gsm8k_plus_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)
qwen3-32b 81.4 85.3 34.3 2 0.38 0.33 0.19
qwen3-14b 81.1 85.2 34 3 0.38 0.34 0.17
qwen3-8b 78.7 84.6 32.4 3 0.4 0.35 0.2
llama-3.1-70B-instruct 77.3 77.3 32 4 0.41 0.41 0
deepseek_r1_distill_llama_70b 76.2 76.2 31.4 1 0.41 NaN NaN
google_gemma_3_27b_it 75.1 79.1 30.1 3 0.42 0.39 0.16
qwen2-72b-instruct 74.4 81.9 29.9 2 0.42 0.33 0.27
google_gemma_3_12b_it 74.2 79.9 29.5 3 0.43 0.38 0.19
google_gemma_2_27b_it 74 74 29.5 1 0.43 NaN NaN
qwen3-4b 73.7 79.6 29.2 3 0.43 0.38 0.2
qwen2.5-coder-32b-instruct 73.5 79 29.2 2 0.43 0.36 0.23
deepseek_r1_distill_qwen_14b 71 85.4 28.9 3 0.44 0.31 0.32
google_gemma_2_9b_it 70.1 80.1 27.2 3 0.45 0.37 0.25
deepseek_r1_distill_qwen_32b 70.1 70.1 29.1 1 0.45 NaN NaN
deepseek_r1_distill_qwen_7b 68.6 83.4 27.2 3 0.45 0.32 0.32
qwen2.5-coder-14b-instruct 66.8 81.9 25.5 3 0.46 0.33 0.32
qwen2-math-72b-instruct 66.3 77.9 25.7 2 0.46 0.32 0.33
qwen1.5-72b-chat 65.7 75.5 25 2 0.46 0.35 0.3
qwen1.5-32b-chat 64.8 75.9 24.6 2 0.46 0.33 0.32
google_gemma_3_4b_it 64.1 74.6 23.4 4 0.47 0.4 0.24
mistralai_mixtral_8x22b_instruct_v0.1 63.2 76.3 24.1 2 0.47 0.31 0.35
qwen2-math-7b-instruct 62 77.8 22.9 3 0.47 0.35 0.32
deepseek_r1_distill_llama_8b 62 83.8 24.3 4 0.47 0.3 0.36
llama-3.1-8B-instruct 60.6 60.6 22.7 7 0.48 0.48 0
mistralai_ministral_8b_instruct_2410 59.7 77.6 21.8 3 0.48 0.33 0.34
qwen2-7b-instruct 59.2 77.6 21.6 3 0.48 0.33 0.35
qwen3-1.7b 58.6 69.4 21 3 0.48 0.4 0.26
qwen2-math-1.5b-instruct 56.8 73.3 20.2 3 0.48 0.36 0.33
qwen1.5-14b-chat 53.6 71.3 18.7 3 0.49 0.35 0.34
qwen2.5-coder-7b-instruct 51.9 73.8 18.4 3 0.49 0.31 0.38
llama-3.2-3B-instruct 49.6 49.6 17.2 10 0.49 0.49 0
deepseek_r1_distill_qwen_1.5b 49.6 76.8 18.8 4 0.49 0.29 0.39
mistralai_mathstral_7b_v0.1 47.5 70.6 16.4 3 0.49 0.3 0.38
deepseek_v2_lite_chat 46.7 59.5 15.6 2 0.49 0.34 0.35
mistralai_mixtral_8x7b_instruct_v0.1 44.8 66.7 15.3 3 0.48 0.31 0.37
qwen2.5-coder-3b-instruct 40.3 62.7 13.1 3 0.48 0.3 0.37
qwen1.5-7b-chat 40.2 61.1 13.1 3 0.48 0.32 0.36
google_codegemma_1.1_7b_it 33.5 56.6 10 4 0.46 0.31 0.34
mistralai_mistral_7b_instruct_v0.3 32.4 54.1 10.4 3 0.46 0.28 0.36
google_gemma_3_1b_it 28.9 45.6 8.36 4 0.44 0.34 0.28
qwen3-0.6b 28 49.1 8.4 4 0.44 0.3 0.32
mistralai_mistral_7b_instruct_v0.2 27.9 47 8.92 3 0.44 0.28 0.34
qwen2.5-coder-1.5b-instruct 26.5 47.3 8.12 3 0.43 0.25 0.35
llama-3.2-1B-instruct 19 19 5.62 12 0.38 0.38 0
google_gemma_7b_it 18.5 35.8 5.3 4 0.38 0.26 0.28
mistralai_mistral_7b_instruct_v0.1 16 32.9 5.07 3 0.36 0.18 0.31
qwen2-1.5b-instruct 15.2 32.5 5.14 3 0.35 0.16 0.31
qwen1.5-1.8b-chat 11.6 24.5 4.81 3 0.31 0.16 0.27
qwen2.5-coder-0.5b-instruct 7.1 20.8 2.39 4 0.25 0.11 0.23
qwen2-0.5b-instruct 6.61 20.3 2.56 4 0.24 0.087 0.23
google_gemma_2b_it 6.2 15.3 1.81 4 0.23 0.14 0.19
qwen1.5-0.5b-chat 5.41 14.5 3.2 4 0.22 0.11 0.19