We don't need all that powerful hardware, because we're not trying to guess the range of the Y point, we are only trying to guess whether it is positive or negative.
For such an analysis you only need a few hundred thousand public keys and I wouldn't be surprised if you could run such a simulation on a single laptop.
yes, use mathematical is smart way and no need to use powerful hardware
like ECC calculate fast
Did we need to create new algorithm to this this problem? or it is already have it?
use neural networks is require high power of hardware (and high power software too)