We also learned that LLVM has a bug, but that was *not* the point of this blog post.
The GCC developers [made exactly the same mistake](https://gcc.gnu.org/bugzilla/show_bug.cgi?id=82282), and I got word that MSVC and ICC have the same issue (though I do not know how to verify this).
And I cannot blame them; the way compiler development typically works, I think bugs like this are inevitable: when exactly UB arises in an IR is often only loosely specified, so evaluating whether some optimization is *correct* in the sense defined above is basically impossible.
-Pointer provenance is just a particularly good example of where the current approach failed.
+Pointer provenance is just a particularly good (and subtle) example.
+The warm-up above is another trivial case of this (albeit one where the existing specification is sufficient): loop-invariant code motion of arithmetic operations and UB on arithmetic overflow can both be *correct*, but not in the same IR.
For another example, see [ยง2.3 of this paper](https://plv.mpi-sws.org/validc/paper.pdf) (Figure 3 contains the code) which shows how a sequence of two optimizations can lead to a miscompilation, where the first optimization is *correct* under the LLVM concurrency model, and the second optimization is *correct* under the C++11 concurrency model---but there is no concurrency model under which *both* optimizations are correct, so each compiler (or rather, each compiler IR) needs to pick one or the other.
-The warm-up example is another trivial case of this: loop-invariant code motion of arithmetic operations and UB on arithmetic overflow can both be *correct*, but not in the same IR.
+Finally, this [paper on `undef` and `poison`](https://www.cs.utah.edu/~regehr/papers/undef-pldi17.pdf) gives examples for optimizations that are broken by the presence of `undef` in LLVM, and describes some of the trade-offs that arise when defining the semantics of `poison`.
Which brings me to my main conclusion for this post: to avoid the problem of incompatible optimizations, I think we need to take compiler IRs more serious as programming languages in their own right, and give them a precise specification---including all the UB.
Now, you may object by saying that LLVM has an [extensive LangRef](https://llvm.org/docs/LangRef.html), and still, by reading the LLVM specification one could convince oneself that each of the three optimizations above is correct, which as we have seen is contradictory.
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