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Equation 3 · Part 5 · How to Evaluate Codex Beyond SWE-bench and Vendor Scores

=

p^=1n∑i=1nYi\hat p=\frac{1}{n}\sum_{i=1}^{n}Y_i
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

Let YiY_i∈\in\{0,1\} indicate whether evaluation task i is resolved. The familiar score p^=1n∑i=1nYi\hat p=\frac{1}{n}\sum_{i=1}^{n}Y_i. is an estimate of success probability only for a distribution represented by those n instances and the evaluated system. The system is not just a model. It includes context retrieval, tools, prompts, retries, execution limits, and candidate selection. The evaluation distribution is not “software engineering.” It is a constructed sample with inclusion criteria, repository mix, languages, issue styles, and executable tests.

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

Open the illustrated equality: what the equals sign claims guide →

The article lists its research sources here.