cruxeval_output_cot: by models

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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)
qwen2.5-coder-32b-instruct 82.4 92.2 44.4 10 1.3 1.1 0.72
qwen3-14b 78.7 92.4 41.3 12 1.4 1.2 0.87
qwen2.5-coder-14b-instruct 76.5 89.5 39.5 12 1.5 1.3 0.79
google_gemma_3_27b_it 76 87 38.9 9 1.5 1.3 0.77
llama-3.1-70B-instruct 70.2 70.2 34.6 13 1.6 1.6 0
google_gemma_3_12b_it 69.7 83.6 34.3 11 1.6 1.4 0.85
qwen3-32b 69.5 84 34.4 11 1.6 1.4 0.89
deepseek_r1_distill_llama_70b 66.5 87 32.3 10 1.7 1.3 1.1
qwen2-72b-instruct 64.1 85.5 30.5 10 1.7 1.3 1.1
google_gemma_2_27b_it 62.7 81.8 29.2 10 1.7 1.4 0.97
mistralai_mixtral_8x22b_instruct_v0.1 62.3 83 28.8 11 1.7 1.4 1
qwen2-math-72b-instruct 59.5 82 27.3 10 1.7 1.3 1.1
qwen3-4b 57.4 77.5 26.1 12 1.7 1.4 1
qwen2.5-coder-7b-instruct 56.2 80.6 25.1 11 1.8 1.4 1.1
google_gemma_3_4b_it 54.5 74.5 24 13 1.8 1.5 0.96
deepseek_r1_distill_qwen_14b 54.5 88.2 26.7 11 1.8 1 1.4
deepseek_r1_distill_llama_8b 52.3 78.6 22.8 12 1.8 1.3 1.2
qwen2.5-coder-3b-instruct 50.1 79.1 21.3 12 1.8 1.3 1.2
google_gemma_2_9b_it 48.6 69.6 19.9 12 1.8 1.5 0.98
qwen1.5-32b-chat 48.3 75.5 20.1 11 1.8 1.4 1.1
qwen1.5-72b-chat 46.6 75.6 19.6 10 1.8 1.3 1.2
mistralai_mixtral_8x7b_instruct_v0.1 45.7 73.6 18.5 11 1.8 1.3 1.1
llama-3.1-8B-instruct 44.2 44.2 17.9 15 1.8 1.8 0
mistralai_ministral_8b_instruct_2410 44.2 74.4 17.7 11 1.8 1.3 1.2
mistralai_mathstral_7b_v0.1 40.9 72.4 15.8 11 1.7 1.3 1.1
qwen2-7b-instruct 39.3 69.4 15.1 11 1.7 1.3 1.1
google_codegemma_1.1_7b_it 38.2 67.6 14.8 13 1.7 1.3 1.1
qwen1.5-14b-chat 37.8 68.8 14.3 12 1.7 1.3 1.1
mistralai_mistral_7b_instruct_v0.3 34.2 62.4 12.4 11 1.7 1.3 1.1
qwen3-1.7b 33.9 74.4 14.8 12 1.7 0.94 1.4
qwen3-0.6b 31.4 64.5 12 13 1.6 1.1 1.2
deepseek_r1_distill_qwen_32b 30.5 75.1 13.4 10 1.6 0.83 1.4
llama-3.2-3B-instruct 30.1 30.1 10.5 18 1.6 1.6 0
qwen3-8b 29.5 62.5 11.3 12 1.6 1.1 1.2
qwen2.5-coder-1.5b-instruct 29 68.2 10.7 12 1.6 1 1.2
deepseek_v2_lite_chat 28.1 59.6 9.99 11 1.6 1.1 1.1
google_gemma_3_1b_it 27.5 52.6 10.3 12 1.6 1.2 1
qwen2-math-7b-instruct 26.3 59.1 9.53 12 1.6 1 1.2
qwen1.5-7b-chat 26.2 57.5 9.23 12 1.6 1.1 1.1
google_gemma_7b_it 25.5 47.1 9.26 12 1.5 1.2 0.95
mistralai_mistral_7b_instruct_v0.1 23.6 54.1 8.26 11 1.5 1 1.1
mistralai_mistral_7b_instruct_v0.2 22.7 59 8.24 11 1.5 0.87 1.2
qwen2-math-1.5b-instruct 21.6 51.4 7.64 12 1.5 1 1
qwen2.5-coder-0.5b-instruct 20.5 53.1 7.57 13 1.4 0.9 1.1
deepseek_r1_distill_qwen_7b 19.3 58.9 7.45 11 1.4 0.71 1.2
deepseek_r1_distill_qwen_1.5b 14.1 51.6 4.94 12 1.2 0.59 1.1
google_gemma_2b_it 12.5 37.9 4.61 13 1.2 0.73 0.92
qwen2-1.5b-instruct 12.5 43.4 4.12 12 1.2 0.64 0.98
llama-3.2-1B-instruct 11.4 11.4 3.77 21 1.1 1.1 0
qwen1.5-0.5b-chat 6.23 28.6 2.32 13 0.85 0.43 0.74
qwen2-0.5b-instruct 1.84 16.2 0.666 13 0.47 0.11 0.46
qwen1.5-1.8b-chat 1.17 10.4 0.378 12 0.38 0.1 0.37