Parents method produces a result in finite time with probability infinitesimally close to 1. Yours produces a result in finite with probability infinitesimally

Parents method produces a result in finite time with probability infinitesimally close to 1. Yours produces a result in finite with probability infinitesimally close to 0. That is the greatest measurable difference in all of mathematics. In other words, on method basically always succeeds, the other never succeeds (not "fails", but "never succeeds")