aime2024_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)
deepseek_r1_distill_qwen_32b 37.9 73.3 32.4 11 8.9 6.4 6.1
deepseek_r1_distill_llama_70b 34.2 66.7 29.1 11 8.7 6.3 5.9
deepseek_r1_distill_qwen_7b 28.5 46.7 23.8 11 8.2 6.5 5.1
deepseek_r1_distill_qwen_14b 27.6 43.3 22.7 11 8.2 6.9 4.4
google_gemma_3_27b_it 25.6 56.7 20.8 12 8 5.4 5.9
qwen3-14b 24.4 33.3 19.5 12 7.8 6.7 4
qwen3-32b 22.7 43.3 18.1 11 7.7 5.9 4.9
llama-3.1-70B-instruct 20 20 16.6 13 7.3 7.3 0
deepseek_r1_distill_llama_8b 19 40 15.3 13 7.2 5.2 4.9
qwen2-math-72b-instruct 18.3 36.7 14.4 6 7.1 5.1 4.9
google_gemma_3_12b_it 18.2 46.7 14.6 11 7 5.2 4.7
qwen3-8b 17.5 50 14.2 12 6.9 5.3 4.4
qwen2.5-coder-32b-instruct 13 30 9.68 11 6.1 4.6 4
qwen3-4b 11.9 23.3 8.86 12 5.9 4.5 3.9
deepseek_r1_distill_qwen_1.5b 11.5 23.3 8.78 13 5.8 4.7 3.5
qwen2.5-coder-14b-instruct 10.8 20 7.77 12 5.7 4.5 3.4
llama-3.2-3B-instruct 10 10 7.48 18 5.5 5.5 0
qwen3-1.7b 9.44 23.3 7.16 12 5.3 3.9 3.7
qwen2-math-7b-instruct 8.33 13.3 6.38 6 5 4.3 2.7
qwen2-math-1.5b-instruct 7.5 13.3 5.05 4 4.8 3.8 2.9
google_gemma_3_4b_it 7.18 23.3 5.57 13 4.7 2.5 4
qwen2-72b-instruct 6.06 20 4.19 11 4.4 2.8 3.3
qwen2.5-coder-7b-instruct 4.55 10 3.19 11 3.8 2.4 2.9
llama-3.1-8B-instruct 3.33 3.33 2.36 15 3.3 3.3 0
llama-3.2-1B-instruct 3.33 3.33 2.29 21 3.3 3.3 0
qwen2-7b-instruct 3.03 6.67 2.23 11 3.1 2 2.4
google_gemma_2_27b_it 3 13.3 2 10 3.1 1.8 2.5
qwen2.5-coder-3b-instruct 2.22 6.67 1.53 12 2.7 1.4 2.3
google_gemma_3_1b_it 1.54 3.33 1.04 13 2.2 1.4 1.7
mistralai_mathstral_7b_v0.1 1.52 6.67 1.12 11 2.2 0.86 2.1
mistralai_mixtral_8x22b_instruct_v0.1 1.52 13.3 1.06 11 2.2 0.35 2.2
deepseek_v2_lite_chat 1.21 3.33 0.818 11 2 1.1 1.7
qwen3-0.6b 1.03 3.33 0.691 13 1.8 0.91 1.6
qwen1.5-72b-chat 0.606 3.33 0.363 11 1.4 0.44 1.3
qwen1.5-32b-chat 0.606 6.67 0.384 11 1.4 0 1.4
google_gemma_2_9b_it 0.303 3.33 0.203 11 1 0 1
mistralai_mistral_7b_instruct_v0.2 0.303 3.33 0.252 11 1 0 1
mistralai_mixtral_8x7b_instruct_v0.1 0.278 3.33 0.231 12 0.96 0 0.96
google_codegemma_1.1_7b_it 0 0 0 13 0 0 0
google_gemma_2b_it 0 0 0 13 0 0 0
google_gemma_7b_it 0 0 0 13 0 0 0
qwen2-1.5b-instruct 0 0 0 13 0 0 0
mistralai_mistral_7b_instruct_v0.3 0 0 0 11 0 0 0
qwen1.5-0.5b-chat 0 0 0 13 0 0 0
mistralai_mistral_7b_instruct_v0.1 0 0 0 11 0 0 0
qwen2-0.5b-instruct 0 0 0 13 0 0 0
qwen1.5-7b-chat 0 0 0 12 0 0 0
qwen1.5-1.8b-chat 0 0 0 11 0 0 0
qwen1.5-14b-chat 0 0 0 12 0 0 0
mistralai_ministral_8b_instruct_2410 0 0 0 11 0 0 0
qwen2.5-coder-0.5b-instruct 0 0 0 13 0 0 0
qwen2.5-coder-1.5b-instruct 0 0 0 11 0 0 0