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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 78.5 89 40.4 11 3.2 2.7 1.8
qwen3-14b 77.8 86.6 39.9 12 3.2 2.9 1.4
qwen2.5-coder-14b-instruct 76 88.4 39 12 3.3 2.7 2
google_gemma_3_27b_it 75.6 80.5 37.7 12 3.4 3.2 1.1
qwen2.5-coder-32b-instruct 75.1 86.6 38.6 11 3.4 2.7 2
google_gemma_3_12b_it 73.2 77.4 35.9 11 3.5 3.3 1.1
qwen3-8b 69.9 87.2 35.4 12 3.6 2.9 2.1
qwen3-4b 69.7 82.9 34 12 3.6 3.2 1.6
google_gemma_2_27b_it 67.1 75 31.7 10 3.7 3.4 1.5
mistralai_mixtral_8x22b_instruct_v0.1 65.6 83.5 31.1 11 3.7 3 2.1
qwen2-math-72b-instruct 62.1 82.3 29.5 11 3.8 2.9 2.4
deepseek_r1_distill_qwen_32b 61 87.8 30.9 11 3.8 2.3 3
google_gemma_3_4b_it 60.6 68.9 28.2 13 3.8 3.6 1.3
llama-3.1-8B-instruct 57.3 57.3 26 15 3.9 3.9 0
google_gemma_2_9b_it 55.9 65.9 25.2 11 3.9 3.6 1.4
deepseek_r1_distill_qwen_14b 53 86 26.7 11 3.9 2.3 3.1
qwen3-1.7b 50.4 73.8 22.6 12 3.9 3.3 2
qwen2-7b-instruct 50 84.8 22.9 11 3.9 2.5 3
deepseek_r1_distill_llama_70b 49.6 86 24.9 11 3.9 2.2 3.2
qwen2-72b-instruct 48.2 84.1 23.3 11 3.9 2.2 3.2
qwen2.5-coder-7b-instruct 48.1 86.6 22.5 10 3.9 2.2 3.3
google_codegemma_1.1_7b_it 47.4 70.1 20 13 3.9 3.1 2.3
qwen1.5-14b-chat 45.1 75.6 19.1 12 3.9 3 2.5
qwen2.5-coder-3b-instruct 43.5 81.7 19.7 12 3.9 2.3 3.1
deepseek_v2_lite_chat 42.8 73.8 18 11 3.9 2.8 2.7
qwen1.5-32b-chat 40.9 65.2 17.5 11 3.8 3.1 2.2
mistralai_ministral_8b_instruct_2410 39.7 80.5 17.5 11 3.8 2.3 3.1
llama-3.2-3B-instruct 37.8 37.8 14.7 17 3.8 3.8 0
qwen1.5-72b-chat 37.7 62.2 15.6 11 3.8 2.9 2.4
deepseek_r1_distill_llama_8b 37 76.8 16.6 13 3.8 2.4 2.9
google_gemma_3_1b_it 36 43.3 14.5 13 3.7 3.5 1.3
mistralai_mathstral_7b_v0.1 35.9 74.4 14.9 11 3.7 2.3 2.9
qwen2.5-coder-1.5b-instruct 34.8 76.8 14.4 11 3.7 2.3 2.9
qwen1.5-7b-chat 34.1 65.2 13.4 12 3.7 2.9 2.3
mistralai_mistral_7b_instruct_v0.3 31.6 59.1 11.8 11 3.6 2.8 2.3
mistralai_mixtral_8x7b_instruct_v0.1 31.6 54.9 13 12 3.6 2.8 2.3
qwen2.5-coder-0.5b-instruct 31 68.3 12.7 13 3.6 2.3 2.8
qwen2-math-7b-instruct 29.6 56.1 12 6 3.6 2.5 2.5
deepseek_r1_distill_qwen_7b 26.9 71.3 11.9 11 3.5 2 2.9
llama-3.2-1B-instruct 25.6 25.6 9.17 12 3.4 3.4 0
mistralai_mistral_7b_instruct_v0.1 22.4 51.8 7.7 11 3.3 2.3 2.3
qwen3-0.6b 21.4 48.2 7.64 13 3.2 2.3 2.3
google_gemma_7b_it 20.3 40.2 6.93 13 3.1 2.6 1.8
qwen2-1.5b-instruct 14.1 57.9 5.9 13 2.7 1.2 2.4
google_gemma_2b_it 13.9 26.2 4.02 13 2.7 2.3 1.4
qwen2-0.5b-instruct 7.41 30.5 2.27 13 2 1.1 1.7
mistralai_mistral_7b_instruct_v0.2 6.95 28.7 2.49 10 2 0.98 1.7
qwen1.5-1.8b-chat 4.99 22.6 1.51 11 1.7 0.88 1.5
qwen2-math-1.5b-instruct 3.35 8.54 1.35 4 1.4 0.89 1.1
deepseek_r1_distill_qwen_1.5b 2.58 19.5 0.799 13 1.2 0.42 1.2
qwen1.5-0.5b-chat 1.92 7.93 0.349 13 1.1 0.77 0.74