Put both algs in alg.garron.us or any other simulator and play them one move at a time, side by side.

Even better IMO

WOW. Ok I have to admit that this is pretty cool. It

*IS* actually mirroring for the core edge perm stuff. I should have spotted this earlier. You did good with this video. Even though the 3x3x3 moves change the ending position. This is quite amazing. I set out to create my alg by first discovering an 8-cycle of edges->[4 Mslice dedges] for the core alg, using SINGLE slice moves only. That 8-cycle idea (along with some others that relate to this)was spawned (by myself) earlier in the thread, and since it wasn't being pursued by anybody else - I decided to find something that could do this myself. I then experimented on making that (I actually had more than one) M-slice 4-cycle of dedges into a useable (OLL) using wide turns instead of single slices. I had a lot of flexibility here, since my original idea was OK with LL and F2L slot change. As it turned out, the best solution was also the cleanest. Finally I worked on transforms for speed and simplicity (whereas cmowla was probably more concerned with BQTM). So I not only started out with a completely different idea, I was also heading for the DBL parity position where the URF-UFL corners are swapped. Whereas cmowla's alg started out (I believed)instead to make a 4-cycle of edges->[2 dedges], and not only that he was trying to get a different DBL parity position "flipping" one and swapping dedges UF<->UB. I don't think his alg actually achieved what he was trying to get originally, and maybe that is why he called it "weird". Note the dedge commutation at the end. Probably wasn't looking to fix with 2s2 since he had something else in mind. Yet, it is mind-boggling to me, to see that both these algs end up dancing to the same tune so to speak, on their way to different weddings.

r U2 r' F2 l' B2 l B2 l' D2 l D2 l' F2 U2
reParity™ -

r U2 l' U2 x' r' U2 l U2 r' U2 l U2 l' U2 y' 2m2 y'
OK, that being said, the actual turns of the core alg are really not

*IDENTICAL*, and how those different turns would be executed is going to be different too, and the ending 3x3x3turns are not the same either, which gives a different position for the resulting (PLL/OLL). Not cloned. It is rather ironic, that if cmowla would have put more emphasis on finding an alg that was easier to use, instead of just getting a really good result in fewest BQTM - he might have actually refined his alg down to the EXACT same alg that I eventually came up with. Yep. He was really close.

EDIT: Does anybody care to know what the expected likelyhood of this symmetry popping up is, with ANY two parity algs within <r,l,U2,B2,D2,F2>? After looking at this for awhile, I am seeing that this symmetry might not be that unusual for these types of parity algs. Really there aren't THAT many ways to logically put those turns together and still get a useful alg. Anybody care to take a stab at the math and logic behind this conundrum?