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The 'combined' moves of M, E, and S need to be implemented.

These moves are all equivalent to a cube rotation and two turns from the outer block turn metric.

More generally: for any base combined turn (c), there is an associated rotation, matching face turn and mirrored face turn (w,a,b)

Reduction example: 'U permutation' of U layer

With combined moves:

M2 U M U2 M' U M2

Substitution with OBTM+rotations:

x2 R2 L2 U x' R L' U2 x R' L U x2 R2 L2

Reduces to:

x2 R2 L2 U x' R L' U2 x R' L U R2 L2

x2 R2 L2 U x' R L' U2 R' L F R2 L2

x2 R2 L2 U R L' B2 R' L U R2 L2

R2 L2 D R L' F2 R' L D R2 L2