I think Academia is more likely to criticize your technique because it doesn't generalize to any ring or you didn't prove a certain assumption you had.
Of course the real bug is in some IEEE 754 quirk you forgot to consider.
> Some engineer out there has solved P=NP and it's locked up in an electric eggbeater calibration routine. For every 0x5f375a86 we learn about, there are thousands we never see.