Add ADTypes sparsity detector

[gdalle]

Following the release of ADTypes.jl v1.0, this PR adds a SymbolicsSparsityDetector struct that implements the new sparsity pattern detection framework.

• [x] Bump Symbolics version to 5.29.1
• [x] Add dependency on ADTypes (imported by SciMLBase anyway)
• [x] Define and export the SymbolicsSparsityDetector struct
• [x] Implement ADTypes.jacobian_sparsity and ADTypes.hessian_sparsity for general arrays, not just vectors
• [x] Add tests
• [x] Add documentation

[gdalle]

@ChrisRackauckas this is part of the great wave of updates

[codecov-commenter]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 75.94%. Comparing base (79c4e92) to head (07fdabd). Report is 198 commits behind head on master.

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Additional details and impacted files

```diff @@ Coverage Diff @@ ## master #1134 +/- ## ========================================== - Coverage 77.07% 75.94% -1.13% ========================================== Files 32 36 +4 Lines 3533 3692 +159 ========================================== + Hits 2723 2804 +81 - Misses 810 888 +78 ```

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[gdalle]

@Vaibhavdixit02 I think the NonLinearSolve upgrade needs to come first before this one. Let me know if you need help

[gdalle]

The only test failure that seems relevant is the downstream test with ModelingToolkit (https://github.com/JuliaSymbolics/Symbolics.jl/actions/runs/9127346950/job/25097459503?pr=1134).

I think it is happening because OptimizationBase has not yet fully embraced ADTypes v1.0 (see https://github.com/SciML/OptimizationBase.jl/issues/44). @Vaibhavdixit02 what do you think?

[ChrisRackauckas]

Can you rebase onto the depwarn fixes?

[gdalle]

done

[gdalle]

Not sure that was a great idea though, nearly all tests fail on master now :thinking:

[ChrisRackauckas]

@shashi is handling a big update over the next week, after which we will revisit this PR.

[gdalle]

No rush!

[gdalle]

Gentle bump on this one, it's absolutely non-destructive and would be useful for benchmarking