Equation 47 · Part 2 · Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex
Symbol epsilon_i
What this part means
epsilo 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
epsilo 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 epsilon_i→Article meaning
The passage around this formula
For consequential work, “be careful” is not a stopping rule. Let the maximum tolerable probability of material failure be . A conservative decomposition assigns budgets to failure classes or transitions such that . This union-bound allocation can be loose, but it forces explicit questions. How much risk comes from specification ambiguity? How much from an untested platform? What is the permitted probability of credential exposure or irreversible data migration? Which observation would reduce the dominant term?
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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