52 Factorial
52 factorial is an extremely large number, and the website explores its calculations and representations. It provides detailed insights into the mathematical properties of 52 factorial. (czep.net)
Researchers regraded frontier language-model outputs on six widely used physics benchmarks by having faculty and graduate experts scrutinize problem statements, reference solutions, and model responses. Focusing on text-only problems with verifiable final answers, experts distinguished genuine model mistakes from grader errors, incorrect reference solutions, and ambiguous or underspecified questions, then corrected reference answers and repaired or excluded flawed items. The regrading process evaluated model performance changes on retained, expert-validated subsets rather than raw benchmark tallies, and explicitly audited HLE-Physics, CMT-Benchmark, CritPt, UGPhysics, PRISM-Physics, and PHYBench.
The expert corrections produced large score increases, indicating many prior failures were benchmarking artifacts rather than model deficits. GPT-5.6-Sol’s mean@4 rose from 47.3% to 78.7% on HLE-Physics and from 61.0% to 87.2% on CMT-Benchmark, while its corrected pass@4 reached 94.4% on 54 retained CritPt challenges; audited subsets of UGPhysics, PRISM-Physics, and PHYBench also showed substantial gains. These results demonstrate that current closed-ended physics benchmarks substantially understate frontier models’ problem-solving ability and are approaching saturation, underscoring the need for more demanding, expert-validated evaluations to meaningfully measure scientific reasoning.
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52 factorial is an extremely large number, and the website explores its calculations and representations. It provides detailed insights into the mathematical properties of 52 factorial. (czep.net)
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