { "id": "test_assignment_large_2012000-native", "name": "Assignment \u00b7 144 binary variables", "before": { "median_ms": 105.3372910246253, "min_ms": 104.06399983912706, "max_ms": 106.55704233795404, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 }, "after": { "median_ms": 106.49841744452715, "min_ms": 106.2516663223505, "max_ms": 106.59216716885567, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 } }, { "id": "test_tsp_large_2412000-native", "name": "Binary TSP \u00b7 120 binary variables", "before": { "median_ms": 34.84945930540562, "min_ms": 34.164207987487316, "max_ms": 35.4672921821475, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 }, "after": { "median_ms": 34.38812494277954, "min_ms": 34.061708487570286, "max_ms": 35.40045861154795, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 } }, { "id": "test_production_large_2712000-native", "name": "Production \u00b7 120 binary variables", "before": { "median_ms": 19.91220936179161, "min_ms": 19.122040830552578, "max_ms": 20.08245885372162, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 }, "after": { "median_ms": 20.601334050297737, "min_ms": 19.451250322163105, "max_ms": 20.855040289461613, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 } }, { "id": "test_bin_packing_small_2202000-native", "name": "Bin packing \u00b7 44 binary variables", "before": { "median_ms": 10.739082470536232, "min_ms": 10.002374649047852, "max_ms": 11.041291989386082, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 }, "after": { "median_ms": 10.90866606682539, "min_ms": 9.933915920555592, "max_ms": 10.994208045303822, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 } }, { "id": "test_native_tsp_large_9112000-native", "name": "Circuit TSP \u00b7 12 cities", "before": { "median_ms": 20.058459602296352, "min_ms": 19.9796250090003, "max_ms": 21.067707799375057, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 }, "after": { "median_ms": 21.93458378314972, "min_ms": 18.84749997407198, "max_ms": 22.63270877301693, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 } }, { "id": "test_weighted_queens_large_9312000-native", "name": "Weighted queens \u00b7 12 queens", "before": { "median_ms": 19.399458542466164, "min_ms": 19.37283296138048, "max_ms": 20.102624781429768, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 }, "after": { "median_ms": 21.021916531026363, "min_ms": 20.0659167021513, "max_ms": 22.3385002464056, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 } } ], "completion": { "before": 7, "after": 8, "total": 8 }, "before_label": "Before algorithms", "after_label": "Now", "description": "Both versions support every problem shown. Completion requires a solver proof and an independently checked optimum.", "protocol": "Same driver \u00b7 3 paired repetitions \u00b7 2 s solver limit", "note": "External wall time includes process startup and model construction. Bars require all three repetitions to complete; unfinished runs have no completion-time bar. Small timing differences can reflect ordinary desktop activity." }, { "id": "algorithm-dfs", "title": "Explicit depth-first frontier", "cases": [ { "id": "test_knapsack_large_1312000-dfs", "name": "Knapsack \u00b7 80 binary variables", "before": { "median_ms": null, "min_ms": null, "max_ms": null, "completed": 0, "attempts": 3, "timeouts": 3, "errors": 0 }, "after": { "median_ms": 10.455458424985409, "min_ms": 10.309416800737381, "max_ms": 11.061125434935093, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 } }, { "id": "test_bin_packing_small_2202000-dfs", "name": "Bin packing \u00b7 44 binary variables", "before": { "median_ms": 10.828499682247639, "min_ms": 10.11616736650467, "max_ms": 11.231082491576672, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 }, "after": { "median_ms": 10.56750025600195, "min_ms": 10.257834568619728, "max_ms": 10.90487465262413, "completed": 3, "attempts": 3, "timeouts": 0, "errors": 0 } } ], "completion": { "before": 1, "after": 2, "total": 2 }, "before_label": "Before algorithms", "after_label": "Now", "description": "Both versions support every problem shown. Completion requires a solver proof and an independently checked optimum.", "protocol": "Same driver \u00b7 3 paired repetitions \u00b7 2 s solver limit", "note": "External wall time includes process startup and model construction. Bars require all three repetitions to complete; unfinished runs have no completion-time bar. Small timing differences can reflect ordinary desktop activity." } ], "unfinished": [ { "id": "test_knapsack_large_1312000-native", "name": "Knapsack \u00b7 80 binary variables / native", "optimum": -2464, "before": "-1947, -1947, -1947", "after": "-2464, -2464, -2464" }, { "id": "test_knapsack_large_1312000-dfs", "name": "Knapsack \u00b7 80 binary variables / dfs", "optimum": -2464, "before": "-1792, -1780, -1792", "after": "-2464, -2464, -2464" } ], "fast": { "passed": 35, "required": 35, "external_ms": 5843.861166387796 }, "evidence": { "source_commit": "5d533bcd4f66e9f065e24bac5ed7a7c976d715db", "headline": "Knapsack: a two-second timeout becomes a proved optimum in 10\u201313 ms.", "conclusion": "Every current run completed: 8/8 ordinary native models and 2/2 depth-first models, each repeated three times. 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