Equation 12 · Part 5 · Measuring AI Agent Reliability: What the Evidence Actually Supports
=
=
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
Pass@k answers a specific question: given a budget of k independent attempts, what is the chance that at least one succeeds? That is the right question for a search-and-verify workflow, where a cheap checker can identify the one attempt that worked among several candidates. It is the wrong question for almost everything else an agent does, because most agentic tasks do not offer a free, cheap oracle that can pick the winning attempt out of a pile of candidates after the fact — the “attempt” is the deployment. For that setting, Yao and colleagues, building the tau-bench benchmark for tool-using agents interacting with simulated customers under domain policies, proposed the complementary…
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.