[WIP] Add TaylorDiff

[tansongchen]

will solve #504

[codecov]

Codecov Report

❌ Patch coverage is 80.00000% with 1 line in your changes missing coverage. Please review.
✅ Project coverage is 5.43%. Comparing base (2743e18) to head (cf6ec8e).
⚠️ Report is 138 commits behind head on main.

Files with missing lines	Patch %	Lines
...orDiffExt/DifferentiationInterfaceTaylorDiffExt.jl	0.00%	1 Missing ⚠️

❗ There is a different number of reports uploaded between BASE (2743e18) and HEAD (cf6ec8e). Click for more details.

HEAD has 81 uploads less than BASE

Flag	BASE (2743e18)	HEAD (cf6ec8e)
DIT	16	1
DI	68	2

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #635       +/-   ##
==========================================
- Coverage   97.53%   5.43%   -92.10%     
==========================================
  Files         111      98       -13     
  Lines        5551    5356      -195     
==========================================
- Hits         5414     291     -5123     
- Misses        137    5065     +4928     

Flag	Coverage Δ
DI	8.34% <80.00%> (-90.32%)	⬇️
DIT	0.00% <ø> (-95.36%)	⬇️

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[gdalle]

Since it's been a year and both packages have evolved significantly, I'm gonna go ahead and close this. Feel free to reopen if still relevant, although higher-order differentiation is not the focus of DI.