L D' F' U            // EO on UD-axis (4/4)
(D2 F' B' # R)       // 2x2x2 on UBR (4/8)
(L2 F L D2)          // F2L-1c on B-UL, leaving 3c3e+1tc (4/12)
(U' F U @ F U' F2 U) // all edges, leaving 5c, -3 on normal (7-3/16)
@ = [U', F' D' F]    // insert 3c comm (8-6/18)
# = [F U2 F', D]     // insert 3c comm (8-2/24)

L2 D R U2 B2 (U')  // 2x2x2 on UBL + edge on UR (5+1/6)
D' F2              // Cross on U (2/8)
F R F D2 F D R' F' // F2L-1c on U-FL (8-1/15)
(D')               // all but 3c (1/16)
([U B' U', F2])    // 3c comm, -1 on normal (8-2-1/21)

(F2 R2 @ U' D' B2)    // 2x2x2 on DBL (5/5)
(F2 D R' D2 # F2 D F) // XX-Cross on D\L (7/12)
(U R U R' U2)         // all but 3c+1tc (5/17)
@ = [R2, D' L D]      // insert 3c comm (8-4/21)
# = [D2, R U' R']     // insert 3c comm (8-4/25)

(B2 L2 D B L' U') // 2x2x2 on UBL (6/6)
(D) D2            // 2x2x3 on BL (1+1/8)
F R2 F @ U' R U   // F2L-1c on L-DF (6/14)
R'                // all edges, leaving 5c (1/15)
@ = [F' R2 F, L]  // insert 3c comm (8-5/18)

rewrite: D2 F2 L F' R2 F L' U' R U R' D' U # L B' D' L2 B2
# = [U', R' D' R] // insert 3c comm (8-2/24)

(R U2)                   // sq on B (2/2)
(F D' B' F2)             // X-Cross on D\BR (4/6)
F' U F @ L U L'          // 2nd pair on BLd   corner on DFR (6/12)
L' U L                   // 3rd pair on FLd (3-1/14)
L' B' U' B U L           // CLL, leaving 5e (6-2/18)
L' U' L F' B D' L D B' F // 3e comm, -3 on inverse (10-4-3/21)
@ = F' U' F U2 D2 B' U B D2 U2 // insert 3e comm (10-6/25)

rewrite: U2 { D2 B' U B D2 U2 L U L2 U B' U' B L } F' B D' L D F' D F' U2 R'
{ = S  // insert slice (2-0/27)
} = S' // insert slice (2-6/23)

(R' U2 F' L')         // EO on LR-axis (4/4)
(D2 B' U)             // 2x2x2 on UBR + edge on FR (3/7)
D R F' @ R' B D B' D' // 1x2x3 on D, giving pseudo F2L-1p on R-UF (8/15)
D'                    // 2x2x3 on DF instead (1-1/15)
B2 R' U' R B2         // all but 3c using a conj (5/20)
@ = F R' U' R F' R' F U F' R // insert 3c alg (10-6/24)

(U' B L2 B L2 D' L' D)  // 2x2x3 on DL (8/8)
(D' R U R' D R)         // F2L-1p on D-BR (6-2/12)
(R' U R)                // all edges, leaving 5c (3-2/13)
(R' F' R B R' F R @ B') // 3c comm (8-2/19)
@ = [R' F R, B2]        // insert 3c comm (8-4/23)

(F) U' R2 F'         // EO on FB-axis (1+3/4)
U' B2 R' D' R2       // 2x2x3 on UR (5/9)
D2 L2 D L D'         // sq on Dbr (5/14)
L2 D2                // 1x2x3 on D + 1p (2/16)
(U D' L' D' L U' L') // direct solve (7/23)

(L' F2 R' @)     // EO on LR-axis (3/3)
R2 B             // 2x2x2 on UBL (2/5)
B' D B           // 1p (3-2/6)
R2 D2 F          // 2x2x3 on UL (3/9)
(B R2 B2 D' B)   // 2x2x3 on BR (5/14)
(D F D' F')      // all edges, leaving 3c, -1 on normal (4-1/17)
@ = [R D R', U'] // insert 3c comm (8-2/23)

L B' @ D' F (B)    // EO on FB-axis (4+1/5)
(R2 U' R' D R2 L2) // pseudo 2x2x3 on DB (6/11)
(F2 D')            // F2L-1e on D-FR (2/13)
(R U2 R')          // all but 3c (3/16)
@ = [B L B', R]    // insert 3c comm (8-3/21)

L D R' U B L R2               // X-Cross on B\UL (7/7)
R' D2 R                       // EO on LR-axis (3-1/9)
F' D F D2                     // 2nd pair on DLb (4/13)
D2 F' D                       // make 1x1x3 bar for DB (3-5/11)
F' D' F2 $ D2                 // 1x2x3 on Db (4/15)
F @                           // 2p on F, leaving 3c3e (1/16)
$ = F2 D F D B R2 B' D' F' D' // insert 3e alg (10-8/18)
@ = [F2, L U L']              // insert 3c comm (8-1/25)

