How is this different from JAX?
In deep learning, tweaking some syntax and adding some annotations isn't a big deal, but for the use cases we're interested in we really don't want to rewrite every library to be AD compatible. Zygote is pretty unique (outside of the scientific computing world) in being able to take libraries that were written years before AD existed in Julia, and differentiate them correctly and efficiently.
There are other, more subtle and technical, issues with those approaches, but that's really the Big Deal.