### wai-quantum: whether designs converge on a model's, and a while on one's own

Feature 12 of the co-design report: a convergence monitor.

- **Along a history** (`converge::history`): for each version the person made after a model proposed, its structural distance from the proposals in its line of work (the whole proposal, taken or not) and the model's share of its gates (alone or then edited by the person). It is converging when most of the program is the model's, or when the last versions come closer to the proposals each time; `why` says which.
- **The assistant-off probes:** versions noted `organic exploration` are set beside the rest, by their distance from the proposals.
- **A cohort** (`converge::cohort`): the Vendi score over `1 − distance` (Jacobi eigenvalues), the effective number of distinct designs; each program's distance to the centroid of their gate-token bags; the medoid and the one built least like the rest; with times, the score in windows and whether it narrows.
- **The command line:** `wai-quantum converge history | cohort`.
- **For agents:** `converge_cohort` and `converge_history`.
- **The Studio:** "Your own way" under Versions, and "Explore on my own for a while". While it is on, the assistant only asks and offers no program, Explore and "Ask the model" wait, and the person's versions are noted; "End" lets the model propose again.
- **For hosts:** `converge::call`, `engine_converge` in the page, `converge` in the desktop app.
- **CI:** wai-web's native engine tests count 13.

