Budget Boundary Effects in Test-Time Mathematical Reasoning
A cumulative token cap can fall inside a mathematical derivation, forcing a test-time controller to choose between stopping at the cap (strict) and allowing the current attempt to finish (advisory). We measure this boundary choice with paired offline replays of 19,200 public traces: 120 AIME, BrUMO and HMMT problems an...
Gui-Lin Zhang, Zi-Qi Tan, Wu-Lan Guo et al.
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