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<div class="section">
<div class="titlepage"><div><div><h2 class="title" style="clear: both">
<a name="math_toolkit.comp_compilers"></a><a class="link" href="comp_compilers.html" title="Comparing Different Compilers">Comparing Different Compilers</a>
</h2></div></div></div>
<p>
By running our performance test suite multiple times, we can compare the effect
of different compilers: as might be expected, the differences are generally
small compared to say disabling internal use of <code class="computeroutput"><span class="keyword">long</span>
<span class="keyword">double</span></code>. However, there are still gains
to be main, particularly from some of the commercial offerings:
</p>
<div class="table">
<a name="math_toolkit.comp_compilers.table_Compiler_Comparison_on_Windows_x64"></a><p class="title"><b>Table 16.5. Compiler Comparison on Windows x64</b></p>
<div class="table-contents"><table class="table" summary="Compiler Comparison on Windows x64">
<colgroup>
<col>
<col>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
Function
</p>
</th>
<th>
<p>
Microsoft Visual C++ version 14.0<br> boost 1.61
</p>
</th>
<th>
<p>
GNU C++ version 5.3.0<br> boost 1.61
</p>
</th>
<th>
<p>
GNU C++ version 5.3.0<br> boost 1.61<br> promote_double<false>
</p>
</th>
<th>
<p>
Intel C++ C++0x mode version 1600<br> boost 1.61
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
assoc_laguerre
</p>
</td>
<td>
<p>
<span class="green">1.16<br> (208ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.21<br> (217ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.06<br> (190ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (180ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
assoc_legendre
</p>
</td>
<td>
<p>
<span class="blue">1.57<br> (151ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.80<br> (173ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.16<br> (111ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (96ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
beta
</p>
</td>
<td>
<p>
<span class="blue">1.74<br> (176ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.78<br> (382ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.17<br> (219ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (101ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
beta (incomplete)
</p>
</td>
<td>
<p>
<span class="blue">1.44<br> (520ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.03<br> (1096ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.84<br> (666ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (362ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cbrt
</p>
</td>
<td>
<p>
<span class="red">3.21<br> (45ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.43<br> (48ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.07<br> (43ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (14ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_bessel_i
</p>
</td>
<td>
<p>
<span class="green">1.11<br> (404ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.78<br> (1016ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.21<br> (442ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (365ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_bessel_i (integer order)
</p>
</td>
<td>
<p>
<span class="blue">1.29<br> (261ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.16<br> (638ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.22<br> (247ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (202ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_bessel_j
</p>
</td>
<td>
<p>
<span class="green">1.19<br> (488ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.06<br> (841ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.25<br> (513ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (409ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_bessel_j (integer order)
</p>
</td>
<td>
<p>
<span class="blue">1.36<br> (103ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.39<br> (182ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.47<br> (112ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (76ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_bessel_k
</p>
</td>
<td>
<p>
<span class="green">1.04<br> (747ns)</span>
</p>
</td>
<td>
<p>
<span class="red">9.43<br> (6743ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.03<br> (734ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (715ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_bessel_k (integer order)
</p>
</td>
<td>
<p>
<span class="blue">1.26<br> (419ns)</span>
</p>
</td>
<td>
<p>
<span class="red">10.49<br> (3494ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.10<br> (367ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (333ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_neumann
</p>
</td>
<td>
<p>
<span class="red">16.76<br> (11212ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.01<br> (1346ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (669ns)</span>
</p>
</td>
<td>
<p>
<span class="red">15.35<br> (10266ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_neumann (integer order)
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (225ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.79<br> (403ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.24<br> (279ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.02<br> (229ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
digamma
</p>
</td>
<td>
<p>
<span class="green">1.20<br> (24ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.75<br> (75ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.15<br> (43ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (20ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_1
</p>
</td>
<td>
<p>
<span class="blue">1.87<br> (329ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.99<br> (350ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.32<br> (232ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (176ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_1 (complete)
</p>
</td>
<td>
<p>
<span class="red">2.18<br> (61ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.57<br> (72ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.57<br> (44ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (28ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_2
</p>
</td>
<td>
<p>
<span class="blue">1.78<br> (525ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.17<br> (640ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.52<br> (449ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (295ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_2 (complete)
</p>
</td>
<td>
<p>
<span class="red">2.14<br> (62ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.07<br> (60ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.24<br> (36ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (29ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_3
