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Equation 37 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

What does this equation mean?

tr(q,c,e)t_r(q,c,e)

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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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trt_r

Symbol t_r

trt_r 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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qq

Symbol q

q 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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cc

Symbol c

the complexity.

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ee

Symbol e

the evidence.

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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

Let tr(q,c,e)t_r(q,c,e) depend on patch quality q , complexity c , and evidence e . Better evidence can reduce trt_r for a fixed quality; low-quality but persuasive output can initially reduce time while increasing escaped loss. Optimize total expected cost, not review speed alone.

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