Not alternative algs, but commutators that are very useful and make the handling of Q-targets very efficient.
QV: [D', r U2 r']
QX: [D, r U2 r']
QM: [l' D2 l, U']
QE: [l' D2 l, U]
You can set up all pairs of Q and R/L layer targets to one of these cases, e.g. QJ is an R' setup to QV. I also...