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CMLL Algorithms

Every algorithm for all 42 Roux corner cases, ranked by how often top solvers actually use them.

What makes this database different

Pro usage counts how many reconstructed Roux solves used an algorithm for their CMLL step. Alongside it sits each algorithm's community vote count from SpeedCubeDB, so you can see where the crowd and the pros disagree.

Alg lists repeat themselves: the same turns show up reordered, behind a different alignment, or just spelled a different way - a slice M written as r'R , a wide l written as x'R . Those all move the cube through exactly the same states, so we fold them into one row and add up their votes.

Mirrors are the exception: a left-handed version keeps its own row, because doing an algorithm on the other side is a genuinely different thing to learn.

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Grouping gives an algorithm a shape you can picture instead of a string you have to spell, and it exposes the family resemblances: algorithms built from the same trigger carry the same colour, so the one you already know gives you a head start on the next. The Rightie RUR'U' gets one colour, the sledgehammer R'FRF' another. Hover any box for its name.

U RUR'URU2R'
One trigger, whole: the Sune, not seven loose turns.
U' RUR'U' R'FRF'
Two triggers back to back: a Rightie, then a shove.
U2 FRU'R'U'RUR'F'
A long conjugate: set up with F, work, undo - shaded deepest where it was heading.

Cubers have always marked triggers by hand, in parentheses: F (R U R' U') (R U R' U') F'. The boxes are that convention drawn instead of typed, and they are worked out from the moves themselves rather than stored per algorithm - so every algorithm in the database has them, including the ones nobody ever bracketed.

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CMLL Overview

most-used algorithms for every case

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O (oriented)
40%
32%
16%
All 32 algs
40%
40%
20%
All 38 algs
H
U 53%
47%
All 14 algs
82%
18%
All 10 algs
U 58%
U 29%
All 18 algs
U 53%
U 20%
13%
All 15 algs
Pi
U' 53%
42%
All 11 algs
U' 53%
U' 37%
All 19 algs
85%
15%
All 9 algs
31%
U' 31%
U' 19%
All 16 algs
44%
U' 37%
U 19%
All 18 algs
U
U2 59%
41%
All 10 algs
52%
29%
19%
All 14 algs
82%
All 21 algs
45%
U' 35%
U2 15%
All 17 algs
U X
U2 64%
U2 23%
All 18 algs
83%
U2 15%
All 16 algs
T
U2 36%
U2 36%
All 17 algs
85%
15%
All 14 algs
47%
24%
24%
All 11 algs
U2 71%
26%
All 15 algs
U2 59%
U2 18%
12%
All 25 algs
L
U' 97%
All 9 algs
81%
15%
All 6 algs
42%
42%
U' 17%
All 18 algs
U 56%
44%
All 19 algs
U2 53%
47%
All 10 algs
57%
U2 38%
All 15 algs
Sune
U2 33%
27%
20%
All 12 algs
67%
U2 20%
All 16 algs
50%
38%
12%
All 4 algs
Anti-Sune
U 59%
34%
All 7 algs
U2 44%
U 17%
17%
All 17 algs
U' 54%
38%
All 12 algs
39%
28%
28%
All 5 algs
U' 48%
29%
All 8 algs