I want to implement a neural net on FPGA, and I need a fast function to calculate (approxmite) tanh.
Accuracy of 2 digit after point will be enough.
https://www.planetmath.org/taylorseriesofhyperbolicfunctions This looks fast enough, depending on your needs. You can add more, or discard the higher terms, and keep the first few for speed, e.g.: (python syntax)
x-1/3*x**3+2/15*x**5
If you also need the derivative, it's easy to calculate for polinomials. (AFAIR you need that for back propagation)