If I would be the creator I would laugh so hard about some of the things discussed here.

Guys, a logarithm is an abstract concept, not some math function.

You get a thing called a "base change". In this case we're dealing with a change of base of an element from some position in a finite field (private keys) to an element in the same position in a finite group (EC public keys) and the problem is to solve for the position without a way to go back from the latter to the first (which is assumed to be hard, but not yet proven). WTF is with the real numbers field log2 discussion, it makes no sense, we already know the ranges double in size at each step, of course any polynomial regression or whatever is a straight line. Dividing 1 by (2**64) is four levels of magnitude below a double-precision IEEE floating point, so what errors do you expect, they will always be after the 64-th zero decimal digit in reality. Nevermind the fact that there's an infinity of real numbers between any two real numbers, so an infinity of computations. Take 7 as a private key and try to solve back from [1/4, 1/8) interval, mission impossible.

This is not an analytical problem, it's a group theory problem.