In short, both point to the fact that you are making an attempt at doing something. So yes, I would consider them to be similar. It just depends on the person and the situation in which they are used.
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March 19, 2016
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Basically, "try to do" is something in which you are making a personal attempt. As where, "try doing" is more of a suggestion based on what someone else has suggested. In a way, try doing would be closer to performing an experiment.