FYI, here is a method to solve the Rubik's cube that's optimized for memorization (it contains as few formulas as possible):
(Although memory shouldn't really matter for such few moves. Blindfolded solving is where it gets interesting.)
By definition, speedcubing is the opposite of "easy to memorize". The easier it is to memorize, the less formulas there are, therefore the more you need to do.
Speedcubing is about solving a cube in less than 25 seconds, which pretty much only leaves room for 3-4 formulas. That's a lot to memorize.