Round 1 Attempt 1 - 20

R' U' F D2 L' D2 B' U2 B' L2 F' L2 B' D2 R D U B' D R2 B2 D F' R' U' F

# Solution

D B' U' F L D F2 R2 F2 B' R2 F' U B2 U B2 R2 U2 D2 F2 (20)

Explanation:

D B' U' F L //EO (5/5)
D //JZP (1/6)
(F2 L2 F2 U' F2 U) //DR (6/12)
B2 L2 F D2 B //HTR (5/17)
F2 D2 //Leave double slice (2/19 but actually 18)

Rewrite
D B' U' F L D
(F2 L2 F2 U' F2 U D2)
{B2 L2 F D2 B F2}

{} = F2 R2 F2 B' R2 F' (0/18)

For the part on inverse at first I rewrote it as
(F2 L2 D U' R2 D2 U L2 D') (3/21)

But then I found this non-obvious equivalent
(F2 D2 U2 R2 B2 U' B2 U') (-1/20)

Optimal from EO :)

Now if you look at the solution linearly on normal, it looks like a DR solve:

D B' U' F L //EO (5/5)
D //RZP (1/6)
F2 R2 F2 B' R2 F' //Sub-optimal DR, I would never look at this (6/12)
U B2 U //HTR (3/15)
B2 R2 U2 D2 F2 //Finish (5/20)

Adding a slice to turn the 11 move DR into a 12 mover is something I
would never consider, but in this case it make the HTR much easier.

# Other comments

The scramble had 14 EOs in 4, only 1 of which requiring NISS. I missed
some of the linear ones and I don't know why, maybe I felt some comp
pressure.

That turned out not to be a problem because the 4 move EOs all sucked.
I had a few short DRs from the, but they were all 5qt.  From 4 move EOs,
mallard finds a 23 with RZP in 6 and DR in 12. With EO in 4 and RZP in
5 the best it finds is a 25.

Good time management on my part, I started rushing through 5 move EOs
at the right moment and found a bunch of direct RZPs, but did not try
to switch after each of them immediately. The EO I used was the 20th,
and it immediately stood out. Found the double slice quite early and I
have not worked on anything else after that.

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Round 1 Attempt 2 - DNF (but I could have written down a 26, I'm stupid)
R' U' F D U2 B R2 F2 D2 F D2 B' U2 F L2 R' B2 R B2 U L2 R2 F' R' U' F
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Round 1 Attempt 3 - 22
R' U' F R F L B' U D' F2 R F D2 R2 F R2 D2 B2 R2 U2 F2 L2 R' B' R' U' F
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Round 2 Attempt 1 - 22
R' U' F L D' R2 D2 U2 B F2 D2 L2 U2 L2 B' L2 D' F R2 D' U B D2 R' U' F
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Round 2 Attempt 2 - 27
R' U' F R F' L' B2 L' F B L' D B' D' B2 U D2 L2 B2 D F2 R' U' F
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Round 2 Attempt 3 - 25
R' U' F R' L' D' L U' R2 D2 F' D R2 B R2 U2 F L2 F' L2 U2 R' B R' U' F