My first 3 flushes (of about 15) I flushed the soft green balls (a smaller amount each time). After that I never got anymore of the green soft stones. Since I've flushed out more solid stones and gritty sandy stuff. Most of them are relatively small (pea sized or smaller). I can actually feel them coming out of my liver and I can see them in my stool (they sink to the bottom). I squeezed one and it is hard and doesn't not squish like the soap stones.
It seems like the liver "decongests" during the first few flushes, then gets cleaned out enough to expell calcified stones.