Since the cpu always accesses a full cache line (64 bytes) at a time, you might as well search the entire cache line (it’s practically free once the data is on-cpu). So I’d like to try a ‘binary’ search that tests all the values in the ‘middle cache line’ and then chooses to go left or right if none match. You can do the cache line search as a single 512bit simd instruction. A cache line is 64 bytes (or 32 16-bit integers); such a search might well be almost 32 times faster than simple binary search; at least it’ll do 32x less memory accesses, which will dominate in most realistic programs.