math500_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)
google_gemma_3_27b_it 85.5 92.8 44.9 3 1.6 1.2 0.99
qwen3-32b 81.5 89.4 41.6 2 1.7 1.2 1.3
deepseek_r1_distill_qwen_32b 81.1 89 41.8 2 1.8 1.2 1.3
qwen3-14b 80.7 89.4 41 3 1.8 1.4 1.1
deepseek_r1_distill_llama_70b 78.9 87.2 40 2 1.8 1.3 1.3
google_gemma_3_12b_it 78.3 87.4 39.4 3 1.8 1.5 1.1
qwen3-8b 78.3 86.6 39.2 3 1.8 1.5 1.1
qwen3-4b 77.1 88 38.3 4 1.9 1.5 1.2
deepseek_r1_distill_qwen_14b 76.3 89 38.5 3 1.9 1.4 1.3
qwen2.5-coder-32b-instruct 74.4 82.2 36.3 2 2 1.5 1.2
deepseek_r1_distill_qwen_7b 72.7 87.6 36 3 2 1.4 1.4
qwen2-math-7b-instruct 70.7 79.2 33.6 2 2 1.6 1.3
qwen2.5-coder-14b-instruct 67.2 80.4 31.2 3 2.1 1.6 1.4
deepseek_r1_distill_llama_8b 67.1 84.8 32.7 4 2.1 1.5 1.5
qwen3-1.7b 65.4 79.6 30.4 4 2.1 1.7 1.3
google_gemma_3_4b_it 65 79.6 31 4 2.1 1.7 1.3
deepseek_r1_distill_qwen_1.5b 64.6 82.6 30.3 4 2.1 1.5 1.5
llama-3.1-70B-instruct 63.4 63.6 29.4 4 2.2 2.1 0.2
qwen2-72b-instruct 63 72.2 28.7 2 2.2 1.7 1.4
qwen2-math-1.5b-instruct 61.5 71.8 27.7 2 2.2 1.6 1.4
qwen2.5-coder-7b-instruct 53.7 71.2 23.4 3 2.2 1.6 1.5
google_gemma_2_27b_it 52.8 52.8 22.1 1 2.2 NaN NaN
qwen2-7b-instruct 45.7 64.8 18.5 3 2.2 1.6 1.6
llama-3.1-8B-instruct 45.1 45.4 18.7 6 2.2 2.2 0.25
google_gemma_2_9b_it 44.9 56.4 17.8 3 2.2 1.9 1.2
mistralai_mixtral_8x22b_instruct_v0.1 43.8 57.8 17.9 2 2.2 1.5 1.7
qwen2.5-coder-3b-instruct 40.8 65.2 16.9 4 2.2 1.4 1.7
mistralai_mathstral_7b_v0.1 39.8 60.4 16.1 3 2.2 1.4 1.7
mistralai_ministral_8b_instruct_2410 39.8 58.2 15.8 3 2.2 1.5 1.6
llama-3.2-3B-instruct 38.3 38.8 15.1 10 2.2 2.2 0.27
qwen1.5-72b-chat 37.9 48.4 14.7 2 2.2 1.6 1.4
qwen1.5-32b-chat 37.1 49.8 14.6 2 2.2 1.5 1.6
qwen3-0.6b 31.6 50.8 12.3 3 2.1 1.4 1.6
qwen1.5-14b-chat 28.3 44.4 10.1 3 2 1.5 1.4
qwen2.5-coder-1.5b-instruct 26.2 49.6 9.64 4 2 1.2 1.5
mistralai_mixtral_8x7b_instruct_v0.1 23.3 40.4 8.16 3 1.9 1.2 1.4
llama-3.2-1B-instruct 20.5 20.6 7.33 11 1.8 1.8 0.16
deepseek_v2_lite_chat 18.9 27.2 6.46 2 1.8 1.2 1.3
google_codegemma_1.1_7b_it 18.6 34.8 6.2 4 1.7 1.2 1.3
qwen1.5-7b-chat 15.9 28.6 5.26 3 1.6 1.1 1.2
google_gemma_3_1b_it 13.6 30.2 5.92 4 1.5 0.91 1.2
mistralai_mistral_7b_instruct_v0.3 10.5 20.6 3.39 3 1.4 0.81 1.1
mistralai_mistral_7b_instruct_v0.2 9 19 3.06 3 1.3 0.71 1.1
qwen2.5-coder-0.5b-instruct 6 18 2.38 4 1.1 0.44 0.97
google_gemma_7b_it 5.75 13.6 1.86 4 1 0.64 0.82
qwen2-1.5b-instruct 4.65 13.2 1.54 4 0.94 0.42 0.84
mistralai_mistral_7b_instruct_v0.1 4.13 9.8 1.42 3 0.89 0.39 0.8
qwen2-0.5b-instruct 2.05 6.8 0.756 4 0.63 0.21 0.6
qwen1.5-1.8b-chat 0.867 2.2 0.293 3 0.41 0.16 0.38
google_gemma_2b_it 0.35 1.4 0.104 4 0.26 0 0.26
qwen1.5-0.5b-chat 0.3 1.2 0.145 4 0.24 0 0.24