</p>
</td>
<td>
<p>
<span class="blue">1.94<br> (1155ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.91<br> (1733ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.65<br> (986ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (596ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_3 (complete)
</p>
</td>
<td>
<p>
<span class="red">2.05<br> (721ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.07<br> (1079ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.46<br> (514ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (352ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_rc
</p>
</td>
<td>
<p>
<span class="blue">1.58<br> (49ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.68<br> (83ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.55<br> (48ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (31ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_rd
</p>
</td>
<td>
<p>
<span class="blue">1.75<br> (332ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.83<br> (348ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.40<br> (266ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (190ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_rf
</p>
</td>
<td>
<p>
<span class="blue">1.69<br> (71ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.40<br> (101ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.57<br> (66ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (42ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_rj
</p>
</td>
<td>
<p>
<span class="blue">1.91<br> (344ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.96<br> (532ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.43<br> (257ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (180ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
erf
</p>
</td>
<td>
<p>
<span class="blue">1.77<br> (23ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.92<br> (38ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.92<br> (25ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (13ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
erfc
</p>
</td>
<td>
<p>
<span class="blue">1.29<br> (22ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.41<br> (58ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.06<br> (35ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (17ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
expint
</p>
</td>
<td>
<p>
<span class="blue">1.39<br> (39ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.07<br> (86ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.14<br> (60ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (28ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
expint (En)
</p>
</td>
<td>
<p>
<span class="green">1.10<br> (117ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.19<br> (232ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.38<br> (146ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (106ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
expm1
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (10ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.10<br> (31ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.40<br> (24ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.10<br> (11ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
gamma_p
</p>
</td>
<td>
<p>
<span class="blue">1.29<br> (192ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.64<br> (393ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.71<br> (255ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (149ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
gamma_p_inv
</p>
</td>
<td>
<p>
<span class="blue">1.36<br> (706ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.47<br> (1288ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.91<br> (997ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (521ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
gamma_q
</p>
</td>
<td>
<p>
<span class="green">1.16<br> (179ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.79<br> (429ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.61<br> (248ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (154ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
gamma_q_inv
</p>
</td>
<td>
<p>
<span class="blue">1.37<br> (703ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.38<br> (1225ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.89<br> (971ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (515ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ibeta
</p>
</td>
<td>
<p>
<span class="blue">1.34<br> (520ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.13<br> (1218ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.83<br> (711ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (389ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ibeta_inv
</p>
</td>
<td>
<p>
<span class="blue">1.51<br> (2193ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.81<br> (4085ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.27<br> (3303ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (1452ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ibetac
</p>
</td>
<td>
<p>
<span class="blue">1.29<br> (518ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.94<br> (1179ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.73<br> (694ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (401ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ibetac_inv
</p>
</td>
<td>
<p>
<span class="blue">1.41<br> (2045ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.80<br> (4058ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.78<br> (2572ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (1447ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
jacobi_cn
</p>
</td>
<td>
<p>
<span class="blue">1.36<br> (182ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.72<br> (499ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.28<br> (306ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (134ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
jacobi_dn
</p>
</td>
<td>
<p>
<span class="blue">1.82<br> (262ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.68<br> (530ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.27<br> (327ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (144ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
jacobi_sn
</p>
</td>
<td>
<p>
<span class="blue">1.31<br> (179ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.73<br> (511ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.43<br> (333ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (137ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
laguerre
