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Equation 46 · Part 1 · Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex

Symbol epsilon_i

ϵi\epsilon_i
ϵi\epsilon_i

What this part means

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

Its job in the formula

epsilonin_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

For consequential work, “be careful” is not a stopping rule. Let the maximum tolerable probability of material failure be ϵ\epsilon . A conservative decomposition assigns budgets ϵi\epsilon_i to failure classes or transitions such that

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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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