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Equation 15 · Part 1 · Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex

Symbol i

ii
ii

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i is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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i is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

An agent can recover only if the system generates a discriminating observation. Let stage i have direct success probability pip_i . If failure occurs, let did_i be the probability it is detected, cic_i the probability the cause is diagnosed correctly, and rir_i the probability repair succeeds without creating another material defect. A simplified effective stage reliability is

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