Since the "method" I used in my example solves isn't reliable, here's some example solves but with the

BTSM method by Cary Huang.

This is basically the best way to solve 3x3 half turns only. BTSM prevents terrible cases like pure H-perm and has a extremely high skip rate, 1/6 chance triplets are skipped and 1/12 chance M-slice is skipped. This has been used to get every YTUWR there is.

Another thing that makes it great is that despite the simplicity, the movecount is extremely low, below even 20.

If you don't know about this method, you can learn from these example solves and Cary's video.

Here's basically all the algs you need for BTSM-

U2 M2 U2 M2

U2 M2 U2 x U2 M2 U2

R2 U2 R2 F2 R2 U2 R2 F2

R2 F2 R2 U2 R2 F2 R2 U2

U2 R2 U2 R2 U2

Scramble: L2 F2 D2 L2 B2 D2 R2 L2 U2 F2 L2 B2 D2 R2 F2 D2 L2 B2 R2 F2

z' y

u2 R2 u2 // Block

F2 R2 U2 F2 R2 F2 // Triplets

U2 // Sides

M2 // M-slice

11 STM

Scramble: R2 F2 L2 U2 L2 U2 B2 F2 D2 F2 R2 F2 R2 B2 R2 B2 U2 L2 R2 D2 U2

x z'

R2 U2 R2 U2 R2 // Block

x2 R2 U2 R2 F2 R2 U2 R2 // Triplets

y' U2 R2 U2 // Sides

// M-slice

15 HTM

Scramble: D2 B2 D2 U2 R2 F2 R2 U2 R2 U2 F2 D2 B2 R2 U2 R2 B2 U2 F2 D2 U2

x2

U2 R2 U2 F2 // Block

U2 x U2 R2 U2 R2 U2 x' // Triplets

U2 // Sides

r2 F2 R2 U2 R2 F2 R2 U2 // M-slice

19 HTM

Scramble: F2 R2 D2 F2 L2 R2 F2 R2 D2 R2 D2 B2 D2 U2 L2 R2 D2 B2

y2

r2 U2 F2 R2 U2 R2 // Block + Triplets

y' r2 U2 r2 U2 // Sides + M-slice

10 HTM

Scramble: L2 D2 U2 F2 L2 D2 R2 B2 R2 B2 R2 B2 F2 D2 L2 R2 B2 R2 D2 F2 D2
y z

R2 U2 F2 // Block

U2 x U2 R2 U2 R2 U2 x' // Triplets

U2 R2 // Sides

x U2 M2 U2 // M-slice

14 HTM
Average movecount: ~15 moves (computer optimal is 9.8 btw)

Average time: faster than sonic

Next Scramble: F2 L2 D2 B2 U2 F2 D2 B2 D2 B2 U2 R2 D2 L2 B2 R2 L2 U2 R2 U2