Elephant bush: It is a small shrub native to South Africa and it looks very much like the jade plant also known as Crassula ovata. It has the name, not because of its appearance, it is due to its wild nature. Also, elephants consume this plant, so it is called elephant bush.
Dwarf jade plant: Although it is a shrub, it also comes with small succulent leaves similar to the jade plant Crassula ovata. Also, it is not toxic and it is often used to make salad or soup. As it is too similar to the jade plant, it is called the dwarf jade plant.