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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)
qwen3-32b 92 94.2 33.7 2 1 0.85 0.56
qwen3-14b 89.7 92.8 32.1 3 1.1 0.98 0.57
google_gemma_3_27b_it 88.7 92.5 31.6 3 1.2 0.99 0.65
qwen2-72b-instruct 88.7 92 31.6 2 1.2 0.97 0.67
llama-3.1-70B-instruct 87.8 87.8 31.2 4 1.2 1.2 0
deepseek_r1_distill_llama_70b 87.4 91.8 31 2 1.2 0.96 0.79
qwen3-8b 87.1 93 30.5 3 1.3 1 0.75
qwen2.5-coder-32b-instruct 85.8 90.4 29.6 2 1.3 1 0.81
google_gemma_3_12b_it 85 89.3 29 3 1.3 1.2 0.64
google_gemma_2_27b_it 83.9 88.5 28.7 2 1.4 1.1 0.8
qwen3-4b 83.4 90.3 28.8 4 1.4 1.2 0.74
deepseek_r1_distill_qwen_32b 82.8 88.6 28.6 2 1.4 1.1 0.9
deepseek_r1_distill_qwen_14b 82.4 91.8 27.9 4 1.4 1.1 0.9
qwen1.5-72b-chat 81.9 88.7 27.5 2 1.4 1.1 0.98
google_gemma_2_9b_it 80.1 87.1 26.4 3 1.5 1.2 0.84
qwen2.5-coder-14b-instruct 79.1 91 26.2 3 1.5 1.1 1.1
qwen1.5-32b-chat 79 85.7 26 2 1.5 1.2 0.96
mistralai_mixtral_8x22b_instruct_v0.1 77.4 87.1 27 2 1.6 1.1 1.2
qwen2-math-72b-instruct 75.1 86.8 25.2 2 1.6 0.99 1.3
mistralai_mixtral_8x7b_instruct_v0.1 72.1 84.7 23 3 1.7 1.3 1.1
qwen3-1.7b 71.4 83.8 23 4 1.7 1.4 0.99
qwen1.5-14b-chat 69.9 80.3 21.7 3 1.7 1.4 1
llama-3.1-8B-instruct 69.1 69.1 21.2 7 1.7 1.7 0
qwen2-7b-instruct 68.6 88.6 21.5 4 1.7 1.2 1.3
google_gemma_3_4b_it 68.3 83.3 21.4 5 1.7 1.4 1
qwen2.5-coder-7b-instruct 67 87.5 21 4 1.8 1.2 1.3
mistralai_ministral_8b_instruct_2410 66.5 85.1 20.6 3 1.8 1.1 1.4
deepseek_r1_distill_llama_8b 60.7 85.1 19 4 1.8 1.1 1.5
mistralai_mistral_7b_instruct_v0.3 59.9 79 18.1 4 1.8 1.3 1.3
qwen1.5-7b-chat 59.8 76.7 17.8 3 1.8 1.4 1.2
qwen2-math-7b-instruct 58.7 85 18.9 4 1.8 1.2 1.4
llama-3.2-3B-instruct 58.5 58.5 17.6 10 1.8 1.8 0
deepseek_v2_lite_chat 54.6 66.9 16.3 2 1.9 1.3 1.3
mistralai_mathstral_7b_v0.1 52.9 81.9 15.9 4 1.9 1.1 1.5
google_codegemma_1.1_7b_it 52.3 76.2 15.5 5 1.9 1.4 1.3
mistralai_mistral_7b_instruct_v0.2 52.2 74 15.4 4 1.9 1.3 1.3
qwen2.5-coder-3b-instruct 51.8 82.1 15.9 4 1.9 1.1 1.5
deepseek_r1_distill_qwen_7b 49.4 76.4 14.8 4 1.9 1.2 1.5
google_gemma_7b_it 47.9 67.7 14.4 4 1.9 1.4 1.3
qwen3-0.6b 47.2 76.8 14.4 5 1.9 1.3 1.4
mistralai_mistral_7b_instruct_v0.1 41.7 72 12 4 1.8 1.1 1.5
google_gemma_3_1b_it 34.8 58.9 10.1 4 1.8 1.2 1.3
google_gemma_2b_it 32.2 45.4 9.9 4 1.8 1.4 0.99
qwen2-1.5b-instruct 31.2 62.6 9.15 4 1.7 0.99 1.4
qwen2.5-coder-1.5b-instruct 31.1 68.8 9.98 4 1.7 0.69 1.6
llama-3.2-1B-instruct 29.3 29.3 8.74 13 1.7 1.7 0
qwen1.5-1.8b-chat 24 46.6 7.02 3 1.6 0.81 1.4
deepseek_r1_distill_qwen_1.5b 21.8 50.4 6.34 4 1.5 0.73 1.4
qwen2-math-1.5b-instruct 21.8 52.3 7.79 4 1.5 0.71 1.4
qwen2-0.5b-instruct 18.5 56 6.14 5 1.5 0.49 1.4
qwen2.5-coder-0.5b-instruct 18.1 58.6 6.47 5 1.4 0.35 1.4
qwen1.5-0.5b-chat 15.1 48.5 5.34 5 1.3 0.5 1.2