This page is building up, as now it is only a cut'n'paste from the forum guides section...
ELL algorithms:
ELL 1:
case number: (nr of moves) (cube orientations) alg
The numbering in the case descrition tells which two edges that are
being solved, nr 1 and 2. These edges initially are palced at
positions 1-8. Even edges (really only nr 2) are oriented at even
places and the other way around at odd places. Same thing goes for
the odd edge (nr 1).
The cases:
1-1 + 2-2 : (0) Solved
1-1 + 3-2 : (8) (y' x') r U' R U r' U' R' U
1-1 + 4-2 : (8) (y' x') U' R U r U' R' U r'
1-1 + 5-2 : (8) (y x') r U L' U' r' U L U'
1-1 + 6-2 : (8) (y x') U L' U' r U L U' r'
1-1 + 7-2 : (8) (y2 x') l' U L' U' l U L U'
1-1 + 8-2 : (9) (x') U2 l2 U L U' l2 U L' U
2-1 + 1-2 : (12) (x') M' U' R U M U2 M2 U R' U' M2 U2
2-1 + 3-2 : (10) r' M D2 l' U l D2 l' U' r2
2-1 + 4-2 : (10) l2 U' r' D2 r U r' D2 l' M'
2-1 + 5-2 : (10) r' M D2 l' U' l D2 l' U r2
2-1 + 6-2 : (10) l2 U r D2 r' U' r' D2 l' M'
2-1 + 7-2 : (10) r U2 l D2 l' U2 l D2 l' r'
2-1 + 8-2 : (10) r' l' D2 r U2 r' D2 r U2 l
3-1 + 1-2 : (10) r2 U l D2 l' U' l D2 r M'
3-1 + 2-2 : (8) (y x') U L' U' l' U L U' l
3-1 + 4-2 : (14) U2 r U' r' U' r' U r2 U r' U' r' U' r
3-1 + 5-2 : (10) (y x') r U L' U' r' l' U L U' l
3-1 + 6-2 : (8) (y' x') M' U' R U M U' R' U
3-1 + 7-2 : (10) (x') l' U' R U l r U' R' U r'
3-1 + 8-2 : (9) (y) Ra' u2 R U' R' u2 R U L
4-1 + 1-2 : (10) M l D2 r U' r' D2 r U l2
4-1 + 2-2 : (8) (y x') l' U L' U' l U L U'
4-1 + 3-2 : (11) (y x') U2 l2 U' L' U M2 U' L U r2 U2
4-1 + 5-2 : (8) (y x') M' U L' U' M U L U'
4-1 + 6-2 : (10) (y x') l' U L' U' l r U L U' r'
4-1 + 7-2 : (10) (y2 x') l' U' R U l r U' R' U r'
4-1 + 8-2 : (11) (x') U2 l2 U' L' U M2 U' L U r2 U2
5-1 + 1-2 : (10) r2 U' l D2 l' U l D2 r M'
5-1 + 2-2 : (8) (x') l' U L' U' l U L U'
5-1 + 3-2 : (10) (y' x') r U' R U r' l' U' R' U l
5-1 + 4-2 : (8) (y x') M' U L' U' M U L U'
5-1 + 6-2 : (14) (y2) l' U l U l U' l2 U' l U l U l' U2
5-1 + 7-2 : (10) (x') l' U L' U' l r U L U' r'
5-1 + 8-2 : (14) (y' x') L' U' r U' R U r' l' U' R' U l U L
6-1 + 1-2 : (10) l M D2 r U r' D2 r U' l2
6-1 + 2-2 : (8) (y' x') l' U' R U l U' R' U
6-1 + 3-2 : (8) (y' x') M' U' R U M U' R' U
6-1 + 4-2 : (10) (y' x') l' U' R U l r U' R' U r'
6-1 + 5-2 : (11) (y' x') U2 r2 U R U' M2 U R' U' l2 U2
6-1 + 7-2 : (10) (y2 x') l' U L' U' l r U L U' r'
6-1 + 8-2 : (11) (x) U2 l2 U' R' U M2 U' R U r2 U2
7-1 + 1-2 : (10) r l D2 l' U2 l D2 l' U2 r'
7-1 + 2-2 : (9) (x') U2 r2 U' R' U r2 U' R U'
7-1 + 3-2 : (11) (x) U2 r2 U' R' U M2 U' R U l2 U2
7-1 + 4-2 : (14) (y' x') L' U' l' U' R U l r U' R' U r' U L
7-1 + 5-2 : (11) (x) U2 r2 U L U' M2 U L' U' l2 U2
7-1 + 6-2 : (14) (y x') R U l' U L' U' l r U L U' r' U' R'
7-1 + 8-2 : (6) r2 U2 r2 Uu2 r2 u2
8-1 + 1-2 : (10) l' U2 r' D2 r U2 r' D2 r l
8-1 + 2-2 : (8) (y2 x') r U' R U r' U' R' U
8-1 + 3-2 : (10) (y2 x') r U L' U' r' l' U L U' l
8-1 + 4-2 : (10) (x') r U L' U' r' l' U L U' l
8-1 + 5-2 : (10) (y2 x') r U' R U r' l' U' R' U l
8-1 + 6-2 : (10) (x') r U' R U r' l' U' R' U l
8-1 + 7-2 : (8) (y2 x') M' U' R U M U' R' U
ELL 2:
Cases here are the same as for ELL 1 but after a y2 cube orientation
minus all cases that has got an 7 or an 8 in the number.
