1913 Inventory Math Reveals the Optimal Moment to Restart an AI Coding Session
A developer analyzed roughly 150 Claude Code sessions spanning over 1,000 transcripts to determine the most cost-efficient point at which to restart an AI session. The study found that context in large language model sessions behaves like warehouse inventory, where holding accumulated tokens incurs a compounding 'rent' cost through repeated cache reads, while restarting carries a one-time rebuild cost. By mapping this trade-off onto the Economic Order Quantity formula developed by Ford Harris in 1913, the developer derived a square-root equation to calculate the optimal session length. Key variables include the provider's cache write-to-read price ratio, the size of the working context floor, and average per-turn token growth. Under Anthropic's pricing the formula suggests restarting around 39 turns, while a provider with a higher cache ratio like DeepSeek shifts that threshold beyond 120 turns.
This is an AI-generated summary. ShortSingh links to the original source for the complete article.

Discussion (0)
Log in to join the discussion and vote.
Log in