Upgrade to ADTypes v1

[gdalle]

Supersedes #412

Checklist

• Appropriate tests were added
• Any code changes were done in a way that does not break public API
• All documentation related to code changes were updated
• The new code follows the
  contributor guidelines, in particular the SciML Style Guide and
  COLPRAC.
• Any new documentation only uses public API

Additional context

Add any other context about the problem here.

[codecov]

Codecov Report

Attention: Patch coverage is 96.87500% with 1 lines in your changes are missing coverage. Please review.

Project coverage is 85.70%. Comparing base (17bb8a8) to head (844d78c).

Files	Patch %	Lines
src/internal/jacobian.jl	75.00%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##           master     #426      +/-   ##
==========================================
- Coverage   86.30%   85.70%   -0.60%     
==========================================
  Files          47       47              
  Lines        2913     2904       -9     
==========================================
- Hits         2514     2489      -25     
- Misses        399      415      +16     

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[gdalle]

I don't understand what the formatting check does? It doesn't seem related to JuliaFormatter

[ChrisRackauckas]

It is JuliaFormatter. It's saying you haven't ran the formatter on this.

[gdalle]

@avik-pal this is starting to look decent in my view

[avik-pal]

Test failures are either codecov update failure or same as master

[gdalle]

Thanks for the merge! Can we tag a new release?

#429