Reorganize how the binOp and genBinOp functions work.

I've spent quite a while here reading exactly through the spec and so many
tests are enabled because of several critical issues the old design had.

There are some regressions that will take a long time to figure out individually
so I will ignore them for now, and pray they get fixed by themselves. When
we're closer to 100% passing is when I will start diving into them one-by-one.