Add rewrite for log(sqrt(x))

[williambdean]

Description

Related Issue

• Closes Rewrite log(sqrt(x)) -> 0.5 * log(x) #1437
• Related to #

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--1555.org.readthedocs.build/en/1555/

[ricardoV94]

Looks great, just a small note

[ricardoV94]

Neat!

[williambdean]

Digesting this
https://github.com/pymc-devs/pytensor/actions/runs/16571579361/job/46865085422

[ricardoV94]

There's a new test utility that does equal_computation, and also dprints the graph if it fails, that we can start using for tests. It makes it easier to debug why the test is failing

[codecov]

Codecov Report

❌ Patch coverage is 84.61538% with 2 lines in your changes missing coverage. Please review.
✅ Project coverage is 81.53%. Comparing base (892a8f0) to head (c139f75).
⚠️ Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
pytensor/tensor/rewriting/math.py	84.61%	1 Missing and 1 partial ⚠️

❌ Your patch status has failed because the patch coverage (84.61%) is below the target coverage (100.00%). You can increase the patch coverage or adjust the target coverage.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #1555      +/-   ##
==========================================
- Coverage   81.53%   81.53%   -0.01%     
==========================================
  Files         230      230              
  Lines       53066    53079      +13     
  Branches     9423     9425       +2     
==========================================
+ Hits        43269    43279      +10     
- Misses       7364     7365       +1     
- Partials     2433     2435       +2     

Files with missing lines	Coverage Δ
pytensor/tensor/rewriting/math.py	90.39% <84.61%> (-0.05%)	⬇️

... and 1 file with indirect coverage changes

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[ricardoV94]

Thanks hero

[ricardoV94]

PS: a bit less noisy if you create branches on your fork than on the pytensor one, so we don't need to go about deleting stale branches in the future