Hi all, sorry for the massive necropost, but I've generated the full sets of algs for all steps in the EZD variant, available in
this spreadsheet.
- There are several algs which seem to be new (at least in the context of SSC). Some of my favourites are:
- R2U'F2U2R2U'R2F2 for J/J corner perm + FR/BR swap
- F2r2UM2U'R2F2 for Ua/Ub PBL
- OL5C cases are different from sqAree's set for better recognition, while retaining optimal STM movecount.
- Several CPBL cases have shorter algs than their Sq-1 CP counterparts.
- As far as I can tell, this is the first complete set of EZD algs, including parity. (Maybe people familiar with Roux would know these? Let me know)
Having these alg sets also makes it possible to calculate average movecounts for each substep from OL5C onwards:
- OL5C: 7.2
- CPBL: 13.7
- LEE (EZD): 16.8
- LEE (Roux-style): 15.8
Note that these figures would vary slightly from person to person, depending on which moves you want to count as 1 ETM (eg. U'D' is 1 move for me), how many angles you can do the algs from (for CPBL and EZD), and whether you can predict and cancel moves between substeps. However, these figures show that Roux-style LEE turn out to be more efficient than edge separation+EZD, which I think some people have already suspected.
Also, this shows that CPBL+LEE takes over 29 moves on average to finish the solve from Domino reduction; this puts my estimate for the average movecount of SSC close to 50; or maybe I'm just really bad at making pseudotriple+pseudopair?
A side note about the CPETL proposal earlier in this thread: I'm pretty doubtful about the claim that there are only 48 cases. The skip probability is 1/5040, so each CPETL case has probability at most 16/5040 = 1/315 (16 comes from U/D rotations), and so there should be slightly more than 315 cases, comparable to some large F2L LL sets, and so probably much less feasible than previously thought.
(Yes, you don't have to inform me that I'm working on a long-dead method; I'm enjoying myself anyway. Domino reduction is just way too cool as an intermediate state for me to stop thinking about SSC.)