Published equation contexts
Why this formula appears here
The genuine trade this design makes can be stated without hand-waving. Suppose a task requires n discrete tool calls before it is complete, and let g be the number of those calls that execute between one human checkpoint and the next — the granularity of approval. A tool that asks before every action sets g=1 ; a tool that asks once for an entire plan, or once for an entire background task, sets g close to n . At a fixed cost c for each checkpoint a person has to evaluate, total interaction cost scales with the number of checkpoints: . Now suppose each individual tool call has some small, independent probability p of being consequential and wrong in a way a reviewer would…
Read the representative guide
Symbol g
g occurs below the fraction bar. The quantity above the bar is divided by this expression; zero is excluded as a denominator.
Read this term in its guide →How to interpret it
With a fixed numerator, increasing a nonzero denominator reduces the fraction. Its accuracy depends on the assumptions and range of use described in the article.
Published contexts (1)
A symbol can carry a different meaning in another article. Each occurrence keeps its own guide and term definitions.
Equation 7 · AI Agents & Systems
Comparing the Main Approaches to Claude Code and Agentic Development Tools
This equation gives an approximation: it relates the quantities while allowing an approximation.
The genuine trade this design makes can be stated without hand-waving. Suppose a task requires n discrete tool calls before it is complete, and let g be the number of those calls that execute between one human checkpoint and the next — the granularity of approval. A tool that asks before every action sets g=1 ; a tool that asks once for an entire plan, or once for an entire background task, sets g close to n . At a fixed cost c for each checkpoint a person has to evaluate, total interaction cost scales with the number of checkpoints: . Now suppose each individual tool call has some small, independent probability p of being consequential and wrong in a way a reviewer would…