Extended Data Fig. 6: Analysis of AlphaGeometry performance under changes made to its training and testing.
From: Solving olympiad geometry without human demonstrations

a, The effect of reducing training data on AlphaGeometry performance. At 20% of training data, AlphaGeometry still solves 21 problems, outperforming all other baselines. b, Evaluation on a larger set of 231 geometry problems, covering a diverse range of sources outside IMO competitions. The rankings of different machine solvers stays the same as in Table 1, with AlphaGeometry solving almost all problems. c, The effect of reducing beam size during test time on AlphaGeometry performance. At beam size 8, that is, a 64 times reduction from its full setting, AlphaGeometry still solves 21 problems, outperforming all other baselines. d, The effect of reducing search depth on AlphaGeometry performance. At depth 2, AlphaGeometry still solves 21 problems, outperforming all other baselines.