I recommend increasing the order of the nonlinear fit from 6 to ~15 in Figure 13. This significantly reduces the error while not increasing the run time that much. With l=15, our run time is about 4x faster than batman and we get 7x smaller error. Also, the statement in the caption of Figure 9 isn't quite right, as the accuracy of the fit keeps increasing above l=6 (although it's hard to see on a linear scale; it would be clearer if you plotted it in log space). Somewhere between l=15 and l=20 this turns over, however, since we hit the roundoff error noise floor.
I recommend increasing the order of the nonlinear fit from 6 to ~15 in Figure 13. This significantly reduces the error while not increasing the run time that much. With
l=15
, our run time is about 4x faster than batman and we get 7x smaller error. Also, the statement in the caption of Figure 9 isn't quite right, as the accuracy of the fit keeps increasing abovel=6
(although it's hard to see on a linear scale; it would be clearer if you plotted it in log space). Somewhere betweenl=15
andl=20
this turns over, however, since we hit the roundoff error noise floor.