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<div class="section">
<div class="titlepage"><div><div><h3 class="title">
<a name="boost_multiprecision.perf.float_performance"></a><a class="link" href="float_performance.html" title="Float Algorithm Performance">Float Algorithm
      Performance</a>
</h3></div></div></div>
<p>
        Note that these tests are carefully designed to test performance of the underlying
        algorithms and not memory allocation or variable copying. As usual, performance
        results should be taken with a healthy dose of scepticism, and real-world
        performance may vary widely depending upon the specifics of the program.
        In each table relative times are given first, with the best performer given
        a score of 1. Total actual times are given in brackets, measured in seconds
        for 500000 operations.
      </p>
<div class="table">
<a name="boost_multiprecision.perf.float_performance.operator"></a><p class="title"><b>Table&#160;1.14.&#160;Operator +</b></p>
<div class="table-contents"><table class="table" summary="Operator +">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0575156s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0740086s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.219073s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  2.45065 (0.14095s)
                </p>
              </td>
<td>
                <p>
                  2.01398 (0.149052s)
                </p>
              </td>
<td>
                <p>
                  1.09608 (0.240122s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  2.6001 (0.149546s)
                </p>
              </td>
<td>
                <p>
                  2.12079 (0.156957s)
                </p>
              </td>
<td>
                <p>
                  1.09078 (0.23896s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_int"></a><p class="title"><b>Table&#160;1.15.&#160;Operator +(int)</b></p>
<div class="table-contents"><table class="table" summary="Operator +(int)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  1.46115 (0.0855392s)
                </p>
              </td>
<td>
                <p>
                  2.60353 (0.114398s)
                </p>
              </td>
<td>
                <p>
                  3.62562 (0.264905s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0585424s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0439398s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0730648s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  2.40441 (0.14076s)
                </p>
              </td>
<td>
                <p>
                  3.2877 (0.144461s)
                </p>
              </td>
<td>
                <p>
                  2.40379 (0.175632s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_unsigned_long_long"></a><p class="title"><b>Table&#160;1.16.&#160;Operator +(unsigned long long)</b></p>
<div class="table-contents"><table class="table" summary="Operator +(unsigned long long)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.118146s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.144714s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.315639s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  4.5555 (0.538213s)
                </p>
              </td>
<td>
                <p>
                  3.83096 (0.554395s)
                </p>
              </td>
<td>
                <p>
                  1.95079 (0.615745s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  5.74477 (0.678719s)
                </p>
              </td>
<td>
                <p>
                  4.85295 (0.702291s)
                </p>
              </td>
<td>
                <p>
                  2.70354 (0.853342s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_unsigned_long_long0"></a><p class="title"><b>Table&#160;1.17.&#160;Operator +=(unsigned long long)</b></p>
<div class="table-contents"><table class="table" summary="Operator +=(unsigned long long)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.101188s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.122394s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.251975s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  5.199 (0.526079s)
                </p>
              </td>
<td>
                <p>
                  4.39327 (0.537712s)
                </p>
              </td>
<td>
                <p>
                  2.42151 (0.610159s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  6.08318 (0.615547s)
                </p>
              </td>
<td>
                <p>
                  5.18525 (0.634645s)
                </p>
              </td>
<td>
                <p>
                  3.1022 (0.781677s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator0"></a><p class="title"><b>Table&#160;1.18.&#160;Operator -</b></p>
<div class="table-contents"><table class="table" summary="Operator -">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0895163s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.129248s)
                </p>
              </td>
<td>
                <p>
                  1.5088 (0.374512s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  1.72566 (0.154474s)
                </p>
              </td>
<td>
                <p>
                  1.22567 (0.158415s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.248219s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  1.83764 (0.164499s)
                </p>
              </td>
<td>
                <p>
                  1.34284 (0.173559s)
                </p>
              </td>
<td>
                <p>
                  1.00226 (0.248781s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_int0"></a><p class="title"><b>Table&#160;1.19.&#160;Operator -(int)</b></p>
<div class="table-contents"><table class="table" summary="Operator -(int)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.105285s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.142741s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.278718s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  2.34437 (0.246828s)
                </p>
              </td>
<td>
                <p>
                  1.28814 (0.183871s)
                </p>
              </td>
<td>
                <p>
                  1.00731 (0.280754s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  2.8032 (0.295136s)
                </p>
              </td>
<td>
                <p>
                  2.09178 (0.298582s)
                </p>
              </td>
<td>
                <p>
                  1.25213 (0.34899s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_unsigned_long_long1"></a><p class="title"><b>Table&#160;1.20.&#160;Operator -(unsigned long long)</b></p>
<div class="table-contents"><table class="table" summary="Operator -(unsigned long long)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.13719s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.184428s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.344212s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  4.0804 (0.559791s)
                </p>
              </td>
<td>
                <p>
                  3.06776 (0.565781s)
                </p>
              </td>
<td>
