@Aerma and
@PapaSmurf, I have 2 ways I'd suggest going about doing ZZ on 4x4/5x5
This one provides EO Cross which could have faster F2L
1) F2C
2) 3 Cross Edges (as in Yau)
3) Centers
4) Last Cross edge, rotate to preferred orientation
(unless you're CN which in that case just do a z' everytime
)
5) Edge Pairing (6-2 or 3-2-3)
6-2
5a) Pair 6 edges while doing EO simultaneously
5b) Pair L2E with a specialized algset that solves EO for both edges
3-2-3
5a) Pair 3-2 edges while doing EO simultaneously
5b) Pair L3E with a specialized algset that solves EO for all 3 edges
I'd learn both the L3E and L2E sets to be safe and have more flexibility while pairing
(This isn't necessary on 5x5, all you need are standard L2E algs)
6) Standard ZZ solve (I'd suggest F2L, COLL, EPLL+Parity)
This one only provides you with EO Line but may be more efficient
1) F2C
2) EO Line edges + 1 random oriented edge (positions same as in Yau 3 cross edges) If CN this can be super efficient
3) Centers
4) 1 random edge, oriented and placed in UL. Perform z'.
5) Same as above
6) Same as above (with the exception of true blockbuilding F2L)
You could also combine the 2 and end with 3 cross edges already solved but it depends on what you like.
EDIT: You don't
need the L2E/L3E subsets, you could pair all edges while doing EO until you have either 0 or 1 bad edge, in which case you can use an edge flipping alg. The subsets will probably make you faster though.
While we're on the topic of 5x5 methods, I've made a 1st draft that models itself off of both Yau-5 and Meyer on 4x4.
1) LR Centers
2) FB
3) Centers
4) 1 random edge in UL, rotate z' y' or use M slice pairing
5) Freeslice 4 edges (one must be an SB edge, place oriented in U/R depending on how you pair)
6) L4E
7) Solve as normal
FB's comparable to 3 cross edges, edge pairing's pretty good once you get used to 4r/4u moves, prepping an SB edge allows for better SB lookahead, and of course the rest of the solve is pretty good if you're good with M slices on big cubes (magnetic cube basically required)
Should be about the same efficiency as Yau 5/redux->CFOP. I suspect it's slightly slower than Yau5/redux->CFOP but it's still a really good method IMO.
I did a solve with it that's 192 STM. I'm awful at freeslice pairing but I did get pretty lucky on 3x3 stage. For reference, the WR 5x5 solve is 221 moves using redux-CFOP.
I didn't want to have any larger of a text wall than this post already is so here's a link to the solve 