4x4 OLL
With 3 oriented edges, often there is a trick that is faster than doing OLL Parity + regular OLL. But even for cases where there is no easy trick, it's important to predict the OLL after parity to reduce a pause.
OLL Parity Algorithm: [*] = Rw U2 x Rw U2 Rw U2 Rw' U2 Lw U2 Rw' U2 Rw U2 Rw' U2 Rw'
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H (FB)
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0 Corners
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[*] R2 D' R U2 R' D R U2 R
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H (LR)
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0 Corners
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[*] R U R' U R U' R' U R U2 R'
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Pi (B)
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0 Corners
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[*] U' 3Rw U R' U' 3Rw' F R F'
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Pi (F)
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0 Corners
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[*] U' R U2 R2 U' R2 U' R2 U2 R
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Pi (L)
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0 Corners
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[*] R' U2 R U R' U R
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Pi (R)
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0 Corners
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[*] U R' U' R U' R' U2 R
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Antisune (BL)
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1 Corner
Algorithm

R' F R F' [*] R U' R'
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Antisune (BR)
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1 Corner
Algorithm

F R U R' U' F' [*]
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Antisune (FL)
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1 Corner
Algorithm

[*] R U2 R2 U' R2 U' R2 U2 R
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Antisune (FR)
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1 Corner
Algorithm

[*] U' R U2 R' U' R U' R'
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Sune (BL)
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1 Corner
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F' L' U' L U F [*]
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Sune (BR)
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1 Corner
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L F' L' F [*] L' U L
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Sune (FL)
Group

1 Corner
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[*] R U R' U R U2 R'
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Sune (FR)
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1 Corner
Algorithm

M' U R U' 3Rw' [*] U R U2 R'
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L (BL)
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2 Corners
Algorithm

[*] R' U' R U' R' U2 R
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L (BR)
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2 Corners
Algorithm

[*] U R' U2 R U R' U R
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L (FL)
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2 Corners
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L U L' [*] L U' L'
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L (FR)
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2 Corners
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R' U' R [*] R' U R
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T (B)
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2 Corners
Algorithm

[*] U R U2 R2 U' R2 U' R2 U2 R
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T (F)
Group

2 Corners
Algorithm

R U R' U' R [*] R' U R U' R'
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T (L)
Group

2 Corners
Algorithm

F R U' R' U' R U R' F' [*]
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T (R)
Group

2 Corners
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[*] R U R' U' R' F R F'
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U (B)
Group

2 Corners
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M [*] M'
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U (F)
Group

2 Corners
Algorithm

[*]
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U (L)
Group

2 Corners
Algorithm

[*] R U2 R' U' R U' R'
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U (R)
Group

2 Corners
Algorithm

[*] U' R U R' U R U2 R'
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Solved
Group

4 Corners
Algorithm

R U2 R' U' [*] F R' F' R
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