                <p>
                  2.07736 (0.715053s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  5.10114 (0.699828s)
                </p>
              </td>
<td>
                <p>
                  3.88684 (0.716843s)
                </p>
              </td>
<td>
                <p>
                  2.50074 (0.860784s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_unsigned_long_long2"></a><p class="title"><b>Table&#160;1.21.&#160;Operator -=(unsigned long long)</b></p>
<div class="table-contents"><table class="table" summary="Operator -=(unsigned long long)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.100984s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.123148s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.246181s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  5.68353 (0.573944s)
                </p>
              </td>
<td>
                <p>
                  4.68636 (0.577116s)
                </p>
              </td>
<td>
                <p>
                  2.6958 (0.663655s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  6.19738 (0.625834s)
                </p>
              </td>
<td>
                <p>
                  5.18544 (0.638577s)
                </p>
              </td>
<td>
                <p>
                  3.18738 (0.784673s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator1"></a><p class="title"><b>Table&#160;1.22.&#160;Operator *</b></p>
<div class="table-contents"><table class="table" summary="Operator *">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  1.03667 (0.284251s)
                </p>
              </td>
<td>
                <p>
                  1.30576 (0.536527s)
                </p>
              </td>
<td>
                <p>
                  1.44686 (4.81057s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.274196s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.410891s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (3.32484s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  1.24537 (0.341477s)
                </p>
              </td>
<td>
                <p>
                  1.15785 (0.475749s)
                </p>
              </td>
<td>
                <p>
                  1.1796 (3.92199s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_int1"></a><p class="title"><b>Table&#160;1.23.&#160;Operator *(int)</b></p>
<div class="table-contents"><table class="table" summary="Operator *(int)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  3.97453 (0.240262s)
                </p>
              </td>
<td>
                <p>
                  9.91222 (0.463473s)
                </p>
              </td>
<td>
                <p>
                  50.7926 (4.36527s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0604505s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0467577s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0859431s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  2.56974 (0.155342s)
                </p>
              </td>
<td>
                <p>
                  3.56312 (0.166603s)
                </p>
              </td>
<td>
                <p>
                  3.22964 (0.277565s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_unsigned_long_long3"></a><p class="title"><b>Table&#160;1.24.&#160;Operator *(unsigned long long)</b></p>
<div class="table-contents"><table class="table" summary="Operator *(unsigned long long)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.331877s)
                </p>
              </td>
<td>
                <p>
                  1.01058 (0.586122s)
                </p>
              </td>
<td>
                <p>
                  6.688 (4.7931s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  1.72433 (0.572266s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.579987s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.716672s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  2.5553 (0.848047s)
                </p>
              </td>
<td>
                <p>
                  1.74987 (1.0149s)
                </p>
              </td>
<td>
                <p>
                  1.80403 (1.2929s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_unsigned_long_long4"></a><p class="title"><b>Table&#160;1.25.&#160;Operator *=(unsigned long long)</b></p>
<div class="table-contents"><table class="table" summary="Operator *=(unsigned long long)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.321397s)
                </p>
              </td>
<td>
                <p>
                  1.00772 (0.574887s)
                </p>
              </td>
<td>
                <p>
                  6.65946 (4.7468s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  1.77419 (0.570218s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.570482s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.712791s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  2.62172 (0.842611s)
                </p>
              </td>
<td>
                <p>
                  1.77691 (1.01369s)
                </p>
              </td>
<td>
                <p>
                  1.77511 (1.26528s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator2"></a><p class="title"><b>Table&#160;1.26.&#160;Operator /</b></p>
<div class="table-contents"><table class="table" summary="Operator /">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  2.96096 (4.00777s)
                </p>
              </td>
<td>
                <p>
                  4.53244 (7.86435s)
                </p>
              </td>
<td>
                <p>
                  6.11936 (51.5509s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (1.35354s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (1.73512s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (8.42422s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  1.30002 (1.75963s)
                </p>
              </td>
<td>
                <p>
                  1.39045 (2.41261s)
                </p>
              </td>
<td>
                <p>
                  1.66762 (14.0484s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_int2"></a><p class="title"><b>Table&#160;1.27.&#160;Operator /(int)</b></p>
<div class="table-contents"><table class="table" summary="Operator /(int)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  8.60726 (1.8181s)
                </p>
              </td>
<td>
                <p>
                  15.4122 (3.67479s)
                </p>
              </td>
<td>
                <p>
                  34.5119 (24.729s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  1.24394 (0.262756s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.238433s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.716536s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.211229s)
                </p>
              </td>
<td>
                <p>
                  1.12178 (0.26747s)
                </p>
              </td>
<td>
                <p>
                  1.02237 (0.732562s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_unsigned_long_long5"></a><p class="title"><b>Table&#160;1.28.&#160;Operator /(unsigned long long)</b></p>
<div class="table-contents"><table class="table" summary="Operator /(unsigned long long)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  2.10976 (1.97569s)
