Higher order functions are difficult in general, and it would be fantastic to have core patterns or tools for breaking them open.
1. as you say, exposing patterns and tools for library authors to implement transformations/higher-order primitives using JAX's machinery rather than requiring each library to introduce bespoke magic to do the same;
2. adding JAX core infrastructure which directly solves the common problems that libraries tend to solve independently (and with bespoke magic).
If so, then allow me to make my usual advert here for Equinox:
https://github.com/patrick-kidger/equinox
This actually works with JAX's native transformations. (There's no `equinox.vmap` for example.)
On higher-order functions more generally, Equinox offers a way to control these quite carefully, by making ubiquitous use of callables that are also pytrees. E.g. a neural network is both a callable in that it has a forward pass, and a pytree in that it records its parameters in its tree structure.
> It's been a bit, but I think the most frustrating errors were around mapping pytrees (like this issue https://github.com/google/jax/issues/9928).
We've improved some of these pytree error messages but it seems that vmap one is still not great. Thanks for the ping on it.
> Also the barriers where I couldn't disable jit. IIRC pmap automatically jits, so there was no way to avoid staging that part out.
That was indeed a longstanding issue in pmap's implementation. And since people came to expect jit to be "built in" to pmap, it wasn't easy to revise.
However, we recently (https://github.com/google/jax/pull/11854) made `jax.disable_jit()` work with pmap, in the sense that it makes pmap execute eagerly, so that you can print/pdb/etc to your heart's content. (The pmap successor, shard_map (https://jax.readthedocs.io/en/latest/jep/14273-shard-map.htm...), is eager by default. Also it has uniformly good error messages from the start!)
> Next time I encounter something particularly opaque, I'll share on the github issue tracker.
Thank you for the constructive feedback!