R' F' D'                 // Cross-1 on D-B (3/3)
L F' L' (F')             // 2x2x3-1c on DF-L (3/6)
([D2 F2 R': U'])         // corner on DFL + edge on DB + sq on U (7/13)
(B' U' B' L' B' L B' U') // direct finish (8/22)

(F D L' F U2)              // 2x2x2 on UBR (5/5)
(B' L' R U' R' B D')       // 2x2x3 on BR + EO on UD-axis (7/12)
(F L2 @ F2 L2 F' L' F2 L') // F2L on B, leaving 3c on F (8/20)
@ = [L2, F R F']           // insert 3c comm (8-4/24)

(L' D')      // EO on UD-axis + 1p (2/2)
(B R B U2 B) // 2x2x2 on UBL (5/7)
(D2 F2) D2   // F2L-1p on L-DB (2+1/10)
R B R2 B' R2 // all edges, leaving 5c (5/15)

skel: D2 R B R2 B' R2 F2 D2 B' U2 B' R' B' @ # D L
@ = [B R B',  L] // insert 3c comm (8-5/18)
# = [L, B' R' B] // insert 3c comm (8-3/23)

(L2 B F2 R D B L)   // 2x2x3 on UB (7/7)
D' F2 D2 F' D2      // F2L-1p on B-DL (5/12)
[F2 L': U' F2 U F'] // direct finish (8/20)

(R U R U2 L2 B') // sq on R + sq on U (6/6)
(R U)            // 2x2x3 on BR (2/8)
D L F2 L' D'     // 4p (5/13)
D' L2 D          // pair on DFr, giving F2L-1p on R-UF (3-1/15)
L @ U' F U F' L2 // F2L on D instad, leaving 3c on U (6/21)
@ = [L' D' L, U] // insert 3c comm (8-6/23)

U' R' D' B L2         // 2x2x2 on DFL (5/5)
R U R2 B' R           // 2x2x3 on DF (5/10)
B' L U L'             // F2L-1c on D-BR (4/14)
L' U' L F R U R' F' U // all but 3c using wrong OLL (9-1/22)
[U', F D' F']         // 3c comm (8-4/26)

F D' F' D2         // 2x2x2 on DBR (4/4)
L B2 R' D2 F'      // EO on RB-axis (5/9)
D' R B2            // 2x2x3 on DR + sq on L (8/12)
L U L @ U' L' U' L // all but 3c on U (7/19)
@ = [L D L', U2]   // insert 3c comm (8-2/25)

R' F' R F' U2       // 2x2x2 on UFL (5/5)
(B' D' R2 B D' R)   // 2x2x3 on UF + EO on LR-axis (6/11)
(B' D B2 D B2 D B2) // all but 3c on B using 2-gen (7/18)

skel: R' F' R F' U2 B2 D' B2 D' B2 D' B R' D B' R2 D B @
@ = [B', L F2 L']   // insert 3c comm (8-2/24)

D R2 L' D' L2 D'   // 2x2x2 on DBL (6/6)
(R F2 R F' R2 F2)  // 2x2x3 on DL + sq on R + EO on FB-axis (6/12)
(U' R U' R' U2 R2) // all edges, leaving 2c2c+1tc (6/18)

skel: D R2 L' D' L2 D' R2 U2 $ R U R' % U F2 R2 F R' F2 @ R'
$ = U2 R2 D L2 D U2 L2 D R2 D // insert domino 3c alg (10-10/18)
% = [R U' R', D']             // insert 3c comm (8-9/17)
@ = [F2, U B U']              // insert 3c comm (8-2/23)

(B' D' R)     // EO on LR-axis + 2p (3/3)
(D L2 U B2 D) // X-Cross on D\BL + slice on S (5/8)
(D' F2 D)     // 2x2x3 on DL instead (3-2/9)
(U' B' R2 B)  // edge on DR (4/13)
(B U B')      // 3rd pair on BRd (3-1/15)
(F D') D'     // 1p + shift (2+1/18)
(L2) L2       // shift (1+1/20)
(U' B' U' B)  // direct finish (4/24)

rewrite: D' { L2 B' U B U L2 D F' B U' B2 R2 B U D' } F2 B2 U' L2 D' R' D B
} = S2 // insert slice (2-5/21)
{ = S2 // insert slice (2-0/23)

