The idea is very well implemented and the die personalization really makes you feel in control. Even though it's mostly random, there is definitely some potential for tactics, especially thanks to the "reroll power" (the red face).
Also, I found a bug. If you smash at max power right after the dice start rerolling because one of them landed on the red face, the dice go flying off screen. Happened to me twice, first time they came back, second time I lost 2.
Had a lot of fun with this, I ended up playing for over 15 minutes. Well done!