But if it doesn't, you'll be able to trace the failure back to the flaw in the logic (or mistake in the math), which will give you a path forward to correct the

But if it doesn't, you'll be able to trace the failure back to the flaw in the logic (or mistake in the math), which will give you a path forward to correct the failure. If you just try things and they don't work, it can be much less obvious where to go from there.