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (121ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.15<br> (139ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.04<br> (126ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.10<br> (133ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
legendre
</p>
</td>
<td>
<p>
<span class="green">1.07<br> (364ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.16<br> (396ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (340ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.13<br> (383ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
legendre Q
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (427ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.20<br> (512ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.01<br> (430ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.07<br> (455ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
lgamma
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (73ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.07<br> (224ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.82<br> (133ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.05<br> (77ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
log1p
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (14ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">2.00<br> (28ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.14<br> (16ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (14ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
polygamma
</p>
</td>
<td>
<p>
<span class="green">1.16<br> (3773ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.02<br> (3320ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.24<br> (7270ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (3246ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
sph_bessel
</p>
</td>
<td>
<p>
<span class="green">1.17<br> (1005ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.55<br> (1325ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.09<br> (931ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (857ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
sph_neumann
</p>
</td>
<td>
<p>
<span class="green">1.08<br> (1827ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.07<br> (3483ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (1685ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.01<br> (1702ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
tgamma
</p>
</td>
<td>
<p>
<span class="blue">1.31<br> (77ns)</span>
</p>
</td>
<td>
<p>
<span class="red">4.03<br> (238ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.49<br> (147ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (59ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
tgamma (incomplete)
</p>
</td>
<td>
<p>
<span class="blue">1.26<br> (276ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.52<br> (552ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.73<br> (379ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (219ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
trigamma
</p>
</td>
<td>
<p>
<span class="blue">1.35<br> (23ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.88<br> (49ns)</span>
</p>
</td>
<td>
<p>
<span class="blue">1.41<br> (24ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (17ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
zeta
</p>
</td>
<td>
<p>
<span class="blue">1.34<br> (121ns)</span>
</p>
</td>
<td>
<p>
<span class="red">3.83<br> (345ns)</span>
</p>
</td>
<td>
<p>
<span class="red">2.52<br> (227ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (90ns)</span>
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break"><div class="table">
<a name="math_toolkit.comp_compilers.table_Compiler_Comparison_on_linux"></a><p class="title"><b>Table 16.6. Compiler Comparison on linux</b></p>
<div class="table-contents"><table class="table" summary="Compiler Comparison on linux">
<colgroup>
<col>
<col>
<col>
</colgroup>
<thead><tr>
<th>
<p>
Function
</p>
</th>
<th>
<p>
GNU C++ version 5.3.0<br> boost 1.61
</p>
</th>
<th>
<p>
GNU C++ version 5.3.0<br> boost 1.61<br> promote_double<false>
</p>
</th>
</tr></thead>
<tbody>
<tr>
<td>
<p>
assoc_laguerre
</p>
</td>
<td>
<p>
<span class="blue">1.36<br> (263ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (194ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
assoc_legendre
</p>
</td>
<td>
<p>
<span class="red">2.55<br> (258ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (101ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
beta
</p>
</td>
<td>
<p>
<span class="red">4.71<br> (734ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (156ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
beta (incomplete)
</p>
</td>
<td>
<p>
<span class="red">3.12<br> (1796ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (575ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cbrt
</p>
</td>
<td>
<p>
<span class="red">2.53<br> (43ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (17ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_bessel_i
</p>
</td>
<td>
<p>
<span class="red">3.47<br> (1410ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (406ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_bessel_i (integer order)
</p>
</td>
<td>
<p>
<span class="red">3.38<br> (893ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (264ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_bessel_j
</p>
</td>
<td>
<p>
<span class="red">2.69<br> (1071ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (398ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_bessel_j (integer order)
</p>
</td>
<td>
<p>
<span class="red">2.59<br> (275ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (106ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_bessel_k
</p>
</td>
<td>
<p>
<span class="red">6.86<br> (4589ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (669ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_bessel_k (integer order)
</p>
</td>
<td>
<p>
<span class="red">10.17<br> (3673ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (361ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_neumann
</p>
</td>
<td>
<p>
<span class="red">2.48<br> (1478ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (597ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
cyl_neumann (integer order)
</p>
</td>
<td>
<p>
<span class="red">2.20<br> (484ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (220ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
digamma
</p>
</td>
<td>
<p>
<span class="blue">1.92<br> (75ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (39ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_1
</p>
</td>
<td>
<p>
<span class="blue">1.94<br> (358ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (185ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_1 (complete)
</p>
</td>
<td>
<p>
<span class="blue">1.86<br> (52ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (28ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_2
