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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.

A grip bar asks a different question of the same solves: how many were done one-handed. One hand rewards regrip-light, rotationless algorithms, so a fat pink slice means the algorithm suits one hand better than the two-handed mainstream picks it. Its header switches the whole table between both grips, two-handed only and one-handed only.

  • One-handed
  • Two-handed baseline

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)
COLL 77%
COLL 23%
All 778 algs
O Diagonal 1/162
COLL 100%
All 410 algs
H
H Columns 1/81
COLL 67%
U COLL 33%
All 190 algs
H Rows 1/81
COLL 60%
COLL 40%
All 228 algs
H Column 2/81
U 67%
U COLL 22%
11%
All 285 algs
H Row 2/81
U' COLL 83%
U2 17%
All 258 algs
Pi
82%
COLL 4★
All 271 algs
U COLL 100%
All 200 algs
Pi X 2/81
U' 77%
U COLL 15%
All 230 algs
78%
22%
COLL 2★
All 198 algs
U' 71%
U' 14%
COLL 14%
All 224 algs
U' 50%
40%
U2 10%
U' COLL 2★
All 246 algs
U
U2 COLL 100%
All 251 algs
COLL 70%
30%
All 264 algs
COLL 100%
All 228 algs
U Rows 2/81
U' 100%
U' COLL 3★
All 399 algs
U X 2/81
COLL 64%
All 265 algs
U' 91%
U' COLL 3★
All 425 algs
T
U' 100%
COLL 0★
All 309 algs
U 44%
U' 33%
U' 22%
U2 COLL 4★
All 311 algs
T Rows 2/81
COLL 75%
25%
All 241 algs
86%
COLL 14%
All 290 algs
T Top Row 2/81
57%
U2 COLL 29%
All 286 algs
T Columns 2/81
U2 40%
COLL 20%
U 20%
All 307 algs
L
L Best 2/81
U2 92%
COLL 2★
All 258 algs
L Good 2/81
U2 100%
U' COLL 0★
All 259 algs
L Pure 2/81
COLL 60%
COLL 30%
U' COLL 10%
All 212 algs
U2 COLL 100%
All 196 algs
U2 100%
COLL 1★
All 261 algs
U COLL 94%
All 230 algs
Sune
U COLL 100%
All 283 algs
Sune X 2/81
U 86%
U' 14%
U' COLL 0★
All 186 algs
U 100%
COLL
All 192 algs
U 70%
U' COLL 20%
COLL 10%
All 198 algs
U' 71%
U' COLL 14%
U COLL 14%
All 201 algs
U COLL 82%
U 18%
All 202 algs
Anti-Sune
U2 COLL 52%
U COLL 43%
All 299 algs
U' COLL 38%
U2 COLL 38%
25%
All 196 algs
U2 50%
U2 50%
U' COLL 0★
All 176 algs
U' 92%
U' COLL 3★
All 177 algs
U' COLL 50%
U' 33%
U COLL 17%
All 194 algs
50%
U 25%
U' COLL 25%
All 194 algs