Add a second cache for bridged variables

[odow]

Closes #564

[codecov[bot]]

Codecov Report

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

Comparison is base (e5b218f) 97.94% compared to head (7d821c5) 97.94%.

Additional details and impacted files

```diff @@ Coverage Diff @@ ## master #584 +/- ## ======================================= Coverage 97.94% 97.94% ======================================= Files 91 91 Lines 5069 5071 +2 ======================================= + Hits 4965 4967 +2 Misses 104 104 ```

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