puzzle out与puzzle over的区别

puzzle out苦心思索出(解决办法、答案等),通过深思或研究而找出(解决问题的办法等),揣摩出,推敲出
puzzle over苦心思索,集中思想考虑(问题等)；对…迷惑不解；为…大费脑筋
例如
At last they managed to puzzle out the meaning of the cipher.
最后他们终于弄清楚这符号是什么意思.
What's worse,users pay this cost over and over again as they puzzle over the interface each time they use a feature.
更糟糕的是,每次使用这些特征,用户都要重复这些损失来应对界面带来的困惑.
其实区别不大

苦苦思索而弄清楚（或解决）
苦苦思考（对什么的困惑）