}
{% endhighlight %}
It would be beneficial to be able to optimize the final read of `y[0]` to just return `42`.
+C++ compilers regularly perform such optimizations as they are crucial for generating high-quality assembly.[^perf]
The justification for this optimization is that writing to `x_ptr`, which points into `x`, cannot change `y`.
+[^perf]: To be fair, the are *claimed* to be crucial for generating high-quality assembly. The claim sounds plausible to me, but unfortunately, I do not know of a systematic study exploring the performance benefits of undefined behavior such as this.
+
However, given how low-level a language C++ is, we can actually break this assumption by setting `i` to `y-x`.
Since `&x[i]` is the same as `x+i`, this means we are actually writing `23` to `&y[0]`.
Of course, that does not stop C++ compilers from doing these optimizations.
-To allow this, the standard declares our code to have [undefined behavior]({% post_url 2017-07-14-undefined-behavior %}).
+To allow this, the standard declares our code to have [undefined behavior]({% post_url 2017-07-14-undefined-behavior %}).[^0]
+
+[^0]: An argument could be made that compilers should just not do such optimizations to make the programming model simpler. This is a discussion worth having, but the point of this post is not to explore this trade-off, it is to explore the consequences of the choices made in C++.
First of all, it is not allowed to perform pointer arithmetic (like `&x[i]` does) that goes [beyond either end of the array it started in](https://timsong-cpp.github.io/cppwp/n4140/expr.add#5).
Our program violates this rule: `x[i]` is outside of `x`, so this is undefined behavior.