On Monday, February 2, 2015 at 11:17:36 AM UTC-5, Jiahao Chen wrote:
>
> The entire point of orthogonal polynomials is that they can be evaluated 
> very efficiently using their recurrence relations. I would make use of this 
> fact to the extent possible allowed by numerical roundoff. 
>

(In a serious package, I would tend to want to see additional tricks, e.g 
hard-coding the low-order base cases with @evalpoly, combining multiple 
recurrence stages to coarsen the loop body, etc.) 

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