The problem with nuclear reprocessing is that it creates more nuclear waste as a byproduct so it only really makes sense when you want to make nuclear weapons.

That figure is correct only if you consider the energy content of the U-238 in the fuel. But reprocessing fuel to recover U-238 is idiotic: we have loads of U-238 in enrichment plant waste streams, and the material is so cheap they use it as ballast weights in sailboats.