(U' F' R' L' B)           // EO on FB-axis + 1x1x3 bar + 2p (5/5)
(L' F2 R' D2 L2 @ U)      // 2x2x3 on UB (6/11)
R' L D2 L'                // corner on UFL + sq on D (4/15)
D R D2                    // F2L on B + CLL-skip, leaving H-Perm on F (3/18)
$ = L2 D2 L2 U' D' F2 D U // insert 2e2e alg, -1 on normal (8-5-1/20)

rewrite: R' L D2 L' D R % D U2 F2 D U L2 R F2 L B' L R F U
% = R' D2 R L' F2 L // insert 3e (6-3/23)

(U F2 R' U)         // EO on UD-axis (4/4)
L' @ B R F2 L U2    // pseudo 2x2x3 on UF (6/10)
(B' R2 B2)          // 2x2x2 on UBL, giving pseudo F2L-1p on L-DB (3/13)
(B' D2) D2          // many blocks (2-1+1/15)
(F L2 B' L2 B2)     // all but 3e (5/20)
@ = L' B2 L R' U2 R // insert 3e (6-1/25)

L2 U F2 B' U' (B)       // 2x2x2 on UBR (5+1/6)
(F' L2 F L')            // 2x2x3 on UB (4/10)
(L D L')                // EO on LR-axis (3-2/11)
.
.
.

(@ D U F' R U2 F')       // 2x2x2 on DFL + 2e (6/6)
(R U' R' U R')           // pair on UFl + sq on R, giving F2L-1p on F-UR (5/11)
(R' U R U' B2 R' U R U') // 5c case using 2 Sledges, leaving 3e (9-1/19)
@ = B2 D' U R2 U' D      // insert 3e comm (6-3/22)

(U' R' @ U2 F2)   // 2x2x2 on DFR (4/4)
(B2 U' L2)        // Cross on F + corner on DFL (3/7)
(L' B U2 L2 U2 L) // edge on DL (6-1/12)
(L' R B R' L)     // 1x2x3 on Ur (5-2/15)
(U B' U')         // all but 3e (3/18)
@ = R' L F2 U2 L' R B2 U2 // insert 3e (8-5/21)

U2 F2 U B' D L U'     // 2x2x2 on UFR + edge on DR (7/7)
(L B' D' L2 B' D)     // pseudo F2L on R (6/13)
(D L D' B' @ U' L' U) // all but 3c, -1 on normal (7-1-1/18)
@ = [B D B', U]       // insert 3c comm (8-5/21)

R' F' U' D F'             // 2x2x2 on UFR (5/5)
(B L' D' L' D' L' D)      // F2L-1c-1e on R (7/12)
(L2 B' L @ B' L' B' L B2) // F2L on U, leaving 3c on D (8/20)
@ = [L' B L, F]           // insert 3c comm (8-5/23)

R' B' @ L' # U // EO on UD-axis (4/4)
L F2 R B2 L2        // XX-Cross on B\D (5/9)
R' F R              // 3rd pair on URb + all edges skip, leaving 5c (3/12)
@ = [B, R' F R]     // insert 3c comm (8-3/17)
# = [L' U' L, D2]   // insert 3c comm (8-1/24)

U' R2 D' B U2 @ L' F' // 2x2x2 on DFL + edge on UL + sq on R + 1p (7/7)
F B' R B2 R F' (R')   // F2L-1p on F-UR (6-2+1/12)
U' B2 U               // all corners, leaving 2e2e (3/15)
[U' B2 U, M']         // 3e comm, -1 on inverse (10-6-1/18)
@ = [U2, S']          // insert 3e comm (6-4/20)

D' F2 U'            // EO on UD-axis + sq on Ful (3/3)
(R' F R' B' L # R2) // pseudo F2L-1p on B-FR (6/9)
(R' D' F' D @ R B') // all but 2fe (6-1/14)
@ = [D' F D, S]     // insert 3e comm (10-6/18)
# = [E, R2]         // insert 3e comm ( 6-1/23)

L2 @              // 2p (1/1)
F U D' (B')       // pseudo 2x2x2 on DBL + lots of pairs (3+1/5)
(U2 D R2 D' L)    // F2L-1p on B-DR (5/10)
(D' F' D)         // sq on F + EO on UD-axis (3/13)
(F R F' R' F')    // all but 3c (5/18)
@ = [L2, U' R' U] // insert 3c comm (8-2/24)

