Automatic differentiation for primitives

[shoubhikraj]

Replaces hand-coded derivatives for primitive internals with automatic differentiation so that upto second derivatives can be calculated for any primitive.

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Checklist

• The changes include an associated explanation of how/why
• Test pass
• Documentation has been updated
• Changelog has been updated

[codecov]

Codecov Report

Attention: 6 lines in your changes are missing coverage. Please review.

Comparison is base (c4a0211) 97.37% compared to head (61f93f0) 97.40%.

Files	Patch %	Lines
autode/opt/coordinates/_autodiff.py	98.29%	5 Missing ⚠️
autode/opt/optimisers/crfo.py	50.00%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##           v1.4.2     #311      +/-   ##
==========================================
+ Coverage   97.37%   97.40%   +0.03%     
==========================================
  Files         206      208       +2     
  Lines       23048    23451     +403     
==========================================
+ Hits        22443    22843     +400     
- Misses        605      608       +3     

Flag	Coverage Δ
unittests	97.40% <98.92%> (+0.03%)	⬆️

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[t-young31]

from a quick scroll this looks (a) awesome and (b) like it doesn't change any of the public API, so suitable for a patch release? if so, I'll push a blank v1.4.2 branch and it can target that

[t-young31]

love it. left a few comments – nothing major

[shoubhikraj]

@t-young31 Thank you! Yes, the modification should not change the public api, so it should be ok for patch release.

[t-young31]

have changed the base to v1.4.2. would you mind adding something to the changelog? cheers 😄

[t-young31]

feel free to merge after the changelog update 🚀

[shoubhikraj]

@t-young31 Could you please have one last check before merge?

[t-young31]

❤️