I just noticed that badphemisto actually has several E-perm algs.
On his "2-look PLL cheatsheet", it says x' [ ( R U' R') D ( R U R') ] u 2 [ ( R' U R ) D ( R' U' R ) ].
THAT's the one I can't stand.
On some youtube video, I found this one : z U2 R2 F (R U R' U')3 F' R2 U2 z'.
THAT's the one that I find slower than two A-perms.
However, on badmephisto's regular PLL page, it says : x' (R U' R') D (R U R') D' (R U R') D (R U' R') D'.
NOW this one is great. MUCH faster than two A-perms. In fact it's nearly as fast as a single A-perm.
A special thanks to
@One Wheel for pointing out the existence of cyotheking's video, where he uses this last alg.