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Equation 14 · Part 3 · OpenAI and Claude on Agentic Coding: What the Independent Evidence Actually Shows

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sadj≈sreported×(1−fp)s_{\mathrm{adj}} \approx s_{\mathrm{reported}} \times (1-\mathrm{fp})
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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

The size of that drop is close to what a simple deflation model predicts. If sreporteds_{\mathrm{reported}} is the score under the original oracle and fp\mathrm{fp} is the false-positive rate the adversarial suite exposes, then sadj≈sreported×(1−fp)s_{\mathrm{adj}} \approx s_{\mathrm{reported}} \times (1-\mathrm{fp}). gives 0.7880 ×\times (1 - 0.1971) ≈\approx 0.633 — within a percentage point of the measured 0.622 [ 14 ] . That closeness is a coincidence of rounding as much as a proof of the model, since rejected patches are not independent of task difficulty, but the approximation is useful precisely because it names the assumption plainly: a benchmark score is a joint statement about the system under test and the strength of the judge grading it, and when the judge gets…

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Sources cited in the surrounding passage

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