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If you care about speed for a variety of events then cfop is great. It’s been proven to be very viable for attaining fast times for 3x3, OH, feet, and reduction on 4-7.

If you are a little more into intuition you can try out roux which has gotten a few good times but is a lot less developed. Only really good for 3x3 and OH (with lots of table abuse)

If you are just choosing a method to use for fun then the possibilities are pretty much endless lots of fun methods out there

For the past several months I've continued to test methods using combinations and different orders of simple substeps in order to find a method with simple steps, with <20 algs, and an avg move count around 55.

The below steps are similar to what I previously posted, but now the belt is made after corners are done.
This adds a few moves while doing the E-Layer, but prevents the 2 steps I disliked most: the possibility of parity and the permutation of E-Edges at the end of the solve.

EO - (5) Orient All 12 Edges CO - (10) Orient All 8 Corners CS - (3) Separate Corners to U and D by Matching Color CP - (9) Permute Corners Both Layers E-lyr - (11) Permute 4 E-Layer Edges DL/DR - (7) Permute 2 L/R Edges on D + centers UL/UR - (6) Permute 2 L/R Edges on U EP(m) - (4) Permute Midges
------ 55 ! (or fewer)

I'm sure a solver more advanced than me could consistently get solves of sub-50 moves with better corner solving and L8E efficiency.

I know there aren't new breakthroughs here, but I’m satisfied with it and now just want to get faster using it.
I'm open to feedback if anyone wants to comment,

I converted the text descriptions of these 8 steps into graphical PDFs at this URL: http://tinyurl.com/solvexio
Look for the files named: "EoCol8"

There is a concise 1-page version with algs and examples
and a 2-page version with more details about: Edge Orientation, Corner Separation and E-Layer Permutation

The method on these sheets keeps the alg-count low, so some steps are longer than optimal.
But I'm still consistently getting a 55 move average using the steps shown in the doc.

Again, I think that someone using more algorithms and/or more advanced techniques, could have optimized solves averaging moves in the mid-40s if...
...for example...
All 8 corners can be oriented and permuted using 17-18 moves (instead of 22)
The 4 E-layer edges can be permuted using 8-9 moves (instead of 11)
Last 8 Edges (and centers) can be permuted using 14-15 moves (instead of 18)

or if any steps can be combined
EO + Orient 2 DL corners... then Sortega
or permute L6E at the same time
etc.

Let me know if the doc's diagrams and descriptions make sense or if I could explain any parts of it in a better way.

thanks!
-= Solvador Cubi

(and thanks again to @WoowyBaby for triggering in me the inspiration to work on a method with steps like these)

I converted the text descriptions of these 8 steps into graphical PDFs at this URL: http://tinyurl.com/solvexio
Look for the files named: "EoCol8"

There is a concise 1-page version with algs and examples
and a 2-page version with more details about: Edge Orientation, Corner Separation and E-Layer Permutation

The method on these sheets keeps the alg-count low, so some steps are longer than optimal.
But I'm still consistently getting a 55 move average using the steps shown in the doc.

Again, I think that someone using more algorithms and/or more advanced techniques, could have optimized solves averaging moves in the mid-40s if...
...for example...
All 8 corners can be oriented and permuted using 17-18 moves (instead of 22)
The 4 E-layer edges can be permuted using 8-9 moves (instead of 11)
Last 8 Edges (and centers) can be permuted using 14-15 moves (instead of 18)

or if any steps can be combined
EO + Orient 2 DL corners... then Sortega
or permute L6E at the same time
etc.

Let me know if the doc's diagrams and descriptions make sense or if I could explain any parts of it in a better way.

thanks!
-= Solvador Cubi

(and thanks again to @WoowyBaby for triggering in me the inspiration to work on a method with steps like these)