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the 15 single-format orders from rectangle-mixed-24, rectangle-mixed-96 and rectangle-repeated-256. Multi-format stock is outside Refined's supported scope and excluded. Grain and guillotine cases are outside this shared comparison.","corpus":"Synthetic development orders, five distinct input-generation seeds per scenario (101,307,509,701,907); fixed Refined seed 2026. Not a held-out validation corpus.","design":"One observation per input/profile/solver. Sequential fresh processes with alternating solver order. Profiles are not independent orders.","hardware":"Windows 11, AMD Ryzen 7 5700X3D, 64 GiB RAM. Other workstation activity is not controlled.","scoring":"Only independently valid and complete pairs receive wins, ties or losses. Primary cost and sheet/container count precede secondary layout criteria in the full product score.","time_limits_seconds":{"rectangles":null,"polygons":[3,15,60],"packing":[2.5,5,15]},"timing":"Median elapsed time over the same comparable pairs, including native process startup and certificate import. Single observations, not repeated speed measurements.","primary_results":"Rectangles: all 45 primary ties. Polygons: all 84 comparable pairs primary ties. Packing: 89 primary ties and 8 primary losses for Refined. All Refined full-score wins in this publication concern secondary criteria.","packing_contract":"Both solvers use support.mode=none; geometric packing, not a supported physical loading plan. A separate support-required Refined cohort had 105/105 valid complete runs; it is not part of the quality comparison.","exclusions":"Six polygon error pairs and eight non-comparable packing pairs remain visible and are excluded from win/tie/loss counts.","interpretation":"30 September rectangles and 28 September polygons/packing are separate dated measurements with different revisions and budget policies. No combined score, general optimality, speed or savings guarantee."}}