Cache dynamic solver metadata and treat `status` as dynamic property

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 88.85%. Comparing base (b5621db) to head (f7b9ef8). Report is 39 commits behind head on master.

Additional details and impacted files

```diff @@ Coverage Diff @@ ## master #663 +/- ## =========================================== + Coverage 0 88.85% +88.85% =========================================== Files 0 42 +42 Lines 0 4829 +4829 =========================================== + Hits 0 4291 +4291 - Misses 0 538 +538 ```

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