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Equation 10 · How to Evaluate Codex Beyond SWE-bench and Vendor Scores

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p^\hat p

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This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

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p^\hat p

Symbol hat p

hat p is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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What the article says around this equation

For independent Bernoulli tasks, one can attach a binomial confidence interval to p^\hat p . But tasks in one repository share architecture, language, documentation, and build systems. Treating all instances as independent understates cluster structure.

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