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Equation 23 · How to Evaluate Codex Beyond SWE-bench and Vendor Scores

What does this equation mean?

pnew(t)p_{\mathrm{new}}(t)

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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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pnewp_{\mathrm{new}}

Symbol p_new

pnp_new 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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tt

Symbol t

t 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

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What the article says around this equation

If ppublic(t)p_{\mathrm{public}}(t) and pnew(t)p_{\mathrm{new}}(t) diverge as systems are optimized, the gap is itself a measurement. It indicates that leaderboard progress transfers incompletely. The response should be renewed sampling, not retrospective accusation based on score alone.

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