First off, I love that color choice, and btw, I was a professional painter.
The wall just needs additional coats. Working from the top down in 4x4 foot squares, try this. Dip the roller (wet) and paint a "W" on the wall. Dip the roller again (wet) and then go up and down with light pressure from top to bottom, slightly overlapping where you just went. That will speed you up. Always keep a wet roller and let it do the work (you shouldn't have to press hard). Also, it's possible you need a thicker roller cover. What nap is it? I always use at least a 1/2" nap roller, even on smooth surfaces (except when applying any gloss or alkyd product).
Also, and more importantly, what about the ceiling? You're supposed to do the ceiling first because it's sure to drip/spray on the wall when painting it. Also, if you think it's hard getting red to cover white, just wait until you try covering up that red you've gotten on the cieling. The ceiling paint should have overlapped on the walls, not vice-versa.
No worries though, that's going to look awesome when done.
1080p, where marketing genius and science fiction collide!