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Equation 12 · Part 3 · Codex vs Claude Code: A Systems Comparison, Not a Benchmark Beauty Contest

Symbol W_useful

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)}.
WusefulW_{\mathrm{useful}}

What this part means

WuW_useful occurs above the fraction bar. The numerator is divided by the entire denominator below it.

Its job in the formula

WuW_useful occurs above the fraction bar. The numerator is divided by the entire denominator below it.

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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A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the article section

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