Add AutoTaylorDiff

[tansongchen]

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

Adding type AutoTaylorDiff, currently only have order as type parameter.

[avik-pal]

also bump the minor version

[tansongchen]

Just fixed and bumped version

[tansongchen]

@gdalle I'm a bit confused, how to fix this documentation error?

[gdalle]

You should include AutoTaylorDiff to the API reference by modifying this file:

ADTypes.jl/docs/src/index.md

Lines 33 to 37 in d468741

	Taylor mode:
	```@docs
	AutoGTPSA
	```

[tansongchen]

Can I run the workflow again?

[gdalle]

See #100

[tansongchen]

Thanks! Since the error is unrelated, could you first merge this before solving the token issue, so that I can deal with SciML/NonlinearSolve.jl#507 ? I believe on the main branch the CI will work just fine. 😄

[gdalle]

I also think the CI will work, can you just do a vibe check and confirm that your tests should cover all the additional code, for lack of a codecov report?

[tansongchen]

Yes, I can confirm that all new code is covered (constructor function is called with both arg and without arg; mode is run). And I actually found an error in my previous commit: I added a remote = nothing in docs/make.jl for local testing but I forgot to remove that on push, which might be the reason for codecov failing. Could you run the CI again?

[tansongchen]

I see, codecov is still not working, so indeed a permission problem

[tansongchen]

If you don't have concerns other than the codecov, it's ready to merge?