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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 86.5 90.1 50.3 2 0.48 0.4 0.27
qwen3-14b 82.4 87.7 47 2 0.54 0.43 0.33
google_gemma_3_12b_it 80.2 87.7 45.2 3 0.56 0.46 0.33
qwen3-4b 78.1 86.8 43.6 3 0.58 0.47 0.35
qwen3-8b 77.8 84.9 43.4 2 0.59 0.45 0.38
qwen3-32b 75.2 86.1 42.2 2 0.61 0.39 0.47
google_gemma_3_4b_it 71.5 82.6 38.7 4 0.64 0.53 0.36
deepseek_r1_distill_llama_70b 70.9 70.9 40.7 1 0.64 NaN NaN
deepseek_r1_distill_qwen_7b 68.4 88.7 39.1 3 0.66 0.35 0.56
deepseek_r1_distill_llama_8b 65.6 87 37 3 0.67 0.37 0.56
qwen3-1.7b 63 76.9 32.8 3 0.68 0.52 0.44
deepseek_r1_distill_qwen_14b 59.9 83.7 34.1 3 0.69 0.38 0.58
deepseek_r1_distill_qwen_1.5b 59 82.5 32 3 0.7 0.38 0.58
llama-3.1-70B-instruct 58.5 58.8 29.8 3 0.7 0.69 0.077
deepseek_r1_distill_qwen_32b 57.8 57.8 32.6 1 0.7 NaN NaN
qwen2.5-coder-32b-instruct 54.4 54.4 27.8 1 0.7 NaN NaN
qwen2-72b-instruct 54.1 54.1 26.7 1 0.7 NaN NaN
google_gemma_2_9b_it 44 56.8 20 3 0.7 0.57 0.41
qwen1.5-72b-chat 41.9 41.9 19.2 1 0.7 NaN NaN
qwen2.5-coder-14b-instruct 41.4 55.7 19.4 2 0.7 0.45 0.53
qwen1.5-32b-chat 39.6 50.8 17.8 2 0.69 0.5 0.47
qwen2.5-coder-7b-instruct 35.3 57.6 16 3 0.68 0.41 0.54
mistralai_mixtral_8x22b_instruct_v0.1 33.1 45.1 14.4 2 0.67 0.45 0.49
qwen2-7b-instruct 32.8 53.3 14.8 3 0.66 0.42 0.51
mistralai_mathstral_7b_v0.1 32.7 52.4 14.2 3 0.66 0.44 0.5
qwen3-0.6b 32.4 53.3 14 4 0.66 0.47 0.46
google_gemma_3_1b_it 32.1 45.5 13.9 3 0.66 0.51 0.42
llama-3.2-3B-instruct 30.9 31.1 13.2 10 0.65 0.65 0.055
qwen2.5-coder-3b-instruct 29.9 50.8 13.1 3 0.65 0.39 0.52
llama-3.1-8B-instruct 28.7 28.9 12.2 7 0.64 0.64 0.057
qwen1.5-14b-chat 28.5 39 11.9 2 0.64 0.45 0.46
mistralai_ministral_8b_instruct_2410 28.5 47.7 12 3 0.64 0.41 0.49
mistralai_mixtral_8x7b_instruct_v0.1 22.7 32.7 9.09 2 0.59 0.39 0.45
deepseek_v2_lite_chat 22 32.1 8.79 2 0.59 0.38 0.45
qwen2.5-coder-1.5b-instruct 19.9 37.6 8.05 3 0.56 0.32 0.47
google_codegemma_1.1_7b_it 18.1 36.3 7.03 4 0.55 0.36 0.41
qwen1.5-7b-chat 17.6 33 6.8 3 0.54 0.32 0.43
llama-3.2-1B-instruct 12.4 12.5 4.6 12 0.47 0.46 0.042
google_gemma_7b_it 11.3 19.6 4.25 3 0.45 0.32 0.32
mistralai_mistral_7b_instruct_v0.3 11.1 22.3 4.05 3 0.44 0.26 0.36
mistralai_mistral_7b_instruct_v0.2 9.4 18.1 3.36 3 0.41 0.26 0.32
qwen2-1.5b-instruct 8.98 20 3.4 3 0.4 0.19 0.35
google_gemma_2b_it 6.05 12 2.29 3 0.34 0.21 0.26
qwen2.5-coder-0.5b-instruct 5.22 15.1 1.95 4 0.31 0.14 0.28
mistralai_mistral_7b_instruct_v0.1 4.87 11.3 1.73 3 0.3 0.15 0.27
qwen2-0.5b-instruct 3.92 11.9 1.39 4 0.27 0.11 0.25
qwen1.5-1.8b-chat 3.29 8.08 1.15 3 0.25 0.11 0.23
qwen1.5-0.5b-chat 0.435 1.58 0.145 4 0.093 0.024 0.09