R' D2 L         // EO on LR-axis + sq on Fdr (3/3)
(B U' F2 D2 F2) // 2x2x3 on DR (5/8)
U' F' L2 F      // F2L-1c on D-FL (4/12)
U'              // 2c on UFL+UFR (1/13)
[U R U', L2]    // 3c comm, leaving U-Perm on U (8-2/19)

skel: R' D2 L U' F' L2 F R U' L2 U R' U' L2 F2 D2 F2 U @ B'
@ = U' L2 F2 R2 D' R2 F2 L2 // insert 3e alg (8-2/25)

F' B2 U' B           // EO on FB-axis (4/4)
(U2 D L')            // pseudo 2x2x2 on UFL (3/7)
(R F)                // 2p on D (2/9)
(B2 D2 F' D B2 @ F2) // F2L-1c on R-DB (6/15)
([D: L2 F L2 F'])    // all but 3c (6/21)
@ = [B2, D' F D]     // insert 3c comm (8-7/22)

B' R F' D2 B'   // EO on FB-axis (5/5)
U2 R2           // 2x2x2 on DBR (2/7)
(U' R U R')     // pair on FRd (4/11)
(B2 R' F2 R B2) // pseudo F2L on R (5/16)
(L2 U')         // F2L on B, leaving 3c on F (2/18)
([U, L D L'])   // 3c comm (8-3/23)

(F U' D2 L' U2)    // 2x2x2 on UBR (5/5)
(F' L2 D F' L2)    // 2x2x3 on UB (5/10)
//(F' D' F D2)     // F2L-1p on B-DR, nvm
(F2 D' @ F2 D2 F2) // all corners, leaving 5e (5/15)
@ = [M', F']       // insert 5e comm (6-1/20)  

rewrite: F2 D2 F L R' D R L' $ D F2 L2 F D' L2 F U2 L D2 U F'
$ = [M', D F2 D']  // insert 3e comm (10-8/22)

final: F2 D2 F L R' { D B D2 B' } R L' D L2 F D' L2 F U2 L D2 U F'
                   // hoped for M-slice reduction here

(R' B L2 F L2)       // 2x2x2 on DBL (5/5)
(U F U F2 @ U)       // 2x2x3 on BL (5/10)
(U F2 $ U')          // EO on UD-axis (3-1/12)
(F' R' F2 R F R' F') // all edges, leaving 5c (7/19)
@ = [F2, U' B U]     // insert 3c comm (8-5/22)
$ = [F2, U B2 U']    // insert 3c comm (8-6/24)

D B U2 D F'         // EO on FB-axis (5/5)
U F2 U2 L           // easy X-Cross on U\FL (4/9)
L' D2 R' B R B' $ L // F2L-1c on U-FR (7-2/14)
R' D2 R D R' D2 R   // L5C using 2-gen, leaving 3e+1fe (7/21)
$ = [B R' B', M]    // insert 3e comm (10-10/21)

rewrite: D B U2 D F' U F2 U2 D2 % L' D R D' R2 L2  D2 R D R' D2 R
% = U2 R2 U2 L2 D2 L2 // insert 2e2e (6-3/24)

(U L' B2 D' R')  // EO on LR-axis + sq on D + 2p (5/5)
(F' D' B D')     // layer-1c on D-FR + edge on BR (4/9)
(D' L2 D U' F2)  // F2L-1p on D-FR (5-1/13)
(U @ F' U2 F)    // all edges, leaving 3c (4/17)
@ = [U' F2 U, B] // insert 3c comm (8-6/19)

(L R' B R' F U' L) // X-Cross on U\FL + corner on UFR (7/7)
(D2 B' D' B)       // 2nd pair on BRu (4/11)
(L' F' D2 F L)     // 3rd pair on BLu (5/16)
(L') L'            // shift for sq on F (1-2+1/16)
(F2 D' F' D F2)    // direct finish (5-1/20)

R (U' L' B R)     // EO on LR-axis (1+4/5)
D' B' U'          // 1x1x3 bar at FL (3/8)
L2 F2 L2 F'       // 2x2x3 on DL (4/12)
U2 F' U F         // F2L-1c on L-UF (4/16)
F @ R2 D R2 D' F' // F2L on L, leaving 3e on R (6-1/21)
@ = F2 U' F2 L2 B2 D' B2 L2 // insert 3e alg (8-5/24)

