Equation 42 · Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
the detection probability. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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subscript
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.
How to interpret it
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What the article says around this equation
Checkpoint placement is a value-of-information problem. Let an unchecked latent error at stage i create expected downstream loss , a check cost , detection probability , and false-alarm cost . A check is favorable when, approximately,
For background, read the article’s source list.
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