Hi,
I suggest to make save games when this comes heavily into effect. Then stop the game, relaunch it and then reload the saved file. If it's still slow, contact the support.
The problem seems to hit quite some players, although most seem not to have it. The support people asked me for such save files and said that in the past they were never able to replicate this behaviour.
I noticed myself that after restarting the application and reloading the saved game, there's a chance that the slowdown is gone. Usually, though, the freshly loaded game does begin to slow again after a very brief amount of time, sometimes instantly.
What's really weird:
I reduced the graphics settings to minimum, thus reduced the RAM usage to 500-660MiB and I have 8GiB. So memory or graphics complexity is not the problem.
The game only uses one core for most of the work. Other cores always show up idle in task manager. While that one core typically was maxed out in such situations (even while the game was paused!) I had a very bad slowdown while that one core was only used in the range of 50-70% and all other cores still idle.
As you may guess, my machine keeps perfectly responsive and can run other apps on the other monitor without any problems. But Sins with 32 planets is slow, taking seconds to respond to a mouseclick. Even after all enemies are dead, it's still slow.
Screet