alt Hacker NewsC and C++ compilers are limited to preserving semantics for data-race free code only, though. They are allowed to turn a single load into multiple loads, or even a store into multiple stores: things that won't affect anything if you have only one thread accessing memory but for multithreaded programs, changing compiler or just making seemingly unrelated changes and recompiling can make existing data-race bugs have effects or not.
Attempting to get consistent results from floating-point code is another rabbit hole. GCC and clang have various flags for "fast math" which can enable different optimisations that reduce precision.
Before SSE, fp on x86 was done by the "x87" FPU which always had 80-bit precision, even if the type in the source code was 32 or 64 bits — and it used to be accepted to sometimes get more precision than asked for. Java got its "strictfp" mode mainly because of x87.
Data races are undefined behavior¹ so in that case the compiler is still technically preserving semantics but if you use the proper primitives to remove undefined behavior (atomic operations, locks) for any shared state then the compiler will not generate code w/ undefined behavior & all modifications/mutations will be serialized in some order. You can then further refine the code if you want the operations to happen in a certain order. At the end of the day you must assume that the compiler will preserve your intended semantics otherwise we'd still be writing assembly b/c no high level specification would ever mean what it was intended to mean for the low-level executable machine model/target of the compiler.
¹https://cppreference.com/w/cpp/language/multithread.html