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Proving UF5

I can find This thread that seems to be a tutorial and somewhere there is a video on Youtube acting as a tutorial.
The Post says 189 possible setup moves, almost all of them 4 moves or less with 5 moves being the max(which would put it at half as much setup as OP and Half as much Swapping Algs as OP).
 
A bunch of number stating my current update with learning and implementing UF5:
  1. 43453 edge algs I have gone through. I am not counting older algs or worse algs which I have discarded in this count.
  2. 32136 letter quads with a single object/image. So it is easier to memorize it compared to two letter pairs.
  3. Around 11% of the algs cannot be decomposed into commutator notation, I plan to replace them with decomposable algs soon.
  4. The number of 5-movers I know is 99, which is 1 short of 100. I hope I find that remaining case soon.
  5. I am busy with my day job of being a rocket scientist since last 3 years, so it is tough to continue cubing and 5-style ofc.

Yo!
 
I just realised that all the alg decompositions have atmost 4 setup moves.

And if there is atmost 4 setup moves, the commutator is of the form [A,B] where A and B are single move interchanges.
 
comparison.JPG

Why I have spent 1.5 years of my waking time trying to make UF5 set better?

1) Letter quads make memo waaaaay too easy with ~50% info reduction.
2) Better speed-optimal algs, mostly handpicked from CE and polling on the discord.
rotationless+regripless+home grip start is a given.
3) 3-gen and 4-gen is a priority. 5-gen+ algs are thrown away.
4) N-mover is skewed towards the left.
5) No B,L,x,y,z moves ever.
6) Simultaneous moves and cancellations given priority in alg selection.
7) Alg structure and commutator forms known and classified.
8) Transformations (even more than mirrors and inverses) to reduce the set to ~30k algs.
9) Moves saved: **10.3784** for UF5, 14.4199 for computer generated and 16.9318 for two 3-style comms
10) A mathematical pursuit rather than a speedsolving pursuit. Just checking out the algset, creating it perfectly and improving its feasibility has been a joy ride!

P.S.: I know only 6k algs with instant recall, if I have said I know more, I must have been talking about letter quads and not the algs to solve the letter quad case.
 
Screenshot_2023-11-15-16-17-10-65_a9eef3a2a561b80d5c76daebd0f9a14c.jpg
Anki decks for my Roman rooms and all the 5-style algs.

The last deck has 126k cards which is insane (biggest deck ever in Anki I think!)

Also I do not have 2000 rooms right now for old style MBLD, currently I have 310 rooms which I am familiar with.
 
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