Equation 12 · Part 11 · Codex vs Claude Code: A Systems Comparison, Not a Benchmark Beauty Contest

Denominator: C_inference(n)+C_merge(n)+C_review(n)

G(n)=\frac{W_{\mathrm{useful}}(n)} {C_{\mathrm{inference}}(n)+C_{\mathrm{merge}}(n)+C_{\mathrm{review}}(n)}.

C_{\mathrm{inference}}(n)+C_{\mathrm{merge}}(n)+C_{\mathrm{review}}(n)

What this part means

The complete quantity below the fraction bar; it must be nonzero for this division.

Its job in the formula

$C_i$ nference(n)+ $C_m$ erge(n)+ $C_r$ eview(n) occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.

Full expressionDenominator: C_inference(n)+C_merge(n)+C_review(n)Article meaning

The passage around this formula

The important metric is not maximum concurrent workers. It is useful independent work per coordination token. For n workers, $G(n)=\frac{W_{\mathrm{useful}}(n)} {C_{\mathrm{inference}}(n)+C_{\mathrm{merge}}(n)+C_{\mathrm{review}}(n)}$ . 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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