← All parts of this equation

Equation 35 · Part 3 · The Economics of Codex: Tokens, Sandboxes, Review Time, and Software Throughput

superscript

1−(1−p)n1-(1-p)^n
superscript

What this part means

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.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

The passage around this formula

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 .

Read this part in the article →

Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

Open the illustrated exponents: repeated multiplication and powers guide →

The article lists its research sources here.