[rzzzt]

Evaluation also becomes easy this way, using Horner's method: https://en.wikipedia.org/wiki/Horner%27s_method#Python_imple...

[jakear]

Something along the lines of this right?

  eval =
  v [] => 0
  v x:xs => x + v * eval v xs

You do have to love how clean definition by cases makes these sorts of things.

[abecedarius]

But this doesn't argue for the low-to-high order, because of reversed(). This code would be simpler and faster with the coefficients in the opposite order.

[rzzzt]

You're right, the process does start from the higher coefficients, and so does not really support the ordering presented.

You either need to use foldr to defer the multiply-and-add until the end of the list is processed, or reverse the list before processing it.