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Equation 10 · Part 1 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

Symbol C

CAC=Clicenses+Cusage+Cruntime+Chuman+Crework+CincidentsNaccepted,quality−adjusted.CAC=\frac{ C_{\mathrm{licenses}}+C_{\mathrm{usage}}+C_{\mathrm{runtime}} +C_{\mathrm{human}}+C_{\mathrm{rework}}+C_{\mathrm{incidents}} }{N_{\mathrm{accepted,quality-adjusted}}}.
CC

What this part means

C occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Its job in the formula

C occurs above the fraction bar. The numerator is divided by the entire denominator below it.

The passage around this formula

A practical organization can report cost per accepted change , CAC=Clicenses+Cusage+Cruntime+Chuman+Crework+CincidentsNaccepted,quality−adjustedCAC=\frac{ C_{\mathrm{licenses}}+C_{\mathrm{usage}}+C_{\mathrm{runtime}} +C_{\mathrm{human}}+C_{\mathrm{rework}}+C_{\mathrm{incidents}} }{N_{\mathrm{accepted,quality-adjusted}}}. The metric should be sliced by task class. Documentation and test scaffolding, unfamiliar-repository bugs, migrations, UI work, security patches, and architecture decisions have different verification costs. A global mean can hide that agents create value in one class and consume it in another.

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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