If anyone wants to know, the iOS version is much faster and more consistent than android because of a few tricks impossible on android and the level with the falling white chunks blocking the exit to phase 5 not being a luck grind

Watch the 7:14 run I did on phase 5 I figured out a way to beat the launch part and save a jump by skipping over the 3 pillars and also to beat the rng launch part after 100% of the time by going back hitting the supporting beam and flipping it over then going back slightly to get off the slope and jumping. 
Also first part of phase one if you jump in between the 3 rotating squares and jump out and hit the little platform on the edge of the checkpoint you can make it all the way to the white square on the 2nd part saving a jump and then after if you hit the square it will ramp you if you do it right onto not the next square but the one after saving another jump. 
In phase 2 if you look at the part on my run where you go through the balls shooting at you I employ the tactic of going under them just look at the run for what I mean but what you do is restart and hold down from the beginning then once u bounce go back a little and then go forward and hold it.
Also in phase 2 the spinning squares you can save 3 jumps just look at the video for that but if you look at the last jump where you normally have to hit it on a down jump sometimes the square is spinning so it is slanted and if you go you can sometimes get that. It is very risky if done improperly.
On the elevator part of stage 4 I found a glitch where if you hold down into the wall you don't jump up and can go whenever you like (helpful for timing).
PS: 6 minutes is possible and as stated earlier you should run on IOS because phase four end is more consistent.

Awesome, glad to see this get some activity, I don't have an ios device, so I won't be a part of that. And after watching your run, I'd say 6:4X is quite perfect.