add tests for Enzyme frontend for nonlinear problem

[m-bossart]

Add tests for SciML/NonlinearSolve.jl#439

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 37.23%. Comparing base (8dd3bdf) to head (e9d8786).

Additional details and impacted files

@@             Coverage Diff             @@
##           master    #1066       +/-   ##
===========================================
- Coverage   60.03%   37.23%   -22.80%     
===========================================
  Files          19       19               
  Lines        4586     4496       -90     
===========================================
- Hits         2753     1674     -1079     
- Misses       1833     2822      +989     

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[ChrisRackauckas]

Where is this at?

[m-bossart]

I made the change to not use a closure put pass all the arguments to autodiff. I included the tests for all the cases that we included previously with Zygote but not all of them pass (the commented ones). The uncommented tests with Enzyme should pass

[ChrisRackauckas]

I mean, what needs to review and merge first?

[m-bossart]

First SciML/SimpleNonlinearSolve.jl#151, then this should be ready.