What are some common errors caused by shape polymorphism in JAX

1. Incompatible Shapes for Broadcasting: When using shape polymorphism, operations like addition or matrix multiplication may fail if the symbolic dimensions do not match the expected shapes. For example, trying to add arrays with shapes `(v,)` and `(4,)` will result in an error because `v` is a symbolic dimension that may not always equal 4[1][2].

2. Shape Checking Errors: Operations like matrix multiplication require specific shape constraints, such as having square matrices. If the symbolic dimensions do not satisfy these constraints (e.g., using `(v, 4)` instead of `(v, v)`), JAX will raise errors[1][2].

3. Inconclusive Dimension Operations: Comparisons involving symbolic dimensions can be inconclusive if they cannot be resolved to a boolean value for all possible values of the symbolic dimensions. This leads to errors like `InconclusiveDimensionOperation` when trying to compare symbolic shapes[1].

4. Shape Assertion Errors: JAX assumes that dimension variables are strictly positive integers. If the actual input shapes do not satisfy these assumptions (e.g., a shape like `(b, b, 2*d)` when `d` is not an integer), JAX will raise errors during execution[1][2].

These errors highlight the need to carefully manage symbolic dimensions when using shape polymorphism in JAX.