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Equation 18 · How to Evaluate Codex Beyond SWE-bench and Vendor Scores

What does this equation mean?

HiH_i

Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.

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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HiH_i

Symbol H_i

HiH_i 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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subscript

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

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How to interpret it

Read this expression with the definitions, units, and assumptions supplied by the article.

What the article says around this equation

Let viv_i be the value of correctly completing task i , CiC_i direct inference and infrastructure cost, HiH_i human specification and review cost, and LiL_i loss from an accepted failure. Expected net value is

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