(B) U F2 L2 F       // EO on FB-axis (1+4/5)
(L2 R @ F2 R2 B2 D) // 2x2x3-1e on DL-FL (6/11)
(D' F2 D)           // edge on FL + sq on U (3-2/12)
U' R' U R U' R'     // ZBLS + EP-skip, leaving 3c on R (6/18)
@ = [R', F L' F']   // insert 3c comm (8-3/23)

F' D' U2 F'              // sq on U (4/4)
(R2 U2)                  // 2x2x2 on FR (2/6)
(L' D B L' D' B @ D' L2) // F2L on U, leaving 3c on D (8/14)
@ = [B', D F' D']        // insert 3c comm (8-5/17)
============================================================
backup solution:
(D2 U % F L')       // EO on LR-axis (4/4)
(U2 D2 B F2 U' B)   // X-Cross on B\UR + corner on DBL (6/10)
(L' D2 L' D2 L)     // F2L-1p on B-UL using a conj (5/15)
(F L F D F D' L')   // alt ZBLS, leaving 3c on F (7/22)
% = [U', F L' F' L] // insert 3c comm (10-6/26)

L2 D2 U' L2 F D B2 (D') // 2x2x3 on BL (7+1/8)
(R2 F' R F')            // F2L-1p on L-DF (4/12)
(F' R' F @ R' D R D' R) // all edges, leaving A-Perm on D (8-1/19)
@ = [F', R B R']        // insert 3c comm (8-5/22)

(F' D2 L2 D')        // Cross-1 on L-F (4/4)
(D' R' D)            // pair on DBl (3-1/6)
(R')                 // EO on LR-axis (1/7)
(U' F B U @ F' U B') // F2L-1p on L-UB (7/14)
(B' D B' D' B2 R2)   // all edges, leaving 3c (6-1/19)
@ = [U' B' U, F2]    // insert 3c comm (8-5/22)

(U B R' F D')     // 2x2x2 on DFL (5/5)
(U' B2 R @ B R2)  // 2x2x3 on DF (5/10)
@ = R U2 R'       // insert for EO on LR-axis (3-1/12)
(B U')            // pseudo F2L-1p on F-UR (2/14)
(B2 U' B # U2)    // all edges, leaving 2c2c (4/18)
# = [B' U B, D]   // insert 3c comm (8-5/21)

rewrite: U2 D B' U B D' B U B' $ R2 B' R U2 R2 B2 U D F' R B' U'
$ = [B U' B', D'] // insert 3c comm (8-7/22)

R' U B2 U' F'   // 2x2x2 on DFL (5/5)
(B R' U2 B U')  // 2x2x3 on FL (5/10)
(D B' D')       // EO on UD-axis (3/13)
(B $ R B)       // all edges, leaving seperable 3c+2tc (3/16)
$ = [B' D B, U] // insert 3c comm to convert 2tc to 3c (8-8/16)

rewrite: R' U B2 U' F' B' R' U B' D B D' B' % U2 R B'
% = [B D B', U] // insert 3c comm (8-7/17)

rewrite: R' U B2 U' F' B' R' U B' D U @ B D' B' U R B'
@ = [D F' D', B'] // insert 3c comm (8-2/23)

(L' U2 D2 R B' U') // pseudo XX-Cross on L\B (6/6)
R2 U               // fix pseudo (2/8)
(F D R2 D' F')     // 3rd pair on UFl, giving F2L-1c on L-DF + EO on UD-axis (5/13)
(R F' R F)         // sq on R using 2-gen (4/17)
(R2 F' R F R2)     // direct finish using 2-gen (5/22)
============================================================
backup solution:
(B2 R' B2)         // sq on L (3/3)
(L D2 L2)          // 2x2x2 on DFL (3/6)
(R' B')            // sq on Bdl, giving XX-Cross on L\D (2/8)
(B' R' B U R @ U') // 3rd pair on UBl (6-1/13)
(U' R U F R F')    // all corners, leaving 3e (6-1/18)
@ = R' U' R U D' F' U F D U' // insert 3e comm (10-5/23)

final: F R' F' U' R' U' D' F' U' F D U' R' B' R B2 R L2 D2 L' B2 R B2

(L' B' R' F)       // EO on FB-axis (4/4)
D2 F2 D2           // 2x2x2 on DBR (3/7)
U' F2 L            // 2x2x3 on DB (3/10)
U2                 // F2L-1p on B-UL (1/11)
U' F' R U' R' U2 F // ZBLS + EP-skip, leaving 3c+1tc, -2 on inverse (7-1-2/15)

skel: D2 F2 D2 U' F2 L U @ F' R U' R' U2 R B L
@ = [U, F' R F R'] // insert 3c comm (10-5/20)

rewrite: D2 F2 D2 U' F2 L U2 F' # R F R' U' R F' U' R' U2 R B L
# = [F, U B U'] // insert 3c comm (8-3/25)

