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Equation 27 · Part 4 · Why Cost and Latency Belong in the Evaluation Score, Not a Footnote

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C(k)≈kcˉC(k) \approx k\bar{c}
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What this part means

Approximately equal to; the equality is not exact.

Its job in the formula

Approximately equal to; the equality is not exact.

The passage around this formula

Start with how an agent handles its own failures. Suppose a task is retried up to k times under two different execution policies: sequential retry, where each attempt waits for the previous one to finish before starting, and parallel sampling, where all k attempts run concurrently and the first success is taken. Cost is roughly indifferent to which policy was used — the compute consumed scales with the number of attempts made, C(k) ≈\approx kcˉ\bar{c} , regardless of whether they ran one after another or all at once. Latency is not indifferent at all:

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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