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Equation 10 · Part 1 · Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex

Symbol p_i

pip_i
pip_i

What this part means

the probability stage i succeeds conditional on all prior required state being correct.

Its job in the formula

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

Where the article explains it

If pip_i is the probability stage i succeeds conditional on all prior required state being correct, then

The passage around this formula

Suppose a task requires n materially dependent stages. If pip_i is the probability stage i succeeds conditional on all prior required state being correct, then

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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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See this notation across published equations →

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