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I suggest the following average move time calculation so it is a moving average and it is just a simple change.
The idea is to cap the calculation for average to 50 average games(50x30=1500 moves).
Use this formula after 50 games:
Your average move time after a move is
(1500 x av move time + this move time) / (1500+1)
Not cpu intensive at all and it is quicker to lower average move time after a player moves quickly repeatedly.
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