Equation 35 · Part 3 · Why Coding Agents Fail: Long-Horizon Reliability in OpenAI Codex
=
=
What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
Full expression→=→Article meaning
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.
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
Open the illustrated equality: what the equals sign claims guide →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.