Compound OLL
Solving OLL with two algs in one look
Lucas Garron; March 1820, 2006 (updated August 2, 2021)
This is a technique I came up with a while ago, though I never implemented it (since I do not plan to learn OLL). It turns OLL into a 1look, 2alg process. Essentially, it breaks OLL into EOLL and COLL so that they are performed almost independently; edge orientation is done first without affecting corners. Conveniently, these cases are all a part of OLL, so this is a great stepping stone (only 9 algs!) toward full OLL that is almost as fast I'm sure that people like YuJeong Min could use it for OLL and still average sub15.
I'm actually writing this up for speed BLD, since compound OLL is quite useful there; thus, I discuss application to speed BLD throughout this page.
 EOLL commutators
 COLL algs
Sunes
Commutators
 Synthesis Example
Page
Example 1: My first speed BLD
Example 2: My fast speed BLD
Example 3: A familiar OLL
Example 4: Another example
 My speed BLD pages (employing compound OLL)
These are three nice fingertrick commutators using U, M, R, and r. They do not affect corners, of course, to allow OLL prediction.
This is one of the ECs.  The commutator: M F R' F' M' F R F'  Finger Trick Version: R U R' U' r R' U R U' r' =R U R' U' M' U R U' r' 

 
It opposite/conjugate/inverse.  The commutator: F R' F' M F R F' M'  Finger Trick Version: r U R' U' r' R U R U' R' =r U R' U' M U R U' R' 

 
The 4flip; Vandenbergh's reflected. Don't forget the initial U.  U M' U' R' U' R U M2' U' R' U r  

Since EOLL does not affect corners, they will be in the same position, and you should be able to go right on to one of these after EOLL. They don't do confusing stuff to LL, so they're nice for speed BLD.
These have the same naming scheme as my BLD CO system (actually, even regular COLL for me).
Sunes These all have a couple of features in common. Be prepared to use these from any angle, and reflected. They affect corners almost trivially; for edges I just remember which one doesn't move and check one of the other three for cycle order.  
Good ol' regular Sune.  Sune: R U R' U R U2 R'  
 
Be prepared to use an inverse Sune/antiSune.  AntiSune: R U2 R' U' R U' R'  
 
Niklas: Alternate to the Sune, good to know for speed BLD  Niklas: R U' L' U R' U' L (U)  
 
Double Sune and Double antiSune. Same OLL, slightly different effects. Speed BLD info: Orients, but does not permute corners, cycles back edges.  Double Sune: R U R' U R U' R' U R U2 R'  Double antiSune: R U2 R' U' R U R' U' R U' R' 

 
This one's weird. It's remniscent of the Sunes, sort of an antiSune+Sune stitched together, so I'm sticking it here.  Pi: R U2' R2' U' R2 U' R2' U2' R  
 
Triple Sune (is the same as triple inverseSune)  Triple Sune: R U R' U R U' R' U R U' R' U R U2 R'  

Commutators These will (charcteristically of commutators) have a backandforth style and only affect corners. Be careful about commmutation order on these for speed BLD.  
This is an alternative to the triple Sune. It's slightly faster and easier to execute correctly (it's possible to get lost on the U's and R's of a triple Sune). It can also lead to easier PLL.  B' R B L' B' R' B L  
 
Straightforward commutator.  Chameleon: R B R' F R B' R' F' (or F' L' B L F L' B' L)  
 
Another straightforward commutator. Use the variant R2 D' L F2' L' D R U2' R at your own risk.  Headlights: R2' D R' U2 R D' R' U2 R'  
