Exhaustive search is untenable for the 64-bit case. Any strategy here? Testing 2^40 bits might be tenable; any way to select which ones would have the best ROI?
Obviously that needs to be multiplied by the number of instructions a test needs to execute (and it has to be well written with AVX 512), but we're not talking nation state levels of resources here for simple cases, and that figure is only going to drop further with time.
Not to mention the potential for FPGA or ASIC implementations if the tests are important enough.
Edit: sorry, I just don't have the time to get you the details.