R..
My DD got SOOO constipated on rice!!! I switched her to oatmeal instead... more fiber... lol. I also mix a 'poop-fruit' (like prunes, pear, etc.) into her oatmeal most mornings, just to help keep her going. When she gets plugged up, I usually give her a little bit (about 1 1/2 to 2oz) diluted (1 part juice to 2 parts water) apple/prune juice with every meal until she goes.