I was able to find this explanation, but I do not believe most users would feel there was any difference - only that one is more familiar to them than the other.
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Compare with or Compare to?
To identify either the similarities or the differences between two things, use "compare to." To identify both the similarities and the differences, use "compare with." In comparing with something, one finds or discusses both things that are alike and things that are different.
-J. Cheney
[link]
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