[appeldorian]

I think a great start is to make arrays of similar data. Instead of an array of (x,y,z) use an array for x, an array for y and another one for z. If you then square these and sum them for example, the compiler might figure out good optimizations for it if you write it as a simple loop.

Also read about SIMD instructions like AVX2. They are often used under the hood when possible, but just knowing what they require can help "triggering" them, depending on which language you use. In C++ for example, the compiler really looks for opportunities to use those instructions. You can tell the compiler did it, by looking in the assembly code if any XMM or YMM registers are being used (these are the names of the SIMD registers).