Equation 35 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput
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superscript
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
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Costs include duplicated context, token use, environment runtime, merge conflict, synchronization, and human attention. If n workers each have cost c and independent single-attempt success p , best-of- n success is 1-(1-p)^n only when an oracle selector identifies a success. Real selection costs grow with n .
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