Equation 19 · Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex
What does this equation mean?
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the probability repair succeeds without creating another material defect. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol r_i
the probability repair succeeds without creating another material defect.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
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What the article says around this equation
An agent can recover only if the system generates a discriminating observation. Let stage i have direct success probability . If failure occurs, let be the probability it is detected, the probability the cause is diagnosed correctly, and the probability repair succeeds without creating another material defect. A simplified effective stage reliability is
Sources cited in the article section
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