                </p>
              </td>
<td>
                <p>
                  3.73601 (3.9133s)
                </p>
              </td>
<td>
                <p>
                  11.3085 (25.4533s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.936452s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (1.04746s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (2.25081s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  1.3423 (1.257s)
                </p>
              </td>
<td>
                <p>
                  1.51575 (1.58768s)
                </p>
              </td>
<td>
                <p>
                  3.31513 (7.46175s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_unsigned_long_long6"></a><p class="title"><b>Table&#160;1.29.&#160;Operator /=(unsigned long long)</b></p>
<div class="table-contents"><table class="table" summary="Operator /=(unsigned long long)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  2.17401 (1.96883s)
                </p>
              </td>
<td>
                <p>
                  3.79591 (3.8965s)
                </p>
              </td>
<td>
                <p>
                  11.2328 (25.2606s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.905621s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (1.0265s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (2.24882s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  1.37953 (1.24933s)
                </p>
              </td>
<td>
                <p>
                  1.53073 (1.57129s)
                </p>
              </td>
<td>
                <p>
                  3.30546 (7.43339s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_construct"></a><p class="title"><b>Table&#160;1.30.&#160;Operator construct</b></p>
<div class="table-contents"><table class="table" summary="Operator construct">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.00929804s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0268321s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0310685s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  30.8781 (0.287106s)
                </p>
              </td>
<td>
                <p>
                  7.59969 (0.203916s)
                </p>
              </td>
<td>
                <p>
                  6.51873 (0.202527s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  23.5296 (0.218779s)
                </p>
              </td>
<td>
                <p>
                  8.11058 (0.217624s)
                </p>
              </td>
<td>
                <p>
                  7.16325 (0.222552s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_construct_unsigned"></a><p class="title"><b>Table&#160;1.31.&#160;Operator construct(unsigned)</b></p>
<div class="table-contents"><table class="table" summary="Operator construct(unsigned)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0603971s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0735485s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.116464s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  3.91573 (0.236498s)
                </p>
              </td>
<td>
                <p>
                  2.88171 (0.211945s)
                </p>
              </td>
<td>
                <p>
                  1.81075 (0.210887s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  4.90052 (0.295977s)
                </p>
              </td>
<td>
                <p>
                  4.01118 (0.295017s)
                </p>
              </td>
<td>
                <p>
                  2.62005 (0.305141s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_construct_unsigned_long"></a><p class="title"><b>Table&#160;1.32.&#160;Operator construct(unsigned long long)</b></p>
<div class="table-contents"><table class="table" summary="Operator construct(unsigned long long)">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0610288s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0759005s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.118511s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  8.26247 (0.504249s)
                </p>
              </td>
<td>
                <p>
                  6.69042 (0.507806s)
                </p>
              </td>
<td>
                <p>
                  4.32819 (0.51294s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  10.1593 (0.620013s)
                </p>
              </td>
<td>
                <p>
                  8.45884 (0.64203s)
                </p>
              </td>
<td>
                <p>
                  5.51472 (0.653557s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="boost_multiprecision.perf.float_performance.operator_str"></a><p class="title"><b>Table&#160;1.33.&#160;Operator str</b></p>
<div class="table-contents"><table class="table" summary="Operator str">
<colgroup>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
                <p>
                  Backend
                </p>
              </th>
<th>
                <p>
                  50 Bits
                </p>
              </th>
<th>
                <p>
                  100 Bits
                </p>
              </th>
<th>
                <p>
                  500 Bits
                </p>
              </th>
</tr></thead>
<tbody>
<tr>
<td>
                <p>
                  cpp_dec_float
                </p>
              </td>
<td>
                <p>
                  2.95848 (0.0223061s)
                </p>
              </td>
<td>
                <p>
                  3.33461 (0.033471s)
                </p>
              </td>
<td>
                <p>
                  3.0159 (0.132732s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  gmp_float
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.00753971s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0100374s)
                </p>
              </td>
<td>
                <p>
                  <span class="bold"><strong>1</strong></span> (0.0440106s)
                </p>
              </td>
</tr>
<tr>
<td>
                <p>
                  mpfr_float
                </p>
              </td>
<td>
                <p>
                  1.25424 (0.00945658s)
                </p>
              </td>
<td>
                <p>
                  1.24943 (0.012541s)
                </p>
              </td>
<td>
                <p>
                  1.09428 (0.0481601s)
                </p>
              </td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><p>
        Test code was compiled with Microsoft Visual Studio 2010 with all optimisations
        turned on (/Ox), and used MPIR-2.3.0 and <a href="http://www.mpfr.org" target="_top">MPFR</a>-3.0.0.
        The tests were run on 32-bit Windows Vista machine.
      </p>
</div>
<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
<td align="left"></td>
<td align="right"><div class="copyright-footer">Copyright &#169; 2002-2019 John Maddock
      and Christopher Kormanyos<p>
        Distributed under the Boost Software License, Version 1.0. (See accompanying
        file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
      </p>
</div></td>
</tr></table>
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