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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 50.2 62.9 33.6 2 2.4 1.7 1.7
google_gemma_3_27b_it 47.3 47.3 31.8 1 2.4 NaN NaN
llama-3.1-70B-instruct 45.3 45.3 30.4 4 2.4 2.4 0
qwen3-14b 43.2 59.6 27.9 3 2.3 1.8 1.5
qwen2.5-coder-32b-instruct 39.7 52.5 25.5 2 2.3 1.6 1.7
qwen3-8b 39 54 24.8 3 2.3 1.8 1.5
qwen2-72b-instruct 36.5 48 23 2 2.3 1.6 1.6
qwen3-4b 35.8 51.3 22.7 4 2.3 1.8 1.3
qwen2-math-72b-instruct 35.3 52.5 22.7 2 2.3 1.1 2
google_gemma_3_12b_it 35 57.1 22.6 4 2.3 1.6 1.6
qwen1.5-32b-chat 32.3 45.8 20.2 2 2.2 1.4 1.7
qwen3-1.7b 32.1 53.6 21.1 4 2.2 1.6 1.5
qwen2.5-coder-14b-instruct 31.8 56 20 3 2.2 1.3 1.8
llama-3.1-8B-instruct 31.7 31.7 20.4 7 2.2 2.2 0
mistralai_mixtral_8x22b_instruct_v0.1 31.6 46.2 19.9 2 2.2 1.2 1.8
google_gemma_2_9b_it 30.6 46.4 18.8 3 2.2 1.6 1.5
mistralai_mixtral_8x7b_instruct_v0.1 30.4 52.2 19.5 3 2.2 1.3 1.8
qwen1.5-72b-chat 30.2 42.4 19 2 2.2 1.4 1.6
google_gemma_3_4b_it 30 56.5 19.6 5 2.2 1.5 1.6
mistralai_mathstral_7b_v0.1 29.7 63.6 19.3 4 2.2 0.99 1.9
qwen2-math-7b-instruct 27.9 63.4 18.9 4 2.1 0.87 1.9
qwen1.5-14b-chat 27.7 48.4 17.8 3 2.1 1.3 1.7
google_codegemma_1.1_7b_it 27.1 63.2 18.3 5 2.1 1 1.8
qwen2.5-coder-7b-instruct 26.7 61.8 17.5 4 2.1 0.9 1.9
mistralai_ministral_8b_instruct_2410 26.5 59.2 17.2 4 2.1 0.97 1.8
mistralai_mistral_7b_instruct_v0.3 26.5 55.4 16.8 4 2.1 1.2 1.7
deepseek_r1_distill_qwen_32b 26.3 33.5 15.9 2 2.1 1.7 1.3
llama-3.2-3B-instruct 26.1 26.1 17.4 10 2.1 2.1 0
google_gemma_7b_it 26.1 45.5 17.4 4 2.1 1.4 1.5
qwen2.5-coder-3b-instruct 25.7 64.7 17.8 4 2.1 0.53 2
deepseek_v2_lite_chat 24.6 39.5 16.5 2 2 0.89 1.8
google_gemma_3_1b_it 24.4 54.2 17.1 4 2 0.99 1.8
qwen2-7b-instruct 24.2 50.9 15.2 4 2 1.2 1.7
qwen3-0.6b 23.5 56.7 16.2 5 2 1.1 1.7
deepseek_r1_distill_qwen_14b 23.2 36.4 13.7 4 2 1.6 1.2
qwen1.5-7b-chat 22.9 47.8 15.2 3 2 0.82 1.8
mistralai_mistral_7b_instruct_v0.2 21.7 50.7 14.1 4 1.9 0.97 1.7
mistralai_mistral_7b_instruct_v0.1 21.3 56.9 14.8 4 1.9 0.58 1.8
deepseek_r1_distill_llama_70b 20.4 25.4 12 2 1.9 1.6 1.1
deepseek_r1_distill_llama_8b 19.8 33.7 11.5 4 1.9 1.4 1.2
deepseek_r1_distill_qwen_7b 19.7 31.9 11.5 4 1.9 1.4 1.2
qwen2-math-1.5b-instruct 17.3 49.3 12.1 4 1.8 0.54 1.7
qwen2.5-coder-0.5b-instruct 16.2 58.3 11.8 5 1.7 0 1.7
qwen2.5-coder-1.5b-instruct 16.2 49.8 11.5 4 1.7 0.22 1.7
google_gemma_2b_it 12.3 33 8.69 4 1.6 0.67 1.4
qwen2-1.5b-instruct 11 35.5 7.72 4 1.5 0.38 1.4
llama-3.2-1B-instruct 10.9 10.9 7.96 13 1.5 1.5 0
deepseek_r1_distill_qwen_1.5b 9.6 22.3 5.59 4 1.4 0.8 1.1
qwen1.5-1.8b-chat 8.04 23 5.81 3 1.3 0 1.3
qwen2-0.5b-instruct 7.81 33 5.68 5 1.3 0 1.3
qwen1.5-0.5b-chat 1.88 8.48 1.37 5 0.64 0.11 0.63