CRUXEval-output-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 77.2 1.2 0.81 1.5 10 44.2 1.12e+03
gpt-4-0613 68 1.6 0.5 1.6 10 35.1 1.08e+03
gpt-3.5-turbo-0613+cot 56.5 1.4 1.1 1.8 10 24.7 1.03e+03
deepseek-instruct-33b 48.4 1.6 0.84 1.8 10 17.1 1e+03
gpt-3.5-turbo-0613 47.5 1.6 0.78 1.8 10 17.1 1e+03
deepseek-base-33b 45.5 1.5 0.91 1.8 10 14.3 991
codetulu-2-34b 43.8 1.5 0.87 1.8 10 12.5 981
codellama-34b+cot 42.8 1.3 1.2 1.7 10 12.2 976
magicoder-ds-7b 41.7 1.5 0.89 1.7 10 11 972
wizard-34b 41.4 1.5 0.8 1.7 10 12.2 980
deepseek-instruct-6.7b 40.5 1.5 0.79 1.7 10 11.2 973
codellama-python-34b 39.7 1.5 0.82 1.7 10 10.8 972
codellama-34b 39.3 1.5 0.92 1.7 10 10.1 969
phind 38.9 1.5 0.85 1.7 10 10.1 966
deepseek-base-6.7b 38.3 1.4 0.92 1.7 10 9.53 965
wizard-13b 36.9 1.5 0.88 1.7 10 8.32 958
codellama-python-13b 36.4 1.4 0.91 1.7 10 8.51 958
mixtral-8x7b 36.3 1.4 0.94 1.7 10 8.35 956
codellama-13b 36.1 1.4 0.93 1.7 10 7.52 953
codellama-13b+cot 34.9 1.2 1.2 1.7 10 7.43 944
codellama-python-7b 32.4 1.4 0.9 1.7 10 6.43 942
codellama-7b 30.9 1.3 0.93 1.6 10 5.44 938
starcoderbase-16b 30.7 1.4 0.89 1.6 10 5.25 933
mistral-7b 30.1 1.3 0.96 1.6 10 5.11 931
phi-2 29.7 1.3 0.92 1.6 10 5.46 930
codellama-7b+cot 29.1 1.1 1.1 1.6 10 4.09 920
starcoderbase-7b 28.9 1.3 0.88 1.6 10 4.95 930
deepseek-instruct-1.3b 27.4 1.4 0.79 1.6 10 5.58 925
deepseek-base-1.3b 25.9 1.2 0.94 1.5 10 4.26 917
phi-1.5 21.7 1.1 0.91 1.5 10 3.82 898
phi-1 19.3 1.2 0.78 1.4 10 4.19 896