Equation 6 · Part 2 · Evaluating Trajectories, Not Answers
Symbol k
What this part means
k 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
k 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 k→Article meaning
The passage around this formula
The two quantities point in opposite directions as sampling increases. With per-attempt success probability p and independent attempts, compare . The first rises toward one; the second falls toward zero. They are computed from the same runs and answer entirely different questions, and reporting the first while the deployment depends on the second is the most common quiet misrepresentation in agent evaluation.
Learn the underlying idea
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.
Open the illustrated variables: a letter stands for a value guide →
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Sources cited in the article section
- [4] τ-bench: A Benchmark for Tool-Agent-User Interaction in Real-World Domains ↗
- [10] The Illusion of Diminishing Returns: Measuring Long Horizon Execution in LLMs ↗
- [9] Measuring AI Ability to Complete Long Software Tasks ↗
These citations provide research context; check each source for the exact claim it supports.