I run 100 games - the algorithm needs 949 rounds in average to reach the 2048 tile

Thanks. Good to know The Game is beatable in 10-15 minutes ;)

That does not depend much on the solution, mostly it depends at the speed at which numbers are generated (which you can approximate constant to 20.8 + 40.2).

From the op: "But level=2 is enough to win 100% of all games!"

So I think it can win all games?

That does not answer how many moves it takes to get to 2048 though.

Oh. Was that what was meant by "rounds"? I assumed how many times does the game have to be played.