Just started attempting this game the other day. Put maybe 3 hours into it so far and managed a score of 12,275.
I was doing really good on that second run (9k points at only 24 eggs) but made a stupid mistake.
This game is seriously difficult. Harder than Tetris, in my opinion. But also very addictive: I'll definitely be coming back to this game some day. I haven't tried it on low speed yet.
I'm not sure what everyone else has been doing, but I've been just agressively going for 7-stack eggs and doing as many as I can handle at once. After it gets too fast for me to plan out my moves, I try to only do one stack at a time and cancel out the other eggs so they don't build up. It's amazing how quickly you can lose, haha. I've found myself pausing just to give my brain a break.