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I guess the difference between "an average programmer" and a compiler is that the compiler has "mechanical sympathy" with the hardware it's compiled to. Also feel the need to quote Donald Knuth / Hoare / Dijkstra, depending on who you ask: "premature optimisation is the root of all evil".
In today's world of cloud computing, it all gets fuzzy: virtual machines, containers and runtime virtual machines (eg Java's Virtual Machine) can all co-exist together. Therefore, compiler micro-optimisations are meaningless in the grander scheme of things - code optimised for a container might be irrelevant on the VM / Physical hardware it runs on.
Of course, if we're talking about bare-metal control, then it matters. However these scenarios are quite niche, unless we're talking about running code on Micro Controllers, then optimising power by optimising CPU cycles is good. x number of CPU cycles costs microamps of battery life, so this could be critical for some applications.