<r2,U>

R2 U' R2 U' R U' R' U' R2 U' R U' R2 U2 R2 U2 R' U' R' U R' U2 R U2 R

:p

I got 17.39, but my solve before was over 4 minutes...

EDIT:

"Consistency" :3

Average of 5: 55.30
1. (4:16.84) R' U R2 U R U R' U2 R2 U R2 U R U2 R U2 R' U R2 U R' U R2 U' R2
2. (17.39) R2 U' R2 U' R U' R' U' R2 U' R U' R2 U2 R2 U2 R' U' R' U R' U2 R U2 R
3. 38.20 U R' U2 R2 U R2 U' R2 U' R U' R U' R' U2 R2 U R2 U R2 U' R' U' R2 U
4. 58.60 U' R U' R U R2 U2 R2 U R U2 R2 U2 R2 U R U R' U' R2 U R2 U' R2 U2
5. 1:09.10 R' U' R2 U R2 U' R U2 R2 U2 R U2 R' U R' U R U R U R U2 R2 U2 R

current avg5: 55.30 (σ = 12.83)
 
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you could always learn r2Ur2U'r2U'r2U'r2Ur2U2r2U'r2U2 for U perm. I think someone would have to bust out ksolve if they wanted to take this much further

also L5E is like 60 algs, you'd need crazy dedication to learn it :P
 
1. 11.60 R' U2 R2 U2 R' U R U R2 U2 R2 U2 R' U' R U R U' R U2 R2 U' R2 U R'

My method:

1. Separation (intuitive plus some "algs" that are pretty much intuitive anyway)
2. PCBL (Permute corners of both layers, only 1 possibility apart from solved: r2 U2 r2 U' r2 U2 r2 U r2 U' r2 U r2 U' r2 U' r2 U r2 (U') to do a Y perm on top and a Jb on bottom.)
3. Edges ([r2 U2]*6, [r2 U2]*5 r2 U [r2 U2]*5 r2 U', and Thom's U perm with r2 U2 setup for bottom layer edges.)

Could have been faster (17.58), messed up separation. I'm only posting this because I forced an edges skip :p
 
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"L5E is like 60 algs, you'd need crazy dedication to learn it :P"
No, just 60 raw cases. You can adjust U. Same way you need only 4 algs for edge PLL, not 12. I think I'd have to learn 13 more algs.

Ok, tried KSolve now (attached).

Shortest 3-cycle I found so far (and it's easy): (r U' r U' r U r U)2
Your U perm seems to be optimal.
H perm: (r U')6 (U' r)6 = (r U')5 r U2 (r U')5 r
Z perm: r U' r U2 r U2 r U r U r U' r U2 r U2 r U' r U' r U2 r

Hate that Z perm. Might be better to not let it search with single turns but with finger-friendly turn sequences. Well, U' and r2 are always ok, but U/U2 not so much.
 

Attachments

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Method is yours. Amount of practice is maybe... an hour? an hour and a half? About as long as it takes to do 100 solves (so far).

I'll post my avg5/12/100 as soon as I stop doing solves... avg100 is around 15.5 so far and going down (due to improvement since I started).


EDIT: :tu
number of times: 159/160
best time: 3.09
scramble: U' R' U R U2 R' U R2 U2 R' U2 R2 U2 R2 U R' U' R' U' R U R2 U2 R U'

