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I saw the same problem on Windows before but i did not test it on Linux. That tutorial tells this:
"The resolution or granularity of a clock is the smallest time difference that can be measured between two consecutive calls. For example, on many Microsoft Windows systems, the resolution of the call to currentTimeMillis is 10 ms. This is because the native implementation makes an operating-system call that has a resolution of 10 ms. Most other operating systems claim to have a resolution of 1 ms."
So you look like to have a better chance.
But you should check your method for inputs which may take more time to compute. Your prof. may use inputs which take more time! (Note that i am not thinking about newton method now or checking your code. Based on your input, i told you my quick informed guesses.)
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