Move Counts From TNoodle Scrambles

[PingSkills]

Out of interest I generated 50,000 3x3 scrambles using TNoodle. The average scramble length was 19.33 moves. There were 3 scrambles of 14 moves, 34 of 15 moves, 216 of 16 moves, 1244 of 17 moves, 6250 of 18 moves, 19,199 of 19 moves, 20,038 of 20 moves, and 3016 of 21 moves.

Here are the most common moves from highest to lowest:


[table="width: 500, class: outer_border"]
[tr]
[td]Move[/td]
[td]Count[/td]
[/tr]
[tr]
[td]R2[/td]
[td]75,996[/td]
[/tr]
[tr]
[td]L2[/td]
[td]75,158[/td]
[/tr]
[tr]
[td]F2[/td]
[td]74,670[/td]
[/tr]
[tr]
[td]B2[/td]
[td]73,506[/td]
[/tr]
[tr]
[td]U2[/td]
[td]73,048[/td]
[/tr]
[tr]
[td]D2[/td]
[td]70,093[/td]
[/tr]
[tr]
[td]U'[/td]
[td]46,363[/td]
[/tr]
[tr]
[td]U[/td]
[td]46,145[/td]
[/tr]
[tr]
[td]F'[/td]
[td]44,343[/td]
[/tr]
[tr]
[td]D'[/td]
[td]44,336[/td]
[/tr]
[tr]
[td]D[/td]
[td]44,135[/td]
[/tr]
[tr]
[td]F[/td]
[td]43,767[/td]
[/tr]
[tr]
[td]R'[/td]
[td]43,280[/td]
[/tr]
[tr]
[td]R[/td]
[td]42,912[/td]
[/tr]
[tr]
[td]B'[/td]
[td]42,711[/td]
[/tr]
[tr]
[td]B[/td]
[td]42,565[/td]
[/tr]
[tr]
[td]L'[/td]
[td]41,350[/td]
[/tr]
[tr]
[td]L[/td]
[td]41,345[/td]
[/tr]
[/table]

I did the same for the 2x2 and all the scrambles were 11 moves. Here are the most common moves:
[table="width: 500, class: outer_border"]
[tr]
[td]Move[/td]
[td]Count[/td]
[/tr]
[tr]
[td]U'[/td]
[td]101,695[/td]
[/tr]
[tr]
[td]R'[/td]
[td]79,586[/td]
[/tr]
[tr]
[td]R[/td]
[td]77,804[/td]
[/tr]
[tr]
[td]U2[/td]
[td]75,246[/td]
[/tr]
[tr]
[td]F[/td]
[td]67,736[/td]
[/tr]
[tr]
[td]R2[/td]
[td]53,380[/td]
[/tr]
[tr]
[td]F'[/td]
[td]43,326[/td]
[/tr]
[tr]
[td]U[/td]
[td]42,140[/td]
[/tr]
[tr]
[td]F2[/td]
[td]9,087[/td]
[/tr]
[/table]

 

[Smiles]

interesting. what's the lowest legal optimal solution for 3x3 in competition?

 

[Lucas Garron]

interesting. what's the lowest legal optimal solution for 3x3 in competition?

Assuming you mean "lowest move count": 2.

 

[guysensei1]

What's with 2x2 scrambles and F2?
Why so little?

 

[TDM]

What's with 2x2 scrambles and F2?
Why so little?

I wasn't really surprised with the 3x3 results (except that there were more F's than D/D's), but the 2x2 results seem really weird. Is there any explanation for this?

 

[guysensei1]

I wasn't really surprised with the 3x3 results (except that there were more F's than D/D's), but the 2x2 results seem really weird. Is there any explanation for this?

The 3x3 ones make sense to me. It's just the way the scramble program solves the cube.

 

[Stefan]

What's with 2x2 scrambles and F2?
Why so little?

Probably because people don't like them, so the program tries all other moves first. I wouldn't be surprised if we could eliminate them completely.

We could probably also improve the qtm average. It was ~13.8 in PingSkills' experiment, and something as low as ~11.5 might be possible:
http://ideone.com/Qmixjg