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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_12b_it 27.6 56.9 22.9 11 2 1.4 1.4
qwen2-72b-instruct 25.4 59 21 10 1.9 1.3 1.4
qwen3-32b 24.9 58.6 20.6 10 1.9 1.3 1.4
qwen3-14b 24.6 53.4 20.1 12 1.9 1.4 1.3
qwen2.5-coder-32b-instruct 23.7 51.1 19.2 10 1.9 1.3 1.3
qwen3-4b 21.7 49.9 17.5 12 1.8 1.3 1.3
qwen3-8b 17.4 46.4 14 12 1.7 1.2 1.2
qwen2.5-coder-14b-instruct 16.8 48.5 13.3 12 1.6 1 1.3
qwen1.5-32b-chat 13.5 44.1 10.9 11 1.5 0.93 1.2
qwen1.5-72b-chat 13.4 41.4 10.7 10 1.5 0.92 1.2
google_gemma_7b_it 13 33.4 10.9 13 1.5 1.1 1
google_gemma_2_27b_it 12.7 37.7 10.4 10 1.5 0.99 1.1
qwen2-math-72b-instruct 11.4 22.9 9.05 10 1.4 1.1 0.85
qwen2.5-coder-7b-instruct 11.2 39.8 8.76 10 1.4 0.75 1.2
google_gemma_3_4b_it 11.1 38.1 8.85 13 1.4 0.86 1.1
llama-3.1-8B-instruct 10.5 10.5 8.59 15 1.4 1.4 0
google_gemma_2_9b_it 9.29 29.5 7.51 11 1.3 0.87 0.94
qwen1.5-14b-chat 9.17 38.8 7.42 12 1.3 0.69 1.1
mistralai_mixtral_8x22b_instruct_v0.1 8.93 37.5 7.07 11 1.3 0.65 1.1
qwen2-1.5b-instruct 7.57 38.4 6.5 13 1.2 0.59 1
google_codegemma_1.1_7b_it 7.45 38.3 6 13 1.2 0.5 1
qwen2-7b-instruct 7.13 31.1 5.52 11 1.1 0.59 0.97
deepseek_r1_distill_qwen_32b 6.64 19.8 4.9 10 1.1 0.73 0.82
mistralai_mistral_7b_instruct_v0.3 6.62 28.7 5.33 11 1.1 0.55 0.95
qwen3-1.7b 6.62 22.7 5.05 12 1.1 0.74 0.81
qwen1.5-7b-chat 6.57 34.4 5.29 12 1.1 0.5 0.97
llama-3.2-3B-instruct 6.41 6.41 5.07 17 1.1 1.1 0
deepseek_v2_lite_chat 6.41 31.5 5.21 11 1.1 0.47 0.97
qwen2-math-7b-instruct 6.15 14 4.61 6 1.1 0.76 0.74
deepseek_r1_distill_qwen_14b 6.02 19.2 4.48 11 1 0.68 0.79
mistralai_ministral_8b_instruct_2410 5.63 31.1 4.41 11 1 0.45 0.91
mistralai_mistral_7b_instruct_v0.1 5.53 28.2 4.49 11 1 0.45 0.9
deepseek_r1_distill_llama_70b 5.48 17.3 3.98 10 1 0.66 0.75
mistralai_mistral_7b_instruct_v0.2 5.32 23.5 4.33 10 0.99 0.5 0.85
qwen2.5-coder-3b-instruct 5.16 29.5 3.92 12 0.97 0.42 0.88
google_gemma_2b_it 5.11 13.2 4.1 13 0.97 0.74 0.62
mistralai_mathstral_7b_v0.1 5.07 28 3.98 11 0.97 0.38 0.89
qwen2-0.5b-instruct 4.9 27 4.03 13 0.95 0.41 0.86
qwen1.5-1.8b-chat 4.31 22.3 3.5 11 0.89 0.35 0.82
llama-3.2-1B-instruct 4.27 4.27 3.47 12 0.89 0.89 0
google_gemma_3_1b_it 4.22 19.2 3.15 12 0.89 0.51 0.72
deepseek_r1_distill_qwen_7b 4.17 12.6 2.95 11 0.88 0.59 0.66
qwen2-math-1.5b-instruct 4.03 9.13 2.95 4 0.87 0.54 0.67
qwen1.5-0.5b-chat 3.91 20.6 3.26 13 0.85 0.37 0.77
deepseek_r1_distill_llama_8b 3.54 17.1 2.57 12 0.81 0.43 0.69
qwen3-0.6b 2.66 15.5 1.94 13 0.71 0.37 0.61
deepseek_r1_distill_qwen_1.5b 2.25 10.3 1.57 12 0.65 0.35 0.55
qwen2.5-coder-1.5b-instruct 1.8 11.8 1.33 11 0.59 0.23 0.54
qwen2.5-coder-0.5b-instruct 1.69 13.2 1.33 13 0.57 0.17 0.54