That is literally reason why any behavior is considered undefined. So that the compiler can skip checks to produce better optimized code.
EDIT: To make it clearer, you could imagine an alternate version of C that aborted the program if an integer overflowed. Then there would be no undefined behavior at all - but the optimization is still possible. It's not the UB that helps us here, it's the language spec telling us what behavior is reliable and what is not.
The optimisation wouldn't be possible in that case because then the program wouldn't abort when the integer overflowed. It would break the defined behaviour that overflow=abort.
But then an optimization could change the defined behavior of aborting to not aborting, which is essentially what undefined behavior means and really bad if you don’t treat it exactly like undefined behavior.
For example, with gcc you can use either the option "-ftrapv" or the better option "-fsanitize=undefined -fsanitize-undefined-trap-on-error" and the program will abort on integer overflows (with the second option it will also abort for many other error conditions, e.g. access out of bounds).
Classic misunderstanding of undefined behaviour. In this case it's still undefined behaviour, but the vendor has said "this is what my compiler will do with this particular undefined behaviour under these circumstances". Vendors are allowed to do anything they want when code containing undefined behaviour is submitted to their compiler, including doing something you might consider sane.
Nevertheless, in such cases it is the responsibility of the programmer to either write programs in which it is guaranteed that events for which the program behavior is undefined will never happen or to choose compiler options to handle such events.
If the programmers do their job right, then the compiler is free to optimize like when the undefined cases do not exist.
Unlike the case with integer overflow, there are cases where the programming language standards correctly leave some behavior as undefined, e.g. the order of evaluation for function arguments. For that kind of undefined behavior the programmer must take care to write only programs whose effects do not depend on it.
Data dependent events like integer overflow cannot always be avoided, so compilers must have options to generate exceptions when they happen.
This is a language choice. A better language can ensure that "data dependent events like integer overflow" are in fact avoided entirely. C and C++ chose not to do this.
I'm certain you'll disregard evidence from any languages that don't have similar performance characteristics to C or C++, so let's focus on two that do.
In Rust, the arithmetic operations that can result in overflow are supplied in typically four varieties. Checked operations, which produce an Option that is either Some(answer) or None if they would overflow, Overflow operations which produce a pair (answer,overflow?) where the boolean overflow? tells us whether an overflow occurred, Saturating operations, which produce an answer that's either correct or, if it overflows, saturated at the boundary crossed and finally Wrapping operations, which produce the answer with a wrapping number line.
In WUFFS the programmer is responsible for ensuring that their arithmetic operations cannot overflow. If you try to add two arbitrary 16-bit integers together in WUFFS the compiler will complain that it can't see why this is safe as they might overflow. Only once the programmer has excluded this case (e.g. if either integer is larger than 999 or smaller than -999 the function reports this as an error and doesn't add them together) can they add the integers together, since now there can't be an overflow.
Vendors are allowed to do anything they want when code containing undefined behaviour is submitted to their compiler
Yes, and his compiler is saying that it will trap these events. Are you suggesting that the compiler will secretly ignore this setting and then go on to do all kinds of insane things?
Defining the behaviour of a particular compiler under specific circumstances does not equate to defining the behaviour of the C language.
I don't think there's an obvious 'good' and 'bad' choice here.
It's actually an interesting example where undefined behavior allowed compiler optimization:
(1) dereferencing an invalid pointer is UD
(2) signed integer overflow is UD.
This allows the compiler to assume that the program never crashes and the counter never overflows. The loop is then optimized out knowing that it is read-only thus has no side-effects.