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Equation 12 · Part 8 · Codex vs Claude Code: A Systems Comparison, Not a Benchmark Beauty Contest

fraction

G(n)=Wuseful(n)Cinference(n)+Cmerge(n)+Creview(n).G(n)=\frac{W_{\mathrm{useful}}(n)} {C_{\mathrm{inference}}(n)+C_{\mathrm{merge}}(n)+C_{\mathrm{review}}(n)}.
fraction

What this part means

Divide the expression above the line by the one below it.

Its job in the formula

The expression above the fraction bar is divided by the complete expression below it. The denominator must not be zero.

The passage around this formula

The important metric is not maximum concurrent workers. It is useful independent work per coordination token. For n workers, G(n)=Wuseful(n)Cinference(n)+Cmerge(n)+Creview(n)G(n)=\frac{W_{\mathrm{useful}}(n)} {C_{\mathrm{inference}}(n)+C_{\mathrm{merge}}(n)+C_{\mathrm{review}}(n)}. G(n) can decline when workers rediscover shared context, return verbose summaries, edit overlapping files, or rely on inconsistent assumptions. Start parallelism with read-heavy mapping, test analysis, security review, and documentation verification. Isolate writers in worktrees and keep a single owner for global invariants.

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Learn the underlying idea

A fraction a/b means a divided by b. The top number is the numerator; the bottom number is the denominator, and it cannot be zero.

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Sources cited in the article section

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