> I cannot think of any algorithms with arbitrary sized inputs that have truly constant execution time.
With respect, I think you may misunderstand the meaning of "constant time" in the sense of complexity theory, i.e. O(1). Accessing an element in an array of size n is a constant time operation. See: https://stackoverflow.com/questions/7297916/why-does-accessi...
Wouldn’t searching for an element in an arbitrary array of size n happen in O(n) time, while only accessing it is considered O(1)? I could understand the search case for something like a hash table being O(1) but does that also apply to your standard array?
With respect, I think you may misunderstand the meaning of "constant time" in the sense of complexity theory, i.e. O(1). Accessing an element in an array of size n is a constant time operation. See: https://stackoverflow.com/questions/7297916/why-does-accessi...
EDIT: Corrected "search" to "access"