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Infinite tps is easy though, getting a high finite tps is harder. The highest finite tps I've done without hax is 2000 (floppy cube sim, 2 moves in 0.001)

Cross +1 First Slot
Average of 5: 3.72
1. (2.57) D' F2 L U2 R2 F2 D' U R' D R2 L D2 B R' B' U' D F' B2 U2 B2 U F B2
2. 3.16 F' R' U' F' R L' B2 L2 R' D U' F2 L' B2 U B R F B2 R2 D2 U' R U D
3. 4.25 R' U R F2 R2 B D' L' B' R B2 R L B D2 F2 D2 L' D R2 D2 U L' B D
4. (4.86) U2 D L' F D' F B U R2 D U2 B U' F D U2 B' R' F2 U2 L' F2 B' L U'
5. 3.74 L D R2 D' F2 R2 D U2 R' B U' F B2 D L' R F2 R B' R2 B2 L2 U D' B'

Average of 12: 4.32
1. 3.60 L2 R' D2 F' R B R B' F' R U2 D2 B2 R2 B F D' U' F2 U D2 B2 F' L F2
2. 3.48 L R F2 L' F D2 L F' U F' R2 L D' B2 U D2 B2 R2 F' R2 D U R2 F R
3. 5.46 B' L2 R2 U' D2 B2 L D' F2 L' D R D2 F2 R' U2 B2 U' L' F2 B2 U2 D2 B L'
4. 5.00 R F R' F2 B' U L R' B2 D B F' R' D2 R2 B2 R B U L' R U F R2 D2
5. 3.58 R2 F' U D2 L2 U' D B' L2 F2 B2 L2 D' L2 R2 F U' F2 L' D' L2 F D U' B2
6. 5.17 B' U' R2 F' L' F' L2 B2 L U' D' F2 L2 R D' U R' L' F B' L' F2 R' U B
7. (6.24) U2 F D L' U F2 L' B' D L2 F2 R2 U' B R2 L' U D2 F' R2 U F U' B2 F'
8. 3.54 L2 R B' L2 U R U L' D2 R' U' F U2 L F2 U2 R' B' F U' D' F2 L2 F' D
9. 4.39 B' D' B L' R' U' D B R U2 R2 U2 R2 B' R' L2 D' B F R2 B' R2 F D2 F2
10. 4.36 R2 F2 R' D' R' F2 L F2 D R F D' R2 B' R' D' F2 U B R' D B R U2 D2
11. 4.62 F' D R' U2 R' B2 U2 F' B2 D U B2 F' L U2 L' F2 R' L' D U2 R B R2 B
12. (3.12) D2 B' F D L' D B2 U' B' F2 R' D B D2 F U' L D2 R2 F' D B2 F' R D'

Finished 10,000 cube 2x2 marathon. I actually finished it 2 days ago, I'm just posting this now. I'm still organising the results now though. Nothing very good. Fun fact: I only got 96 DNFs, but 169 2.09s. (Yet 0 2.10s.)

Pyraminx
2.86, 5.34, 4.68, 4.34, 2.47, (16.21), (2.43), 6.94, 3.43, 5.67, 3.68, 3.39 = 4.28
Probably the luckiest average I've ever done on any puzzle. My overall average is 6.
See spoiler for lol skips and move counts. 10 solves had skips and 7 solves were <10 moves

Spoiler

Average of 12: 4.28
1. 2.86 U B' U' L' U' R' U R' b u' L3E skip. 7 moves
2. 5.34 U' B' U' L R' U' R L r u 4th last edge skip. 9 moves
3. 4.68 L R B R' U L' U' B l' r' L3E skip. 11 moves
4. 4.34 U' B R' B' L U R B l r' b u' First block skip. 14 moves
5. 2.47 U R U R' L' U' B' R' r u' L4E skip. 4 moves
6. (16.21) U' L R L' B' L U B b u Lol
7. (2.43) L U' L' U B' U R L' u L3E skip. 6 moves
8. 6.94 L' R' U L' R L' R B' l' b' u' Meh
9. 3.43 U R U' B L B L' U l r' 4th last edge skip. 7 moves
10. 5.67 U L U' B R B L' B' l' r' b u First block skip. 15 moves
11. 3.68 U L' B R' U' R' B L' l' r u L3E skip. 9 moves
12. 3.39 U L' R L R' B R B' l r' b First block skip. 8 moves