@uhoh Since the minimization problems are convex and there is also the message es'Optimization terminated successfully.' for resmrs and resmax, i was fairly confident in the results. Also maxiter and maxfev where not reached. But at least it is clear that the Apollo coefficients are much better than the Taylor coefficients

@uhoh So what they did was much better than Taylor approximation (@zch suggested this already). I have edited and also linked to your python code. Great Analysis - it shows that mean square error was more important to them than the maximal error.