</p>
</td>
<td>
<p>
<span class="red">2.32<br> (805ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (347ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_2 (complete)
</p>
</td>
<td>
<p>
<span class="blue">1.71<br> (60ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (35ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_3
</p>
</td>
<td>
<p>
<span class="red">2.75<br> (2154ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (783ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_3 (complete)
</p>
</td>
<td>
<p>
<span class="red">2.23<br> (1172ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (525ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_rc
</p>
</td>
<td>
<p>
<span class="blue">1.57<br> (77ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (49ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_rd
</p>
</td>
<td>
<p>
<span class="red">2.23<br> (520ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (233ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_rf
</p>
</td>
<td>
<p>
<span class="blue">1.51<br> (95ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (63ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ellint_rj
</p>
</td>
<td>
<p>
<span class="red">2.33<br> (481ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (206ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
erf
</p>
</td>
<td>
<p>
<span class="red">2.60<br> (39ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (15ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
erfc
</p>
</td>
<td>
<p>
<span class="red">2.68<br> (59ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (22ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
expint
</p>
</td>
<td>
<p>
<span class="red">2.47<br> (94ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (38ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
expint (En)
</p>
</td>
<td>
<p>
<span class="blue">1.86<br> (273ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (147ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
expm1
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (10ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.10<br> (11ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
gamma_p
</p>
</td>
<td>
<p>
<span class="red">2.42<br> (492ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (203ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
gamma_p_inv
</p>
</td>
<td>
<p>
<span class="red">2.24<br> (1577ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (704ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
gamma_q
</p>
</td>
<td>
<p>
<span class="red">2.53<br> (508ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (201ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
gamma_q_inv
</p>
</td>
<td>
<p>
<span class="red">2.45<br> (1841ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (751ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ibeta
</p>
</td>
<td>
<p>
<span class="red">2.71<br> (1715ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (634ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ibeta_inv
</p>
</td>
<td>
<p>
<span class="red">2.58<br> (5742ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (2224ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ibetac
</p>
</td>
<td>
<p>
<span class="red">2.66<br> (1736ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (653ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
ibetac_inv
</p>
</td>
<td>
<p>
<span class="red">2.44<br> (5451ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (2237ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
jacobi_cn
</p>
</td>
<td>
<p>
<span class="red">2.77<br> (476ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (172ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
jacobi_dn
</p>
</td>
<td>
<p>
<span class="red">2.80<br> (481ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (172ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
jacobi_sn
</p>
</td>
<td>
<p>
<span class="red">2.86<br> (492ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (172ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
laguerre
</p>
</td>
<td>
<p>
<span class="green">1.09<br> (139ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (128ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
legendre
</p>
</td>
<td>
<p>
<span class="green">1.16<br> (399ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (345ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
legendre Q
</p>
</td>
<td>
<p>
<span class="green">1.18<br> (496ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (422ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
lgamma
</p>
</td>
<td>
<p>
<span class="red">2.20<br> (257ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (117ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
log1p
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (12ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (12ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
polygamma
</p>
</td>
<td>
<p>
<span class="red">3.93<br> (2885ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (734ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
sph_bessel
</p>
</td>
<td>
<p>
<span class="blue">1.71<br> (1563ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (915ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
sph_neumann
</p>
</td>
<td>
<p>
<span class="red">2.15<br> (3745ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (1744ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
tgamma
</p>
</td>
<td>
<p>
<span class="red">3.69<br> (354ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (96ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
tgamma (incomplete)
</p>
</td>
<td>
<p>
<span class="red">2.35<br> (744ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (316ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
trigamma
</p>
</td>
<td>
<p>
<span class="blue">1.64<br> (36ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (22ns)</span>
</p>
</td>
</tr>
<tr>
<td>
<p>
zeta
</p>
</td>
<td>
<p>
<span class="red">2.71<br> (509ns)</span>
</p>
</td>
<td>
<p>
<span class="green">1.00<br> (188ns)</span>
</p>
</td>
</tr>
</tbody>
</table></div>
</div>
<br class="table-break">
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<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
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<td align="right"><div class="copyright-footer">Copyright © 2006-2010, 2012-2014 Nikhar Agrawal,
Anton Bikineev, Paul A. Bristow, Marco Guazzone, Christopher Kormanyos, Hubert
Holin, Bruno Lalande, John Maddock, Jeremy Murphy, Johan Råde, Gautam Sewani,
Benjamin Sobotta, Thijs van den Berg, Daryle Walker and Xiaogang Zhang<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>)
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