Earlier quoted context omitted.
It’s because Big O is Computer Science. Cache effects are Software Engineering. Professors of CS do a fine job of teaching CS. They even briefly mention that there is a implicit constant factor k in O(k n log(n)) and then they never mention it again. They certainly don’t mention that k can easily vary by 128x between algos. AKA: 7 levels of a binary tree. Or that most of the data they will be dealing with in practice…
> briefly mention that there is a implicit constant factor k in O(k n log(n)) and then they never mention it again A fine concrete example of this is the Coppersmith–Winograd algorithm (and its derivatives), a matrix multiplication algorithm with impressive complexity properties, but which in practice always loses to the Strassen algorithm, despite Strassen's inferior complexity. [0][1][2] (Aside: the Strassen algori…
Although apparently that threshold can be lowered (http://jianyuhuang.com/papers/sc16.pdf), but even then it's a matrix that's several hundred columns by several hundred rows large.
Some CS classes explicitly use Strassen to teach the realities of asymptotic vs wall-clock time complexity, challenging students to come up with a hybrid matrix multiplication algorithm that performs the fastest and switches at the best thresholds of matrix size.