"My mental model of CPUs is stuck in the 1980s: basically boxes that do arithmetic, logic, bit twiddling and shifting, and loading and storing things in memory. I'm vaguely aware of various newer developments like vector instructions (SIMD) and the idea that newer CPUs have support for virtualization (though I have no idea what that means in practice). What cool developments have I been missing? "
An article by Dan Luu answers this question and provides a good overview of various cool tricks modern CPUs can perform. The slightly older presentation Compiler++ by Jim Radigan also gives some insight on how C++ translates to modern instruction sets.