docs: improve and automate docstrings

[gdalle]

No description provided.

[codecov]

Codecov Report

Attention: Patch coverage is 85.71429% with 2 lines in your changes missing coverage. Please review.

Project coverage is 76.62%. Comparing base (9d2d9ba) to head (68a26ad).
Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
DifferentiationInterface/src/docstrings.jl	85.71%	2 Missing ⚠️

❗ There is a different number of reports uploaded between BASE (9d2d9ba) and HEAD (68a26ad). Click for more details.

HEAD has 27 uploads less than BASE

Flag	BASE (9d2d9ba)	HEAD (68a26ad)
DIT	8	3
DI	37	15

Additional details and impacted files

@@             Coverage Diff             @@
##             main     #742       +/-   ##
===========================================
- Coverage   97.47%   76.62%   -20.86%     
===========================================
  Files         124      119        -5     
  Lines        6546     6489       -57     
===========================================
- Hits         6381     4972     -1409     
- Misses        165     1517     +1352     

Flag	Coverage Δ
DI	71.92% <85.71%> (-26.35%)	⬇️
DIT	86.86% <ø> (-8.89%)	⬇️

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