D' R D B2 D' B D F2 U' B' R2 B' R2 B' R B2 R2 B2 R2 B2 R' B' U2 F2 D2 F R2 (27)
D' R //EO
D B2 D' B D F2 U' //DR
(R2 F' D2 F2 U2) //2x2x3
(B R2.B R2 B R2 B) //L4E
.=R' B2 R2 B2 R2 B2 R'
Next: F' D2 B R2 F L2 B' R2 D2 U2 L' U' L R D2 U' R2 F' D U R2

1: DNF
2: 37 in 7:24.87 (219.52 points)
3. DNF, looks like I miscrambled :/
4. DNF, real waste of the nice start
5. 38 in 7:58.98 (234.52 points)
This was stressful, though I would probably done a bit better if had more than one cube at hand (not at home at the moment).

F R' L2 U //Square
L2 U2 F' R' F2 U' //FB+Square
L2 U' B2 L2 F' L B' L' F L2 B U //SB+CMLL+EO (lol)
M B2 M' B M2 B' M B2 R' L' //LSE
Next: L2 B2 L2 R2 D2 U' B2 U' R2 U' L' F' U F2 L D2 F L R B

R' F U' L2 R U // FB
F' R' L2 D L' R' U' B' U B U L' //SB+CMLL
B' R L' D' R L' //EO
F L2 R2 B' //L&R
F2 L R' D2 //M
Next: F' R2 D2 F2 U2 F D2 B U2 F' R U2 L' D2 B2 F R D' B F'

L' U' L U' L2 F2 L B L' F2 L B' U2 L (14)
L' U' L U' L'.U2 L //Leaving three corners
.=L' F2 L B L' F2 L B'
Next: B2 R U2 R2 B2 U2 B2 R B2 R2 U2 B U R' U' R U2 B2 R2

y' F2 L2 U' D L2 U2 L' //S1
R U2 F' U' F' U' //S2
z' U R' F R //S3
y' R' U2 R2 U2 R' U' R2 U2 R U R' U2 R //S4
r U R' U' r' F R F' //S5+6 (Clix)
R2 U S' U2 S U R2 U' //S7 (Allan)
Very orthodox.
Next: B2 R2 U2 F R2 B R2 F2 U2 R2 B D U L F' L U F L2 R' U

Speed Heise:
F2 L' U' L U F U' F // Leaving three corners
R2 D' R2 D R2 U2 R2 D' R2 D R2 // Per special
Next: L2 R2 B' L2 F' D2 F2 U2 B' D2 F' R' U B U2 B' U R2 B

R2 F' U F U' L' E2 L2 u2 //S1+2
x U2 R' F R F2 U2 F U' R' U R y U R U R' //S3+4
L U' R' U L' U' R U2 y R2 x D2 R U2 R' D2 R U2 R //S5+6+7
Next: D2 L2 U2 L2 B' L2 U2 B2 U2 B F2 U' L2 U F R U' R2 D2 F2 R

How about score=moves+k*time, where k is some number. It has the pros that
* Easier for competitors to gauge their score during an attempt.
* Allows us to carefully choose a k which we feel gives a good balance between speed and movecount.
* Should discourage multi-hour attempts, unless k is small.

Oh, missed that logarithm, my bad. Is there any upper time limit? As it is now, 38 in two minutes would be about the same score as 20 in three hours. One of these sound more like speed FMC than the other.

I feel like the suggested rules would emphasis speed too much; 60 moves in one minute (should be doable) would be judged just as good as 30 moves in two minutes (very hard).