block: r2 U' r2 U r2 U' r2
L5E: U' :O
best avg5: 9.53 (σ = 1.38)
1. 7.97 R' U R' U R U2 R2 U' R U' R2 U' R' U R' U2 R2 U R U2 R U2 R' U2 R'
2. (12.36) R' U' R' U' R2 U' R U R' U' R2 U2 R' U R2 U R' U' R' U R U' R2 U2 R2
3. 11.32 U2 R2 U' R2 U R U R2 U R U2 R2 U R' U' R U R2 U2 R' U' R U' R U
4. 9.30 U' R' U' R' U' R2 U R U R2 U' R' U R U R U2 R U' R2 U' R2 U' R2 U
5. (7.55) R U R2 U' R U' R2 U R2 U R2 U2 R U' R' U R2 U' R2 U' R U R U R
best avg12: 11.40 (σ = 2.64)
1. 13.35 U R2 U R U' R U2 R2 U2 R U2 R2 U2 R2 U2 R' U' R' U' R' U' R' U' R2 U'
2. 9.69 R2 U' R2 U' R2 U' R2 U R2 U' R' U R U' R2 U' R' U R2 U R2 U R2 U R2
3. (3.09) U' R' U R U2 R' U R2 U2 R' U2 R2 U2 R2 U R' U' R' U' R U R2 U2 R U'
4. 13.21 U' R U R' U R2 U2 R2 U R2 U2 R2 U2 R2 U R' U2 R2 U' R' U R2 U2 R2 U
5. (16.55) R2 U' R2 U' R' U2 R' U' R U2 R' U' R' U' R2 U2 R2 U' R2 U' R2 U' R' U' R2
6. 12.75 R U' R U R U R U R2 U R2 U2 R U' R U2 R' U R' U' R2 U2 R U2 R2
7. 16.50 U2 R' U2 R2 U R2 U2 R U2 R U R U' R U R U R U2 R' U2 R' U2 R U
8. 7.97 R' U R' U R U2 R2 U' R U' R2 U' R' U R' U2 R2 U R U2 R U2 R' U2 R'
9. 12.36 R' U' R' U' R2 U' R U R' U' R2 U2 R' U R2 U R' U' R' U R U' R2 U2 R2
10. 11.32 U2 R2 U' R2 U R U R2 U R U2 R2 U R' U' R U R2 U2 R' U' R U' R U
11. 9.30 U' R' U' R' U' R2 U R U R2 U' R' U R U R U2 R U' R2 U' R2 U' R2 U
12. 7.55 R U R2 U' R U' R2 U R2 U R2 U2 R U' R' U R2 U' R2 U' R U R U R
best avg100: 13.27 (σ = 3.48)
session avg: 15.30 (σ = 6.69)
1:02.70, 21.75, 28.54, 23.76, 13.83, 15.24, 8.63, 21.07, 20.51, 13.78, (DNF(20.51)), 11.01, 9.83, 29.82, 11.45, 12.94, 18.20, 17.22, 15.28, 23.37, 20.23, 16.80, 20.44, 20.41, 14.78, 11.38, 8.59, 5.92, 13.68, 41.21, 18.09, 15.06+, 22.75, 24.22, 19.12, 30.32, 31.67, 20.89, 13.55, 20.27, 12.98, 11.37+, 14.14, 14.25, 10.88, 13.15, 22.35, 27.27, 25.66, 11.90, 6.44, 13.30, 11.30, 17.42, 18.56, 19.42, 14.09, 16.33, 15.03, 11.84, 14.81, 10.66, 21.12, 12.08, 12.46, 6.45, 8.46, 13.57, 13.85, 6.67, 11.29, 13.34, 12.16, 12.62, 13.75, 11.26, 13.83, 10.72, 18.49, 15.65, 20.48, 9.79, 15.68, 15.74, 12.70, 14.69, 11.61, 13.38, 8.88, 8.20, 16.41, 10.20, 19.28, 14.77, 19.34, 14.24, 15.96, 13.35, 9.69, (3.09), 13.21, 16.55, 12.75, 16.50, 7.97, 12.36, 11.32, 9.30, 7.55, 17.60, 17.51, 21.47, 9.89, 14.93, 12.34, 10.29, 9.24, 9.84, 10.75, 9.17, 34.19, 21.16, 9.86, 12.88, 9.51, 11.86, 7.57, 10.38, 18.94, 15.31, 13.66, 12.31, 13.02, 8.18, 18.29, 15.41, 14.50, 16.40, 11.13, 13.30, 10.40, 22.27, 13.26, 16.69, 14.21, 12.90, 14.04, 12.22, 10.40, 11.65, 13.14, 13.07, 12.53, 10.45, 19.63, 15.10, 17.49, 13.74, 13.34, 18.78
 
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26.08 U R' U R' U2 R' U2 R2 U R' U R' U' R' U R U' R' U2 R' U R' U2 R U'

Basically i build the R side 1x2x3, then i attach DF to the L/R blocks. so that its F2L minus one cross piece and one corner piece (always DB and DBR)
then i use: r2 U r2 U r2 U' r2 and its inverse to pair the two and insert them.
After words i use: r2 U r2 U r2 U' r2 to do a bunch of UPerms
 
Ok Michael, I give up, you win :D

My best averages now:
best avg5: 11.74 (σ = 1.45)
best avg12: 13.06 (σ = 1.82)
best avg100: 15.95 (σ = 4.15)
 
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number of times: 12/12
best time: 17.80
worst time: 46.24

current avg5: 24.91 (σ = 3.21)
best avg5: 24.91 (σ = 3.21)

current avg12: 30.08 (σ = 6.29)
best avg12: 30.08 (σ = 6.29)

session avg: 30.08 (σ = 6.29)
session mean: 30.41
 
best time: 3.64
best avg5: 9.68 (σ = 1.85)
best avg12: 11.75 (σ = 2.76)
best avg100: 13.40 (σ = 3.51)
The 3.64 scramble and solution:
Scramble: r2 U r2 U' r2 U r2 U' r2 U2 r2 U' r2 U' r2 U r2 U r2 U' r2 U' r2 U r2
Solution: r2 U r2 U' r2 U r2 U' r2 U

Average of 5: 9.68
1. (6.99) U2 R2 U' R' U R' U' R U2 R' U R2 U' R' U' R2 U' R' U R2 U' R' U' R' U
2. 10.67 R2 U R' U2 R U2 R U R' U2 R U2 R2 U R2 U' R U2 R U2 R2 U R U R
3. (15.83) R U R2 U2 R U' R U2 R' U R' U2 R2 U R U R2 U R2 U R' U R' U R
4. 11.28 U2 R U2 R' U R U2 R2 U2 R2 U' R' U R2 U R U R' U' R' U R2 U R U'
5. 7.09 U2 R U R2 U' R U' R' U' R U R' U' R2 U R' U2 R' U2 R' U R2 U' R U2

