Flying kick animation cancel (for that extra speed)

Flying kick, Dive kick, Jump kick.

How to do it

First you will need that double jump. Go get it and come back here later, if you already have it, here it goes:

With A as the jump button:
A, A, down-forward, A, up-foward (at the moment of the landing), repeat

The timing gets harder the higher the jump, at some point it's humanly impossible, but making small jumps quickly does improve your speed greatly, about 1.5 ~ 1.75 times quicker than walking, even more quick if you kick lamps and enemies, soon you will be traveling those rooms like lightning, at least until you get something that makes this useless.