(D' F2 L' F' B') // EO on FB-axis (5/5)
(U' L2 U2 R')    // 2x2x2 on UFR + edge on BR (4/9)
(D2 U' L' D')    // sq on Dbr + 3p (4/13)
(D' L2 D U)      // pair on UBr (4-1/16)
(L' D' L' D L')  // sq on Lub (5/21)
(D' L D L')      // direct finish using Sledge (4/25)

(F2 R F' D B)     // EO on FB-axis (5/5)
(L2 U' L @ U2)    // Cross-1 on L + 2p (4/9)
(R D' L2)         // pseudo XX-Cross on L\U + 1p (3/12)
(D R D' R L)      // all but 3c (5/17)
@ = [R2, U' L' U] // insert 3c comm (8-1/24)

(L2 R' F R F2)   // pseudo 2x2x2 on UFL (5/5)
U2 L' F U2 F B D // 2x2x3 on FL (7/12)
R' B' R2 B2      // all but 2tc (4/16)

skel: U2 L' F U2 F B D % R' B' R2 B2 F2 R' F' R $ L2
$ = [R' F  R, B] // insert 3c comm (8-7/17)
% = [D' B' D, F] // insert 3c comm (8-4/21)

R' F U L             // EO on LR-axis (4/4)
(B2 D F)             // 2x2x2 on DFL (3/7)
(F' B' U2 F R2)      // 2x2x3 on DF (5-2/10)
(U2 @ B2 U2 B U B U) // all but 3c using 2-gen (7/17)
@ = [U2, R' D2 R]    // insert 3c comm (8-3/22)

L2 F2 L2 U R' D' B D' // X-Cross on R\UB + edge on UF (8/8)
D L2 U2 L' D' L @ U2  // F2L-1p on R-DF (7-2/13)
D' L' D L2 F L' F'    // ZBLS + EP-skip, leaving 3c on L (7/20)
@ = [L' D L D', F2]   // insert 3c comm (10-6/24)

(D' B' D' B2 R' L' U2) // X-Cross on B\UL (7/7)
F D2 F                 // make pair for URb slot (3/10)
R' D F' D2 R           // F2L-1p on B-DR (5/15)
R' F' (R' F')          // rNISS shift for +1p (2-2+2/17)
R D R' D'              // direct finish (4/21)

B F2 L F' (L2)          // 2x2x2 on DFL (4+1/5)
(R' U' B2)              // F2L-1p-1c on L-UB-UF (3/8)
(R2 B U' B')            // EO on FB-axis + sq on U (4/12)
(U2 R' U')              // all edges, leaving 5c (3/15)
(U R U' L' U R' @ U' L) // 3c comm (8-5/18)
@ = [R U R', D']        // insert 3c comm (8-3/23)

F2 D' F' B   // EO on FB-axis (4/4)
R' L' D' R   // 2x2x2 on DFR (4/8)
R' U' R      // -2 bad edges on LR-axis (3-2/9)
D L' D' L' @ // sq on Ldf, giving 2x2x3 on DF + EO on LR-axis (4/13)
U2 B2 U'     // all edges, leaving separable 3c3c (3/16)

@ = L D2 L' U' L # D2 L' U // insert 3c comm ( 8-4/20)
# = [L' U L U', B]         // insert 3c comm (10-6/24)

R F U B D L             // 2x2x2 on DFL + edge on BL (6/6)
U B' U2 @ R U2 B' U2 B2 // F2L-1tc on L-UF (8/14)
U F' U' F               // sq on R using Sledge (4/18)
F R F' R2               // all corners, leaving 3e (4-1/21)
@ = [U2 B2 U2 R2]*2     // insert 3e HTR alg (8-4/25)

// NOTE: first time using this fancy 3e alg

F R2 L (D B2)       // 2x2x3-1e on UB-BL (3+2/5)
U L' U'             // edge on BL (3/8)
(D2 F' R' D R F')   // F2L-1p on U-FL (6/14)
(L D L' F' D2 F D') // all corners, leaving 3e (7/21)

skel: F R2 L U L' U' D F' D2 F L D' L' F R' D' $ R F D2 B2 D'
$ = [D, R F L B] // insert 3e comm (10-9/22)
============================================================
backup solution:
(R2 L2 U' F) // EO on FB-axis + line on UM (4/4)
D' R' L D    // 2x2x2 on DFR + M slice (4/8)
(R B2 R' B2) // pair on BRd, giving F2L-bar on R-U (4/12)
(L2 U2 L U2) // all edges, leaving 5c (4/16)

skel: D' R' L D U2 L' @ U2 L2 B2 R B2 R' F' U L2 R2
@ = [L D L', U']   // insert 3c comm ( 8-4/20)

rewrite: D' R' L D2 U2 L' U' # L D' L' U' L2 B2 R B2 R' F' U L2 R2
# = [U, L B' L' B] // insert 3c comm (10-6/24)