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I'm not entirely sure if this algorithm exists, but I managed to come up with it when is was messing round on my cube. its mostly intuitive, although I don't use it because it't quite hard to execute easily. this is it: R2 S2 R2 U' R2 S2 R2 U.
please tell me if it already exists or not.

Essentially just the standard alg F U' R2 D R' U2 R D' R2 U F' modified to be 3-gen because those D moves are annoying on big cubes. You could use this on 6×6×6 too, but I don't know whether it's better than the standard alg (or just doing another OLL(CP) alg altogether, or doing fruruf into pi 2GLL).

Essentially just the standard alg F U' R2 D R' U2 R D' R2 U F' modified to be 3-gen because those D moves are annoying on big cubes. You could use this on 6×6×6 too, but I don't know whether it's better than the standard alg (or just doing another OLL(CP) alg altogether, or doing fruruf into pi 2GLL).

I discovered this Nb-perm a couple months ago. Be sure to let me know if you like it, if I unknowingly stole it, etc. I find it works well, and my first sub-10 had this N-perm. The transition from R-U-F to R-U-D is actually quite seamless for me, just make sure you do the D/D' moves with your left hand.