Equation 35 · Part 1 · Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex
Symbol k
What this part means
the first rises with.
Its job in the formula
k appears in the conditional probability being evaluated. The vertical bar identifies the information or condition supplied to that probability.
Full expression→Symbol k→Article meaning
Where the article explains it
The first rises with k ; the second falls.
The passage around this formula
This is valuable for search: more attempts increase the chance of finding one acceptable candidate. Production consistency asks a different question. If k required deployments must all succeed, the same independence simplification gives . The first rises with k ; the second falls. -bench introduced a repeated-trial metric in this spirit and reported substantial deterioration across repeated tool-agent-user runs in its evaluated setting [ 9 ] . Coding-agent reports should state whether multiple trajectories were sampled and selected, or whether one configured system succeeds repeatedly.
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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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Sources cited in the surrounding passage
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