Slogdet returns naive expression and is optimized later

[tanish1729]

Description

Changing slogdet so that we are able to use the rewrites made for Det

Related Issue

• Closes Optimizations for Det should also apply to SlogDet #1039

Checklist

• Checked that the pre-commit linting/style checks pass
• Included tests that prove the fix is effective or that the new feature works
• Added necessary documentation (docstrings and/or example notebooks)
• If you are a pro: each commit corresponds to a relevant logical change

Type of change

• New feature / enhancement
• Bug fix
• Documentation
• Maintenance
• Other (please specify):

---

📚 Documentation preview 📚: https://pytensor--1041.org.readthedocs.build/en/1041/

[ricardoV94]

We'll need a specialization rewrite that introduces slogdet as a replacement for log(abs(det(x))) and its sign.

I guess we can also do it without the abs.

This should be before we remove useless Blockwise.

[ricardoV94]

@tanish1729 changes are shaping up nicely. I think one more round and we're there

[codecov]

Codecov Report

Attention: Patch coverage is 94.59459% with 2 lines in your changes missing coverage. Please review.

Project coverage is 82.12%. Comparing base (33a4d48) to head (398f4ad).
Report is 92 commits behind head on main.

Files with missing lines	Patch %	Lines
pytensor/tensor/rewriting/linalg.py	93.93%	1 Missing and 1 partial ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1041      +/-   ##
==========================================
+ Coverage   82.11%   82.12%   +0.01%     
==========================================
  Files         183      183              
  Lines       47959    47978      +19     
  Branches     8635     8642       +7     
==========================================
+ Hits        39381    39403      +22     
+ Misses       6411     6408       -3     
  Partials     2167     2167              

Files with missing lines	Coverage Δ
pytensor/tensor/nlinalg.py	94.87% <100.00%> (+0.03%)	⬆️
pytensor/tensor/rewriting/linalg.py	93.28% <93.93%> (+1.90%)	⬆️

... and 1 file with indirect coverage changes

[ricardoV94]

Small details in the docstring rest looks great