[fijal]

PyPy speedups over CPython in numeric code are in 50-200x ballpark, it really depends what you do. We can certainly do better, but it's within 2x of optimized C for most of it (unless there is a very good vectorization going on).

For stuff that I tried pypy was universally faster than Cython on non-type annotated code and mostly faster on type-annotated code from cython benchmarks.

[synparb]

It would be great to see a repo with this set of examples with code for both what is run under PyPy and the type-annotated cython code, and the exact settings that were used.

[fijal]

I run stuff I found in the cython repo only (good or bad) benchmarks/ or so. It was also ages ago so treat it with a grain of salt. My point is that there is no fundamental reason why cython should be faster than pypy (even with type annotations), because type annotations are essentially done during JITting. In fact, pypy should be faster because of other things, like a faster GC or objects.