This is an annoying tactic.What compiler? The one running on the dimensional object in physical space, neither of which we have defined? The one a load of non-dimensional photon bits sent to your informational brain is using words to reflect the dimensionality of?
Every time I use a computer in my examples, I could just as easily use a human brain. I deliberately choose computers because you do not believe they have any magic sauce, and so, if I can demonstrate that a computer can do something, then I have demonstrated that the thing can be done without magic sauce.
If you insist on playing the dumb "what compiler?" game, then feel free to replace every example of compiler/computer/CPU with "human brain".