JVP, HVP [in progress]

[sritchie]

• replace perturbed? with something that bubbles up perturbed candidates
• combine ->partials and extract so we can remove the replace-tag impl in Completed fully, that should never leak out anyway... would be great if that worked.
• add an extract-primal with support for supplying a tag
• for vjp, are we correctly handling function outputs? I think we are still only handling structural return values. think through and fix...
• Can I use extract-tangents with a continuation function to accomplish what I need to? does that get me the completed map that I need? that would be great, because then the same mechanism keeps outputs extensible and I only need to switch on the inputs, just like we do in derivative... I don't think so :(
• maybe I can do it with a mode argument
• think through with @littleredcomputer how to manage the versions that return the primal too. can we avoid code duplication?
• reference in the notes https://hackage.haskell.org/package/ad-4.5.5/docs/Numeric-AD-Mode-Kahn.html
• fix series output in symbolic-taylor-series test

[codecov]

Codecov Report

Attention: Patch coverage is 47.22222% with 38 lines in your changes are missing coverage. Please review.

Project coverage is 87.47%. Comparing base (bd47efd) to head (910a669).

Files	Patch %	Lines
src/emmy/calculus/derivative.cljc	47.22%	36 Missing and 2 partials ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #167      +/-   ##
==========================================
- Coverage   87.69%   87.47%   -0.23%     
==========================================
  Files          99       99              
  Lines       15791    15855      +64     
  Branches      850      851       +1     
==========================================
+ Hits        13848    13869      +21     
- Misses       1093     1135      +42     
- Partials      850      851       +1     

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