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<a name="math_toolkit.interp"></a><a class="link" href="interp.html" title="Interpreting these Results">Interpreting these Results</a>
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<p>
      In all of the following tables, the best performing result in each row, is
      assigned a relative value of "1" and shown in bold, so a score of
      "2" means <span class="emphasis"><em>"twice as slow as the best performing result".</em></span>
      Actual timings in nano-seconds per function call are also shown in parenthesis.
      To make the results easier to read, they are color-coded as follows: the best
      result and everything within 20% of it is green, anything that's more than
      twice as slow as the best result is red, and results in between are blue.
    </p>
<p>
      Result were obtained on a system with an Intel core i7 4710MQ with 16Gb RAM
      and running either Windows 8.1 or Xubuntu Linux.
    </p>
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<th align="left">Caution</th>
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<tr><td align="left" valign="top"><p>
        As usual with performance results these should be taken with a large pinch
        of salt: relative performance is known to shift quite a bit depending upon
        the architecture of the particular test system used. Further more, our performance
        results were obtained using our own test data: these test values are designed
        to provide good coverage of our code and test all the appropriate corner
        cases. They do not necessarily represent "typical" usage: whatever
        that may be!
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      Walker and Xiaogang Zhang<p>
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