CRUXEval-input-T0.8: by models

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std predicted by accuracy

The typical stddev between pairs of models on this dataset as a function of the absolute accuracy.

Differences vs inconsistencies

Here is a more informative figure of the source information used to compute p-value. Any model pair to the right of the parabola is statistically different from each other at the given level. This plot shows a pretty sharp transition since there are no model pairs with a small #A_win + #B_win, which rules out significant results at a small difference in |#A_win-#B_win|. For more explanation see doc.

p-values for model pairs

The null hypothesis is that model A and B each have a 1/2 chance to win whenever they are different, ties are ignored. The p-value is the chance under the null-hypothesis to get a difference as extreme as the one observed. For all pairs of models, the significance level mainly depends on the accuracy difference as shown here. Hover over each model pair for detailed information.

Results table by model

We show 3 methods currently used for evaluating code models, raw accuracy used by benchmarks, average win-rate over all other models (used by BigCode), and Elo (Bradly-Terry coefficients following Chatbot Arena). Average win-rate always have good correlation with Elo. GPT-3.5 gets an ELO of 1000 when available, otherwise the average is 1000. std: standard deviation due to drawing examples from a population, this is the dominant term. std_i: the standard deviation due to drawing samples from the model on each example. std_total: the total standard deviation, satisfying std_total^2 = std^2 + std_i^2.

model pass1 std(E(A)) E(std(A)) std(A) N win_rate elo
gpt-4-0613+cot 73.7 1.2 0.98 1.6 10 46.5 1.12e+03
gpt-4-0613 68 1.5 0.71 1.6 10 40.1 1.09e+03
gpt-3.5-turbo-0613 45.7 1.5 0.95 1.8 10 19.9 1e+03
phind 44.4 1.4 1 1.8 10 18 992
gpt-3.5-turbo-0613+cot 44.3 1.2 1.3 1.8 10 18.1 988
codetulu-2-34b 43.9 1.4 1.1 1.8 10 15.9 985
deepseek-instruct-33b 42.8 1.4 1 1.7 10 16.9 987
codellama-34b+cot 42.7 1.2 1.3 1.7 10 15.9 979
codellama-34b 41.1 1.3 1.1 1.7 10 13.8 975
magicoder-ds-7b 40.1 1.4 1.1 1.7 10 15.1 977
deepseek-base-33b 39.6 1.3 1.1 1.7 10 13.9 971
wizard-34b 38.7 1.4 0.98 1.7 10 13.6 969
codellama-python-34b 37 1.3 1.1 1.7 10 11.6 961
deepseek-base-6.7b 36.9 1.3 1.1 1.7 10 11.2 955
codellama-13b+cot 36.4 1.1 1.3 1.7 10 10.9 951
codellama-13b 35.2 1.2 1.2 1.7 10 9.81 950
deepseek-instruct-6.7b 34.7 1.4 0.98 1.7 10 11.6 956
mixtral-8x7b 32.8 1.2 1.1 1.7 10 8.84 941
codellama-python-13b 32.5 1.2 1.1 1.7 10 9.57 947
wizard-13b 32.2 1.3 0.99 1.7 10 10.1 948
codellama-python-7b 31.6 1.2 1.1 1.6 10 8.69 940
codellama-7b+cot 30 1 1.3 1.6 10 6.67 919
codellama-7b 28.4 1.2 1.1 1.6 10 6.21 922
mistral-7b 27.6 1.2 1.1 1.6 10 6.17 924
starcoderbase-16b 25.8 1.1 1 1.5 10 5.34 915
phi-2 25.7 1.1 1.1 1.5 10 5.93 911
starcoderbase-7b 25.4 1.2 1 1.5 10 5.1 916
deepseek-instruct-1.3b 24 1.2 0.87 1.5 10 7.05 919
deepseek-base-1.3b 22.5 1.1 1 1.5 10 4.05 901
phi-1.5 16.1 0.86 0.97 1.3 10 2 875
phi-1 12.6 0.99 0.63 1.2 10 3.22 884