Interesting post. It seems that everyone wants to write their own jit rather than cooperate with the on-going open source efforts. 1) Support for recursion is in a PR for Numba that has just not yet been merged. 2) optional simplification of expressions using SymPy has been contemplated and is easy to add, though it's not clear if it's the interface people will want as it slows down compilation. 3) Numba has support for some array broadcasting via vectorize and is getting more in the coming 6 months.

A C++ target for Numba would also be of interest if anyone wants to participate in the development. Numba 0.15.1 was just released this week: https://github.com/numba/numba/tree/0.15.1 http://numba.pydata.org

conda install numba