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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 86.1 93.3 46.6 8 0.49 0.41 0.26
qwen3-14b 82.8 93.4 44 10 0.53 0.43 0.32
google_gemma_3_12b_it 80.1 92.2 41.9 11 0.56 0.46 0.32
qwen3-4b 78.6 92.1 40.7 12 0.58 0.47 0.34
qwen3-8b 78.2 92.8 40.5 10 0.58 0.46 0.36
qwen3-32b 76.9 94.2 40.2 10 0.6 0.41 0.43
deepseek_r1_distill_llama_70b 73.6 92.4 39.4 9 0.62 0.46 0.43
google_gemma_3_4b_it 72 87.9 36 13 0.63 0.53 0.35
deepseek_r1_distill_qwen_7b 71.8 95.6 38.8 12 0.64 0.37 0.52
deepseek_r1_distill_llama_8b 69.1 94.6 36.2 12 0.65 0.4 0.52
qwen3-1.7b 63.9 86.5 30.5 12 0.68 0.53 0.42
llama-3.1-70B-instruct 62.9 63.1 29.8 12 0.68 0.68 0.06
deepseek_r1_distill_qwen_1.5b 62.6 93.4 31.6 12 0.68 0.39 0.56
deepseek_r1_distill_qwen_14b 61.3 92.6 32.7 11 0.69 0.41 0.55
qwen2-72b-instruct 59.3 85.6 27.4 10 0.69 0.51 0.47
deepseek_r1_distill_qwen_32b 58 90.2 30.6 9 0.7 0.44 0.54
qwen2.5-coder-32b-instruct 55.1 86.1 26.1 10 0.7 0.5 0.5
google_gemma_2_27b_it 51.9 71.6 22.5 7 0.71 0.58 0.4
qwen2.5-coder-14b-instruct 49.4 82.3 21.7 9 0.71 0.48 0.52
qwen2.5-coder-7b-instruct 45.9 83.4 20.1 11 0.7 0.45 0.55
google_gemma_2_9b_it 44.9 67 18.2 10 0.7 0.59 0.39
qwen1.5-72b-chat 43.5 72.7 17.8 10 0.7 0.53 0.46
qwen1.5-32b-chat 42.2 72.4 17.1 10 0.7 0.52 0.46
mistralai_mixtral_8x22b_instruct_v0.1 41.8 75.4 17.1 10 0.7 0.5 0.49
mistralai_mathstral_7b_v0.1 39.7 74.9 15.9 11 0.69 0.49 0.49
mistralai_ministral_8b_instruct_2410 38.3 74.3 15.2 11 0.69 0.48 0.49
llama-3.2-3B-instruct 37.8 38 15.1 19 0.69 0.68 0.064
llama-3.1-8B-instruct 37.5 37.7 15 16 0.68 0.68 0.064
qwen3-0.6b 37 70.8 14.8 13 0.68 0.5 0.46
qwen2.5-coder-3b-instruct 36.7 75.8 14.9 12 0.68 0.44 0.52
qwen2-7b-instruct 36.2 72.6 15 11 0.68 0.44 0.51
google_gemma_3_1b_it 33.3 60.3 13 12 0.67 0.53 0.41
qwen1.5-14b-chat 31.5 64 11.8 10 0.66 0.47 0.46
qwen2.5-coder-1.5b-instruct 27.2 65.9 10.1 12 0.63 0.4 0.48
deepseek_v2_lite_chat 25.7 57.3 9.1 10 0.62 0.44 0.44
mistralai_mixtral_8x7b_instruct_v0.1 25.6 58.6 9.16 10 0.62 0.43 0.45
google_codegemma_1.1_7b_it 20.5 53.3 7.12 13 0.57 0.4 0.41
qwen1.5-7b-chat 20.5 51.5 7.02 10 0.57 0.38 0.43
llama-3.2-1B-instruct 18.7 18.9 6.38 21 0.55 0.55 0.051
qwen2-1.5b-instruct 15.1 50.1 5.06 12 0.51 0.3 0.41
mistralai_mistral_7b_instruct_v0.3 13.2 42.7 4.26 11 0.48 0.3 0.37
google_gemma_7b_it 11.9 31.7 3.91 12 0.46 0.34 0.31
mistralai_mistral_7b_instruct_v0.2 10.3 33.8 3.2 11 0.43 0.28 0.33
qwen2-0.5b-instruct 7.62 34.4 2.41 13 0.38 0.2 0.32
qwen2.5-coder-0.5b-instruct 7.22 34 2.29 13 0.37 0.19 0.32
mistralai_mistral_7b_instruct_v0.1 7.06 28.8 2.21 11 0.36 0.21 0.3
google_gemma_2b_it 6.33 22.2 2.11 12 0.34 0.23 0.25
qwen1.5-1.8b-chat 5.22 25.4 1.67 10 0.31 0.15 0.28
qwen1.5-0.5b-chat 1.3 11.2 0.486 13 0.16 0.049 0.15