I'm not sure that it's working exactly as I want it to. For example 1.5 ^ 3 = 3.375, but using the substance power formula (((log 1.5) / (log 2)) * 3) ^ 2 = 3.079. It would be nice if there was a way to debug each nodes output.
I think I've tracked my issues down to the samplers in the pixel processor not tiling. If the x or y axis has a negative coordinate then it just shows up as black.
Sampling at negative values works for me, so there is probably a problem somewhere else in your graph. Would it be possible to share it with us so we can have a look at it?
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In general, whatever values of x,y,z (x and z > 0), you have x^y=z^((log x/log z)*y)