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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 49.4 83 31.9 11 2.4 1.7 1.6
llama-3.1-70B-instruct 43.8 43.8 27.6 13 2.3 2.3 0
google_gemma_3_27b_it 43.4 71 27.5 7 2.3 1.7 1.6
qwen3-14b 41.7 67.2 25.7 11 2.3 1.9 1.4
qwen2-math-72b-instruct 40.6 80.4 25.4 10 2.3 1.5 1.7
qwen3-8b 40.1 66.3 24.8 11 2.3 1.8 1.4
qwen2.5-coder-32b-instruct 39.5 72.3 24.3 10 2.3 1.7 1.6
qwen2-72b-instruct 39 70.1 23.5 10 2.3 1.8 1.5
google_gemma_3_12b_it 37.4 76.8 23.4 12 2.3 1.6 1.6
qwen3-4b 36.7 63.2 22.5 12 2.3 1.8 1.3
qwen2.5-coder-14b-instruct 34.6 82.1 21.3 11 2.2 1.3 1.8
qwen1.5-32b-chat 32.5 75.9 19.7 11 2.2 1.4 1.7
mistralai_mixtral_8x22b_instruct_v0.1 32.2 74.6 19.6 11 2.2 1.4 1.7
llama-3.1-8B-instruct 31.7 31.7 19.9 15 2.2 2.2 0
qwen3-1.7b 31.6 66.7 20.2 12 2.2 1.6 1.5
qwen1.5-72b-chat 31.5 67.4 19 10 2.2 1.5 1.6
deepseek_r1_distill_qwen_32b 31.5 53.6 19 10 2.2 1.8 1.3
qwen2.5-coder-7b-instruct 30.9 88.2 19.5 11 2.2 1.1 1.9
mistralai_mathstral_7b_v0.1 30.8 81.2 19 11 2.2 1.2 1.8
mistralai_ministral_8b_instruct_2410 30.8 81.5 19.3 12 2.2 1.2 1.9
google_gemma_2_9b_it 30.7 65.6 18.1 12 2.2 1.6 1.5
google_gemma_3_4b_it 30.4 72.8 19.2 13 2.2 1.5 1.6
mistralai_mixtral_8x7b_instruct_v0.1 29.8 74.1 18 11 2.2 1.3 1.7
llama-3.2-3B-instruct 29.7 29.7 18.7 17 2.2 2.2 0
deepseek_r1_distill_qwen_14b 28.6 51.6 17 11 2.1 1.7 1.3
qwen1.5-14b-chat 28.6 68.8 17.6 11 2.1 1.4 1.6
qwen2-math-7b-instruct 28.5 81.7 18.3 12 2.1 1.1 1.9
google_codegemma_1.1_7b_it 28.1 76.6 18.2 13 2.1 1.2 1.7
qwen2-7b-instruct 27.7 76.3 17.1 11 2.1 1.2 1.7
mistralai_mistral_7b_instruct_v0.3 27.4 73.7 16.8 11 2.1 1.3 1.7
qwen2.5-coder-3b-instruct 27 89.1 17.7 12 2.1 0.75 2
google_gemma_7b_it 26.7 60.9 17.1 12 2.1 1.5 1.5
deepseek_r1_distill_llama_70b 26.3 44.9 15.3 10 2.1 1.7 1.2
mistralai_mistral_7b_instruct_v0.1 25.2 83.7 16.7 11 2.1 0.85 1.9
google_gemma_3_1b_it 24.6 73.7 16.7 12 2 1 1.7
deepseek_v2_lite_chat 24.5 78.1 15.8 11 2 0.99 1.8
deepseek_r1_distill_qwen_7b 24.4 50.2 14.3 11 2 1.5 1.3
mistralai_mistral_7b_instruct_v0.2 24.1 70.8 14.8 11 2 1.2 1.7
deepseek_r1_distill_llama_8b 23.8 52.5 13.6 12 2 1.5 1.4
qwen3-0.6b 23.6 68.3 15.6 13 2 1.2 1.6
qwen2-math-1.5b-instruct 23.1 81.5 15.3 11 2 0.79 1.8
qwen1.5-7b-chat 20.4 72.5 12.9 12 1.9 0.85 1.7
qwen2.5-coder-1.5b-instruct 19.1 88.8 13.1 12 1.9 0.34 1.8
qwen2.5-coder-0.5b-instruct 18 88.2 13 13 1.8 0.36 1.8
llama-3.2-1B-instruct 15.4 15.4 10.8 12 1.7 1.7 0
qwen2-1.5b-instruct 12.5 70.3 8.35 12 1.6 0.36 1.5
google_gemma_2b_it 12.1 50 8.34 12 1.5 0.72 1.4
qwen2-0.5b-instruct 12 75 8.48 13 1.5 0.28 1.5
deepseek_r1_distill_qwen_1.5b 10.9 40.2 6.08 12 1.5 0.81 1.2
qwen1.5-0.5b-chat 8.6 63.4 6.18 13 1.3 0.2 1.3
qwen1.5-1.8b-chat 7.92 54.5 5.37 12 1.3 0.29 1.2