Equation 2 · Why Claude Code Delegates to Subagents, and What That Actually Buys You
What does this equation mean?
Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
Read it piece by piece
Symbol T_parent
arent is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
subscript
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
How to interpret it
Read this expression with the definitions, units, and assumptions supplied by the article.
What the article says around this equation
The parent conversation’s occupied share of its own window, , stays small and bounded even as the total work performed across k delegated subagents grows without bound. That inequality is the real content behind the phrase “context savings” — the saving is measured in the one window that has to keep attending to everything else in the task, not in total tokens billed.
Sources cited in the article section
- [4] Effective context engineering for AI agents ↗
- [7] Lost in the Middle: How Language Models Use Long Contexts ↗
- [2] Explore the context window ↗
These citations give research context. Read each source to check which claims it supports.
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