Equation 10 · Part 9 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

Symbol N_accepted,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}}}.

N_{\mathrm{accepted,quality-adjusted}}

What this part means

$N_a$ ccepted,quality-adjusted occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

Its job in the formula

$N_a$ ccepted,quality-adjusted occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

Full expressionSymbol N_accepted,quality-adjustedArticle meaning

The passage around this formula

A practical organization can report cost per accepted change , $CAC=\frac{ C_{\mathrm{licenses}}+C_{\mathrm{usage}}+C_{\mathrm{runtime}} +C_{\mathrm{human}}+C_{\mathrm{rework}}+C_{\mathrm{incidents}} }{N_{\mathrm{accepted,quality-adjusted}}}$ . 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 subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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