Help with producing sketch of 3D floor function

Question

I'm trying to find a software that I can use to produce a sketch of the function as follows: $$\zeta({x,y})=\frac{\lfloor{\sqrt[y]{x}}\rfloor+\lfloor{\frac{x}{y}}\rfloor-\lfloor{\frac{\sqrt[y]{x}}{y}\rfloor}}{x}$$ I've tried using Wolfram alpha but, no result comes up, is it too much data to compute?
I can get away with keeping the first term as floor function, but not the other two.