Specifically, GA allows you to invent complex numbers, quaternions, etc. very easily instead of it taking hundreds of years. I've read linear and geometric alg

Specifically, GA allows you to invent complex numbers, quaternions, etc. very easily instead of it taking hundreds of years. I've read linear and geometric algebra and it's amazing for linear operations. Unfortunately it gets more complex when you want to use it for nonlinear operations (such as translation) - now you need to use CGA or PGA or something. Still, seems like it would be amazing for computer graphics, physical simulation, etc. especially if someone can figure out a good strategy for efficient compilation (e.g. representing a multivector with exactly the minimal number of non-zero entries, with non-zero basis elements tracked at compile time).