1-1 + 2-2 : (0) Solved
1-1 + 3-2 : (8) (y' x') r U' R U r' U' R' U
1-1 + 4-2 : (8) (y' x') U' R U r U' R' U r'
1-1 + 5-2 : (8) (y x') r U L' U' r' U L U'
1-1 + 6-2 : (8) (y x') U L' U' r U L U' r'
2-1 + 1-2 : (12) (x') M' U' R U M U2 M2 U R' U' M2 U2
2-1 + 3-2 : (10) r' M D2 l' U l D2 l' U' r2
2-1 + 4-2 : (10) l2 U' r' D2 r U r' D2 l' M'
2-1 + 5-2 : (10) r' M D2 l' U' l D2 l' U r2
2-1 + 6-2 : (10) l2 U r D2 r' U' r' D2 l' M'
3-1 + 1-2 : (10) r2 U l D2 l' U' l D2 r M'
3-1 + 2-2 : (8) (y x') U L' U' l' U L U' l
3-1 + 4-2 : (14) U2 r U' r' U' r' U r2 U r' U' r' U' r
3-1 + 5-2 : (10) (y x') r U L' U' r' l' U L U' l
3-1 + 6-2 : (8) (y' x') M' U' R U M U' R' U
4-1 + 1-2 : (10) M l D2 r U' r' D2 r U l2
4-1 + 2-2 : (8) (y x') l' U L' U' l U L U'
4-1 + 3-2 : (11) (y x') U2 l2 U' L' U M2 U' L U r2 U2
4-1 + 5-2 : (8) (y x') M' U L' U' M U L U'
4-1 + 6-2 : (10) (y x') l' U L' U' l r U L U' r'
5-1 + 1-2 : (10) r2 U' l D2 l' U l D2 r M'
5-1 + 2-2 : (8) (x') l' U L' U' l U L U'
5-1 + 3-2 : (10) (y' x') r U' R U r' l' U' R' U l
5-1 + 4-2 : (8) (y x') M' U L' U' M U L U'
5-1 + 6-2 : (14) (y2) l' U l U l U' l2 U' l U l U l' U2
6-1 + 1-2 : (10) l M D2 r U r' D2 r U' l2
6-1 + 2-2 : (8) (y' x') l' U' R U l U' R' U
6-1 + 3-2 : (8) (y' x') M' U' R U M U' R' U
6-1 + 4-2 : (10) (y' x') l' U' R U l r U' R' U r'
6-1 + 5-2 : (11) (y' x') U2 r2 U R U' M2 U R' U' l2 U2
ELL 3:
| 80px|
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| Solved
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Stop the timer!
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:)
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| OLL-parity
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F2 l2 F2 U2 l' U2 l U2 l2 F2 r' F2 r U2 l'
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Orients one dedge
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| Orientation only
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M' U M' U M' U2 M U M U M U2
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Orients opposite dedges
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| Orientation + PLL-parity
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x' U 3R' U x' (PLL-parity) x U' 3R U' x
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Swaps and orients opposite dedges
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| File:BCELL3 3412.jpg
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| O+P (both paritys)
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r U2 r' E2 F2 l' F2 l F2 r F2 r' D2 l'
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Orients one and swaps two dedges
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| These are four cases of 3-cycles solved using a commutator. The same alg is also used in step ELL 1, for example case "7-1 + 1-2".
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| Ubl solved
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r l D2 l' U2 l D2 l' U2 r'
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Cycles 3 edges
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| Ubl inverse
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r U2 l D2 l' U2 l D2 l' r'
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Cycles 3 edges
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| Ubr solved
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l' r' D2 r U2 r' D2 r U2 l
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Cycles 3 edges
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| Ubr inverse
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l' U2 r' D2 r U2 r' D2 r l
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Cycles 3 edges
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TBC...
Orient mixed:
14
23
(1:24)
r' U2 r2 U2 r U2 r' U2 r U2 r2 U2 r' (13)
Mirror:
32
41
(1:24)
l U2 l2 U2 l' U2 l U2 l' U2 l2 U2 l (13)
-----
Swap two diagonaly:
41
32
(1:24)
r S2 U2 r' U2 r U2 l' U2 l F2 r' B2 l' (14)
Mirror:
23
14
(1:24)
l' S2 U2 l U2 l' U2 r U2 r' F2 l B2 r (14)
----
Swap two opposite:
42
13
(2:24)
r2 D2 r' D2 l D2 l' D2 B2 l' B2 r' (12)
-----
Same as above + PLL-parity:
31
24
(2:24)
F2 l2 F2 l F2 l' F2 r U2 l U2 r' U2 l U2 l' (16)
-----
Total moves / cases ratio: 278 / 24 = 11,58
--------------------------------------------
--------------------------------------------
ELL-1: 524 / 56 = 9.68
ELL-2: 278 / 30 = 9.27
ELL-3: 278 / 24 = 11,58
All three ELL steps: 30,53
Whole LL:
CLL = 9,18
ELL = 30,53
[u] = 0.75
Total: 40,46
For real it is better, you can work on ELL1 while solving CLL, you can choose 1 of 4 possible ELL1's, you can work on ELL2 while solving ELL1 and work on ELL3 while doing ELL2. My true move count for LL is about 35-37.
