AI by Hand ✍️

AI by Hand ✍️

Remaining Space

Whether the next message fits

Prof. Tom Yeh's avatar
Prof. Tom Yeh
Aug 19, 2026
∙ Paid

Library › Context Problems

  1. The Context Window

  2. Window Occupancy

  3. Growth per Turn

  4. Remaining Space

  5. Turn Budget

  6. Retrieval Footprint

  7. Retrieval per Turn

  8. Search Rounds

  9. Window Sizing

  10. Truncation

  11. Compaction

  12. The Compaction Bill

  13. Compacted Retrieval

  14. The Compaction Threshold

  15. Verbatim Tail

  16. Stateless API

  17. Retrieval Cost

  18. Context Tax

  19. Quadratic Cost

  20. Cost Forecast

A context window is a fixed number of cells, and a new message has to fit the ones left over. Turn the message into chunks, then number them into the empty cells one at a time. If the cells run out before the chunks do, the message does not fit and the agent has to drop or compact something to make room. If the chunks run out first, with cells to spare, it fits.

Paid members: the worksheet and its printable PDF are below ↓

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