* nb init

* small cleanup and re-run

* add section to gallery

* final cleanup

* title

* rename

* rename section

* add `scipy-stubs` as development depedency

* fix `scipy-stubs` squigglies

https://numpy.org/devdocs/release/2.3.0-notes.html#deprecations

* Add compiler_verbose config flag

* Add entry in `config.rst` for `compiler_verbose`

---------
Co-authored-by: Jesse Grabowski <jessegrabowski@gmail.com>

Also cover cases of AdvancedIncSubtensor with batch indices that were not supported before

* Skip slow numba pad tests

* Reduce number of Second tests

* Update test.yml

Also implemented tests as suggested by ricardoV94

They don't simplify shape inference, since the operation is never meaningful shape-wise

* Add `concat_with_broadcast` helper function

Use new helper in xt.concat
Co-authored-by: Ricardo <ricardo.vieira1994@gmail.com>

* block_diag dot rewrite
Co-authored-by: Ricardo <ricardo.vieira1994@gmail.com>

---------
Co-authored-by: Ricardo <ricardo.vieira1994@gmail.com>

* Implemented allow_cast in PatternNodeRewriter
to allow rewrites that would otherwise fail when the new and old dtype differ.
Example:
`np.array(1., "float64") - sigmoid(x)` cannot be rewritten as
`sigmoid(-x)` (where x is an fmatrix) because the type would change.
This commit allows an automatic cast to be added so the expression
is rewritten as `cast(sigmoid(-x), "float64")`.
Relevant tests added.

* Added test cases for which issue #1497 fails

* Changed PatternNodeRewriter::transform to allow types that do not contain dtype
like MyType in the tests

* Address #1497 by changing instances of np.isclose to a function isclose, which uses 10 ULPs by default

* Addressed failed tests (with older python/numpy versions)

* Addressed feedback by ricardoV94

* Test PatternNodeRewriter doesn't support multi-output nodes in pattern

But it's fine if they're just root inputs

---------
Co-authored-by: Luca Citi <lciti@ieee.org>
Co-authored-by: Ricardo Vieira <ricardo.vieira1994@gmail.com>

The marked xfail test was failing because Ger wasn't introduced, not because of the complex dtype.

New rewrite is added to convert unpaired batched row/column matvec or vec products as equivalent matmul products.