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A peer-reviewed Scientific Reports article systematically analyzes reasoning chain length across o1-mini and o3-mini variants on the Omni-MATH benchmark, with explicit comparison of o3-mini (m) versus o3-mini (h). The paper finds that o3-mini (medium) achieves superior accuracy over o1-mini without requiring longer rea Critically for the o3-mini-high subject, the study reports that o3-mini (high) achieves only a marginal accuracy gain over o3-mini (medium) by allocating substantially more reasoning tokens across all problems, including ones the medium setting can already solve. The accuracy drop with longer chains is significantly sm
