Cheta with base-change: preliminary results

[bo198214]

For the curious, I first found my change of base constant for x=1. I found that log(log(log(exp(exp(exp(1)))+1)+1)+1) is about 1.33030160653615. I then iteratively calculated log(x+1), performing 500 iterations. Using this value (about 0.00400318938047073), I then generated a 150-term interpolation function (using a FMA matrix based on Andrew's scripts). Using the interpolation funciton, I created a 129-point grid with spacing 2^[-108].

If you have the interpolating polynomial, cant you compute the derivatives directly from it (instead of computing it numerically as it seems you do in the moment)?