I don't know exactly what I am dealing with yet, but when I finish the complete set of algs, I will post the document in this thread and comment on it.My point was that no one really has "learned" the ELL algorithms. Thom just put those up so he wouldn't have to explain commutators, but in reality, they aren't a set number of algorithms. It would be similar to comparing OLL algorithms to intuitive f2l. Your method probably requires a learned set vs. a group of intuitive commutators.
You also conjugate each of those cases (except for the single dedge OLL Parity of course) to affect adjacent dedges too, right? Just asking so that I can see how this works.As for the algs I learned, they include (by colloquial names) OLL parity, Double Parity, opp 2cycle, PLL parity, and the 2 checkerboard 4cycles (named from bigcubes.com 5x5). I actually didn't need to learn any of these for ELL specifically, as I had known of them previously from 5x5 solving.
Also, did you forget to mention 3x3x3 algs such as U-Perms (or other dedge preserving 2 3-cycles) or H or Z perms (or other dedge preserving 4 2-cycles)? I know it's not efficient to pair up the dedges first, but, if they happen to be paired up already it would be. The reason I ask is because you claim to be able to handle all 8! cases with just a maximum of 3 algs, using just the list of algorithms above. I just want to make sure I understand your method. Another reason I mention that is because two of the 32 PLLs are U-Perms, and obviously 4 of the 2 2-cycle algs are PLL parity or regular two dedge flips.