Average of 12: 11.75
1. 6.99 U2 R2 U' R' U R' U' R U2 R' U R2 U' R' U' R2 U' R' U R2 U' R' U' R' U
2. 10.67 R2 U R' U2 R U2 R U R' U2 R U2 R2 U R2 U' R U2 R U2 R2 U R U R
3. 15.83 R U R2 U2 R U' R U2 R' U R' U2 R2 U R U R2 U R2 U R' U R' U R
4. 11.28 U2 R U2 R' U R U2 R2 U2 R2 U' R' U R2 U R U R' U' R' U R2 U R U'
5. 7.09 U2 R U R2 U' R U' R' U' R U R' U' R2 U R' U2 R' U2 R' U R2 U' R U2
6. (17.23) R' U R U' R U2 R2 U' R' U R2 U' R' U2 R' U' R2 U2 R' U R' U R2 U R'
7. 11.40 R' U' R2 U2 R' U2 R2 U' R U R' U' R U2 R' U2 R2 U R2 U2 R2 U R U2 R'
8. 12.99 U' R U R U' R' U2 R2 U2 R U R U2 R' U2 R U2 R' U' R2 U' R U R' U
9. 13.83 R' U R2 U2 R2 U' R' U2 R2 U' R' U R' U' R2 U2 R2 U' R' U2 R U' R2 U' R'
10. 13.65 U' R' U' R2 U R2 U' R' U2 R U R U' R U R2 U2 R2 U R2 U2 R' U' R2 U
11. 13.81 R U R U' R U2 R2 U2 R2 U2 R2 U' R' U' R2 U2 R2 U R U2 R U' R2 U' R
12. (6.42) U' R2 U R U2 R' U2 R' U2 R U' R U R U R U R U R U R2 U2 R2 U'

best avg100: 13.40 (σ = 3.51)
8.54, 12.81, 12.38, 12.32, 23.95, 13.75, 3.64, 13.96, 9.47, 12.05, 12.12, 12.20, 22.06+, 11.42, 18.67, 11.60, 13.31, 10.52, 17.09, 14.75, 13.37, 10.47, 11.77, 13.69, 16.13, 14.57, 10.76, 12.92, 9.43, 12.81, 15.46, 13.30, 14.23, 11.70, 8.75, 11.60, 10.03, 17.27, 15.13, 14.23, 12.81, 16.17, 8.96, 13.50, 10.06, 9.82, 17.43, 12.42, 18.55, 17.35, 14.28, 14.32, 15.09, 13.34, 25.77, 13.34, 13.45, 19.00, 12.84, 5.51, 7.82, 12.78, 13.85, 13.62, 20.00, 10.18, 16.20, 11.04, 14.66, 20.48, 23.64, 14.58, 10.97, 11.88, 15.83, 11.02, 13.59, 15.84, 13.64, 7.88, 12.52, 20.70, 15.82, 6.99, 10.67, 15.83, 11.28, 7.09, 17.23, 11.40, 12.99, 13.83, 13.65, 13.81, 6.42, 9.42, 13.62, 18.22, 14.51, 8.77
Didn't learn any new algs besides that H perm, probably mostly improved in my step 1 (which I still find interesting and it's what made me try again). Michael's still better in everything, gah. So close (0.59, 0.15, 0.35 and 0.13 seconds away).
 
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FYI, the worst case is 30 moves:
U r2 U r2 U r2 U r2 U r2 U2 r2 U' r2 U r2 U' r2 U2 r2 U r2 U r2 U r2 U r2 U r2.
 
Ugh, that case just looks ugly. Solved it in 42 moves, though, not too bad. Wish I could solve the hardest 3x3x3 cases in 28 moves so easily (same factor, 1.4).

But hey, when I saw your name I thought "oh sh**, Johannes is gonna beat us all". I still have big trouble with the first block(s), could imagine you being better at that.
 
Shortest 3-cycle I found so far (and it's easy): (r U' r U' r U r U)2
Your U perm seems to be optimal.
Z perm: r U' r U2 r U2 r U r U r U' r U2 r U2 r U' r U' r U2 r

Hate that Z perm. Might be better to not let it search with single turns but with finger-friendly turn sequences. Well, U' and r2 are always ok, but U/U2 not so much.[/spoiler]

wouldnt 2 u perms be shorter? and perhaps more finger trickable?
 
Shortish similar 3-cycles:
(DF -> UL -> UB): r2 U' r2 U' r2 U r2 U r2 U' r2 U' r2 U r2 (U)
(DF -> UR -> UL): r2 U' r2 U' r2 U r2 U2 r2 U' r2 U2 r2 U r2 (U')
(DF -> UF -> UB): r2 U' r2 U2 r2 U r2 U2 r2 U' r2 U r2 U r2 (U)
(UF -> UR -> UB): r2 U' r2 U2 r2 U r2 U' r2 U' r2 U' r2 U r2 (U2)
(DF -> UL -> UF): r2 U' r2 U r2 U r2 U' r2 U' r2 U r2 U r2 (U')
(UF -> UL -> UB): r2 U' r2 U r2 U r2 U r2 U' r2 U2 r2 U r2 (U2)
 
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