2180161
Veteran
It just occurred to me that L5E would be a great way to finish off Petrus. The steps are as follows:
1) Build a 2x2x2 block
2) Extend to 2x2x3 block
3) Place fr and br edges (this is the orientation I use for Petrus)
4) Orient corners
5) Permute corners
6) y (because I don't want to use s moves in a speedsolve)
7) L5E
All steps from 3-5 are 2-gen.
Step 7 can be treated as 2-gen as well using only U and M moves.
This method can also be used in conjunction with Yau and and the fourth cross edge can essentially not be a required step for Yau and can be done along with the other edges.
Sorry for bringing up an older post, but what if you randomly inserted a good edge in the D-layer, solve the edges as pairs, full edge control, COLL, and then L5E?