EXPERIMENT 11:

At last, this is the experiment that I really wanted to do all along. The idea came
from my trying to explain how I was making my cube decisions based on "how
much play is left in a game" for one thing.

So I "formulated" this mutant strategy by dividing games into 5 stages: opening,
early, middle, late and closing. I used 54 as the average moves in a game, based
on the 6 million rated games from https://zooescape.com/backgammon-stats.pl 

I set the lengths of the stages varying based on the complexity of positions first
increasing from the beginning and then decreasing towards the ending of games.

Then I assigned arbitrary double points from >50% to >70% and take points from
>0% to >20% as follows:

	Opening: 6 rolls/moves (1 thru 6), double >50%, take >0%
	Early: 12 rolls/moves (7 thru 18), double >55%, take >5%
	Middle: 18 rolls/moves (19 thru 36), double >60%, take >10%
	Late: 12 rolls/moves (37 thru 48), double >65%, take >15%
	Closing: 6 rolls/moves (49 thru 54), double >70%, take >20%

The script keeps count of moves in order to determine the current game stage so
that the mutant can make cube decisions according to the above strategy.

After 20,000 cubeful games, the bot won 146,918 (54.27%) and the mutant won
123,807 (45.73%) points, resulting in 23,111 less points, i.e. -1.1556 ppg, for the
mutant.

Results in numbers of games were much closer with 9,699 (48.50%) won by the
bot and 10,301 (51.51%) won by the mutant, (which is only a +3.01% difference
this time again for the mutant). Even though numbers of games won has almost
no significance in a cube skill experiment, it is noteworthy that the mutant won
more games in this experiment also.

In this experiment, even though the cube did go somewhat high, there was very
little fluctuations even at the level of 1,000 games chucks, with mutant winning
from 41.24% to 52.78% at the most. More trials are always more desirable but I
consider 20,000 games well enough for this experiment.

You may download the related files, especially the game and session logs, if you
want to tabulate more detailed stats in order to do more extensive analyses.