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 81.5 87 48.5 2 1.4 1.1 0.83
qwen2.5-coder-14b-instruct 76.2 85.6 43.9 3 1.5 1.2 0.92
qwen3-14b 76.2 86.1 44 3 1.5 1.2 0.92
google_gemma_3_27b_it 75.9 83.9 43.6 3 1.5 1.3 0.82
google_gemma_3_12b_it 69.4 81.6 38.6 4 1.6 1.3 0.92
qwen3-32b 66.9 74.6 37.1 2 1.7 1.3 0.98
llama-3.1-70B-instruct 65.4 65.4 35.4 4 1.7 1.7 0
qwen2-72b-instruct 60.4 72.8 32.1 2 1.7 1.2 1.2
google_gemma_2_27b_it 59.9 68.9 31.6 2 1.7 1.4 1.1
mistralai_mixtral_8x22b_instruct_v0.1 57.2 67.5 29.5 2 1.7 1.3 1.1
qwen3-4b 56.9 72.8 29.6 4 1.8 1.4 1.1
deepseek_r1_distill_llama_70b 55.4 67.2 29 2 1.8 1.3 1.2
google_gemma_3_4b_it 54.9 71.6 28 5 1.8 1.4 1
qwen2.5-coder-7b-instruct 50.9 69.5 25.4 4 1.8 1.4 1.1
google_gemma_2_9b_it 46.9 59.5 22.5 3 1.8 1.4 1
deepseek_r1_distill_qwen_14b 45.9 74 24.1 4 1.8 1 1.5
qwen1.5-72b-chat 45.9 58 22.3 2 1.8 1.3 1.2
qwen1.5-32b-chat 44.9 56.5 21.5 2 1.8 1.3 1.2
qwen2.5-coder-3b-instruct 44.5 65.8 21.3 4 1.8 1.3 1.2
mistralai_mixtral_8x7b_instruct_v0.1 41.4 59.8 19.6 3 1.7 1.2 1.2
deepseek_r1_distill_llama_8b 39.3 62.4 18.9 4 1.7 1.2 1.3
mistralai_ministral_8b_instruct_2410 39.2 60.5 17.8 4 1.7 1.2 1.2
google_codegemma_1.1_7b_it 36.2 58 16.5 5 1.7 1.3 1.1
llama-3.1-8B-instruct 34.6 34.6 16 7 1.7 1.7 0
mistralai_mathstral_7b_v0.1 34.4 56.6 15.4 4 1.7 1.2 1.2
qwen1.5-14b-chat 33.7 50.5 14.9 3 1.7 1.2 1.2
qwen2-math-72b-instruct 33.2 48.6 16.2 2 1.7 0.92 1.4
qwen2-7b-instruct 32.4 55.5 14.4 4 1.7 1.1 1.2
qwen3-1.7b 31.5 60.5 15.6 4 1.6 0.88 1.4
mistralai_mistral_7b_instruct_v0.3 31.3 52.1 13.7 4 1.6 1.2 1.2
deepseek_r1_distill_qwen_32b 27.7 42.9 13.4 2 1.6 0.78 1.4
google_gemma_3_1b_it 26.8 43.9 12 4 1.6 1.2 1.1
qwen3-8b 25.9 43.9 11.6 3 1.5 0.99 1.2
qwen3-0.6b 25 51.4 11.2 5 1.5 0.92 1.2
qwen1.5-7b-chat 24.8 40.5 10.6 3 1.5 1 1.1
google_gemma_7b_it 24.7 39.1 10.8 4 1.5 1.1 1
deepseek_v2_lite_chat 24.4 41.5 10.5 3 1.5 0.97 1.2
llama-3.2-3B-instruct 20.6 20.6 8.53 10 1.4 1.4 0
qwen2.5-coder-1.5b-instruct 19.9 43.5 8.58 4 1.4 0.75 1.2
mistralai_mistral_7b_instruct_v0.1 17.9 38.5 7.62 4 1.4 0.78 1.1
qwen2.5-coder-0.5b-instruct 16.8 40.2 7.28 5 1.3 0.75 1.1
mistralai_mistral_7b_instruct_v0.2 16.1 38.1 7.01 4 1.3 0.63 1.1
deepseek_r1_distill_qwen_7b 12.2 33.5 5.32 4 1.2 0.45 1.1
google_gemma_2b_it 9.59 23.1 4.29 4 1 0.57 0.87
qwen2-math-1.5b-instruct 8.41 23.8 3.45 4 0.98 0.39 0.9
llama-3.2-1B-instruct 7.62 7.62 3.05 13 0.94 0.94 0
qwen2-1.5b-instruct 5.75 16.4 2.29 4 0.82 0.35 0.74
deepseek_r1_distill_qwen_1.5b 5.59 18.2 2.26 4 0.81 0.22 0.78
qwen2-math-7b-instruct 5.5 18.2 2.34 4 0.81 0.21 0.78
qwen1.5-0.5b-chat 1.73 7.12 0.798 5 0.46 0.13 0.44
qwen2-0.5b-instruct 0.525 2.62 0.264 5 0.26 0 0.26
qwen1.5-1.8b-chat 0.375 1 0.171 3 0.22 0.071 0.2