Rice pudding
Dish made from rice mixed with water or milk
If you add water to rice pudding is it horchata?
Horchata is a drink made from soaking dry rice in water for hours, then pulverizing and straining the mixture and adding spices and sweetener. Rice pudding includes ingredients like eggs, and whole grains of cooked rice. 
What ingredients are in horchata? What ingredients are in rice pudding? If you add water to #2, is it the same as #1?