There may not be, but unless it is attempted seriously do we actually know? Is the current local maxima near the global one or are we a long ways off? I have no

There may not be, but unless it is attempted seriously do we actually know? Is the current local maxima near the global one or are we a long ways off? I have no idea, but I can't assume we are already there just because my imagination can't come up with a better solution.