U B' D L'       // EO on LR-axis + 1p (4/4)
U B D'          // 2x2x2 on DBR + edge on DF (3/7)
F' U F          // pair on FRd, giving 2x2x3 on DR (3/10)
(B' U' B U)     // F2L-1c on R-UB (4/14)
F' (F')         // shift to position last 3e for below (1-2+1/14)
D' B @ D' B' D2 // all edges, leaving 3c (5/19)
@ = [B, D F D'] // insert 3c comm (8-2/25)

F U R U2             // sq on B (4/4)
D2 R B'              // ext 2x2x2 on UBR (3/7)
(R F2 R')            // pair on DRb (4/10)
(R F' L2 F L' R')    // F2L-1p on B-DL (6-3/13)
(D2 R' D' R @ F' D') // all edges, leaving 3c (6/19)
@ = [R', D L2 D']    // insert 3c comm (8-4/23)

U2 L U'           // sq on B (3/3)
B' L' B2          // 2x2x2 on DBL (3/6)
B2 L D L' B2      // edge on FL using a conj, giving X-Cross on L\DB (5-4/7)
(F2 U F2 U')      // 2nd pair on DFl (4/11)
(U R2 B U B' U')  // F2L-1p on L-UF + 1x2x3 on Bu (6-2/15)
(U F' U' F)       // all edges using Sledge, leaving 5c (4-2/17)

skel: U2 L U' # B' D L' B2 F' U F B U' B' @ R2 F2 U' F2
@ = [B , U F' U'] // insert 3c comm (8-6/19)
# = [U L' U', R2] // insert 3c comm (8-5/22)

U2 L U'           // sq on B (3/3)
B' L' B2          // 2x2x2 on DBL (3/6)
B2 L D L' B2      // edge on FL using a conj, giving X-Cross on L\DB (5-4/7)
(F2 U F2 U')      // 2nd pair on DFl (4/11)
(U R2 B U B' U')  // F2L-1p on L-UF + 1x2x3 on Bu (6-2/15)
(U F' U' F)       // all edges using Sledge, leaving 5c (4-2/17)

skel: U2 L U' # B' D L' B2 F' U F B U' B' @ R2 F2 U' F2
@ = [B , U F' U'] // insert 3c comm (8-6/19)
# = [U L' U', R2] // insert 3c comm (8-5/22)

(F') R2 B        // 5p (1+2/3)
U' F U' L2       // X-Cross on F\UR (4/7)
B2 R D' @ R' B D // F2L-1p on F-UL (6/13)
U R B' R' U' B2  // F2L on D instead, leaving 3c on U (6/19)
@ = [D, L U2 L'] // insert 3c comm (8-2/25)

L D' L2 B2 L'       // 2x2x2 on DBL (5/5)
U R' D' F' D F      // 2x2x3 on DL + EO on FB-axis (6/11)
R2 U @ R' U R' U'   // all edges using 2-gen, leaving 3c (6/17)
@ = [U' F U F', R'] // insert 3c comm (10-5/22)

(U @ D' B)  // EO on FB-axis (3/3)
@ = F2      // EO ext (1/4)
D L' U R D  // 2x2x2 on DFR (5/9)
L2 U2       // 2x2x3 on FR (2/11)
U' L2 U B2  // F2L-1p on R-UB (4-1/14)
L U' L2 U L // F2L on D, leaving 3c on L (5/19)

skel: D L' U # R D L2 U L2 U B2 L U' L2 U L B' D F2 U'
# = [U', L' D L] // insert 3c comm (8-3/24)

F' (B2 U2 B')      // EO on FB-axis (1+3/4)
(L2 U2 D' R' D)    // pseudo Cross on R (5/9)
(D' L' D)          // pseudo pair on DFr (3-2/10)
D F L2 D' L' F     // F2L-1p on R-UB (6/16)
B L $ B'           // all corners, leaving 5e (3/19)
$ = L' B F' D F B' // insert 5e, leaving 3e (6-6/19)

rewrite: F' D F L2 D' L' B2 D F B2 D' L R D U2 L2 % B U2 B2
% = L2 F2 D F2 L2 B2 U B2 // insert 3e alg (8-3/24)

L' U'              // all 5 edges for 2x2x3 on DL aligned (2/2)
L' @ B'            // 2p for 2x2x3 on DL (2/4)
L' F' B D2         // 2x2x3 on DL (4/8)
(U2 F R2 F' R')    // F2L-1c on D-FR (5/13)
(R) R              // free shift to open up a slot (1-2+1/13)
(B L U L' U B' U2) // all corners leaving 3e (7/20)
@ = L U L U L' U' L' U' L' U // insert 3e alg (10-6/24)