Equation 44 · Part 3 · Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex
Symbol K_i
What this part means
the check cost.
Its job in the formula
is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol K_i→Article meaning
Where the article explains it
Let an unchecked latent error at stage i create expected downstream loss , a check cost , detection probability , and false-alarm cost .
The passage around this formula
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, . High-value checkpoints occur before expensive or irreversible transitions: after specification, before schema migration, after dependency changes, before broad refactors, before network or credential escalation, and before merge or deployment. Cheap deterministic checks should run earlier and more often than expensive human review.
Learn the underlying idea
A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.
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