[kardos]

Horner's method is known to reduce the number of operations. Maybe the coefficients will turn out to be more favourable with this method?

[1] https://en.wikipedia.org/wiki/Horner%27s_method

[lifthrasiir]

Horner's method serializes the entire computation so it is penalized in modern hardwares. When the accuracy is less important it is frequent to split the computation into a few chunks where each chunk uses Horner's method but they can be computed in parallel.