Your first thought is "Asteroids clone, yawn." But it doesn't take long to realize there's a lot more going on here. Your gun slices up asteroids rather than blowing them up, and as they get smaller, you earn resources (floating numbers indicate so). Enemy ships show up and you have to deal with them too. Every once in a while, a sort of wandering space station shows up that you can dock with to unload your resources for score -- and while there, you can upgrade your ship. There are a lot of upgrades, too.
An increasing variety of enemy types, faster moving asteroids, boss battles -- and sometimes the screen gets close to bullet hell levels of activity, though this is not a bullet hell game. If you took Asteroids, and say, "Let's take it up ten X," you might get something like this.