math500_cot: by models

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SE predicted by accuracy

The typical standard errors between pairs of models on this dataset as a function of the absolute accuracy.

SE vs accuracy difference

The standard error of each model pair against their observed accuracy difference. Pairs below a reference line differ by more than the corresponding number of standard errors, i.e. they are statistically distinguishable at that level.

CDF of question level accuracy

Results table by model

model pass1 pass@count win_rate count SE(A) SE_x(A) SE_pred(A)
google_gemma_3_27b_it 85.3 94.2 42.2 11 1.6 1.3 0.92
deepseek_r1_distill_qwen_32b 83.9 95.2 41.3 10 1.6 1.2 1.1
qwen3-32b 81.9 92.8 39.4 9 1.7 1.3 1.1
deepseek_r1_distill_llama_70b 81.1 94.2 39.4 10 1.7 1.3 1.2
qwen3-14b 81 93 38.7 11 1.8 1.4 1.1
qwen2-math-72b-instruct 80.4 91.4 38.1 7 1.8 1.5 1
qwen3-8b 79.2 93.4 37.3 11 1.8 1.5 1.1
google_gemma_3_12b_it 79 92 37.3 12 1.8 1.5 1
deepseek_r1_distill_qwen_14b 78.9 94.2 37.9 12 1.8 1.3 1.3
qwen3-4b 77.2 92.2 36 12 1.9 1.5 1.1
deepseek_r1_distill_qwen_7b 77.1 93 36.5 12 1.9 1.4 1.3
qwen2.5-coder-32b-instruct 76.1 90.2 35 10 1.9 1.5 1.2
qwen2.5-coder-14b-instruct 71.3 89 31.7 11 2 1.6 1.2
deepseek_r1_distill_llama_8b 70.4 91.2 32.7 12 2 1.5 1.4
qwen2-math-1.5b-instruct 68 68 29.7 1 2.1 NaN NaN
deepseek_r1_distill_qwen_1.5b 67.6 89.6 30.1 12 2.1 1.5 1.4
qwen3-1.7b 66.7 87 29.1 12 2.1 1.6 1.3
llama-3.1-70B-instruct 65.6 65.8 28.7 12 2.1 2.1 0.21
google_gemma_3_4b_it 65.1 84.8 29.1 12 2.1 1.7 1.3
qwen2-72b-instruct 64.5 83.6 27.2 10 2.1 1.7 1.3
qwen2.5-coder-7b-instruct 61 86.8 25.7 12 2.2 1.6 1.5
google_gemma_2_27b_it 52.3 74.2 20.4 10 2.2 1.9 1.2
qwen2-7b-instruct 51.7 80.2 20.1 12 2.2 1.7 1.5
mistralai_ministral_8b_instruct_2410 49.3 79.2 18.9 12 2.2 1.7 1.5
mistralai_mixtral_8x22b_instruct_v0.1 48.1 77.8 18.4 9 2.2 1.7 1.5
llama-3.1-8B-instruct 47.6 58.6 18 13 2.2 2 1.1
mistralai_mathstral_7b_v0.1 47 76.6 17.7 12 2.2 1.7 1.5
qwen2.5-coder-3b-instruct 46.9 80 18.4 11 2.2 1.5 1.6
google_gemma_2_9b_it 46.4 67.8 16.9 11 2.2 1.9 1.2
llama-3.2-3B-instruct 44.1 55.6 16.6 18 2.2 1.9 1.1
qwen1.5-72b-chat 40.3 73 14.7 10 2.2 1.6 1.5
qwen1.5-32b-chat 38.9 70.4 14.1 9 2.2 1.6 1.5
qwen3-0.6b 33.7 71.4 12.2 13 2.1 1.5 1.5
qwen2.5-coder-1.5b-instruct 32.8 66.4 11.3 12 2.1 1.5 1.5
qwen1.5-14b-chat 30.5 63.6 10.3 11 2.1 1.5 1.4
llama-3.2-1B-instruct 27.9 28.2 9.67 11 2 2 0.23
mistralai_mixtral_8x7b_instruct_v0.1 25.2 61.2 8.44 11 1.9 1.3 1.4
deepseek_v2_lite_chat 22.5 55.8 7.25 9 1.9 1.2 1.4
google_codegemma_1.1_7b_it 20.8 52 6.55 12 1.8 1.3 1.3
qwen1.5-7b-chat 16.5 45.4 5.19 11 1.7 1.1 1.3
google_gemma_3_1b_it 14.5 43.2 5.93 12 1.6 1 1.2
mistralai_mistral_7b_instruct_v0.3 12.9 41 3.86 12 1.5 0.95 1.2
mistralai_mistral_7b_instruct_v0.2 10.1 37.6 2.98 12 1.3 0.82 1.1
qwen2.5-coder-0.5b-instruct 8.03 32.6 2.48 13 1.2 0.7 1
qwen2-1.5b-instruct 6.8 31.6 1.96 12 1.1 0.53 0.99
mistralai_mistral_7b_instruct_v0.1 6.4 26.8 1.99 12 1.1 0.58 0.93
google_gemma_7b_it 5.77 21.4 1.68 12 1 0.68 0.79
qwen2-0.5b-instruct 2.91 19.4 0.985 13 0.75 0.31 0.69
qwen1.5-1.8b-chat 1.42 10.6 0.434 11 0.53 0.16 0.5
qwen1.5-0.5b-chat 0.8 6.6 0.307 12 0.4 0.11 0.38
google_gemma_2b_it 0.117 1.4 0.047 12 0.15 0 0.15