#1: The magic tree's stump does not dissappear when you cut the tree down.
      http://gyazo.com/94c80f39b22c05d6cc1abf01e609d55a
      This occurs on every patch.

#2: When I cut a magic tree down, it appeared again after a minute or so. I was able to cut it down again and again.
      This occurs when you do not use your spade on the patch after you cut it down.

I don't know if this happens with other trees too.