multi turn

A paused conversation holds gigabytes of cache that its next turn will need in thirty seconds. Recompute costs prefill; reload costs bandwidth. The comparison is one division per tier, and the answer flips with prompt length.

A 70B model's KV cache is 320 KB per token, and a 30k-token conversation is 10 GB that GPU memory cannot keep between turns. The three tiers with their bandwidths, the break-even where reloading a prefix beats recomputing it, the eviction and lookup design, and the traffic shape where the tier is worth its complexity.