The problem was that it was aborting too early after stumbling across a point which
might fit within the bounds required. This commit improves the logic here to solve
this and a few other little bugs like that.
Disclaimer: There are still a few cases where it randomly ends up picking something
way off. However, this only seems to occur very sporadically, so it's hard to say
how bad the problem may be.
206f29c12c