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Comparing Different Compilers

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 long double. However, there are still gains to be main, particularly from some of the commercial offerings:

Table 16.5. Compiler Comparison on Windows x64

Function

Microsoft Visual C++ version 14.0
boost 1.61

GNU C++ version 5.3.0
boost 1.61

GNU C++ version 5.3.0
boost 1.61
promote_double<false>

Intel C++ C++0x mode version 1600
boost 1.61

assoc_laguerre

1.16
(208ns)

1.21
(217ns)

1.06
(190ns)

1.00
(180ns)

assoc_legendre

1.57
(151ns)

1.80
(173ns)

1.16
(111ns)

1.00
(96ns)

beta

1.74
(176ns)

3.78
(382ns)

2.17
(219ns)

1.00
(101ns)

beta (incomplete)

1.44
(520ns)

3.03
(1096ns)

1.84
(666ns)

1.00
(362ns)

cbrt

3.21
(45ns)

3.43
(48ns)

3.07
(43ns)

1.00
(14ns)

cyl_bessel_i

1.11
(404ns)

2.78
(1016ns)

1.21
(442ns)

1.00
(365ns)

cyl_bessel_i (integer order)

1.29
(261ns)

3.16
(638ns)

1.22
(247ns)

1.00
(202ns)

cyl_bessel_j

1.19
(488ns)

2.06
(841ns)

1.25
(513ns)

1.00
(409ns)

cyl_bessel_j (integer order)

1.36
(103ns)

2.39
(182ns)

1.47
(112ns)

1.00
(76ns)

cyl_bessel_k

1.04
(747ns)

9.43
(6743ns)

1.03
(734ns)

1.00
(715ns)

cyl_bessel_k (integer order)

1.26
(419ns)

10.49
(3494ns)

1.10
(367ns)

1.00
(333ns)

cyl_neumann

16.76
(11212ns)

2.01
(1346ns)

1.00
(669ns)

15.35
(10266ns)

cyl_neumann (integer order)

1.00
(225ns)

1.79
(403ns)

1.24
(279ns)

1.02
(229ns)

digamma

1.20
(24ns)

3.75
(75ns)

2.15
(43ns)

1.00
(20ns)

ellint_1

1.87
(329ns)

1.99
(350ns)

1.32
(232ns)

1.00
(176ns)

ellint_1 (complete)

2.18
(61ns)

2.57
(72ns)

1.57
(44ns)

1.00
(28ns)

ellint_2

1.78
(525ns)

2.17
(640ns)

1.52
(449ns)

1.00
(295ns)

ellint_2 (complete)

2.14
(62ns)

2.07
(60ns)

1.24
(36ns)

1.00
(29ns)

ellint_3

1.94
(1155ns)

2.91
(1733ns)

1.65
(986ns)

1.00
(596ns)

ellint_3 (complete)

2.05
(721ns)

3.07
(1079ns)

1.46
(514ns)

1.00
(352ns)

ellint_rc

1.58
(49ns)

2.68
(83ns)

1.55
(48ns)

1.00
(31ns)

ellint_rd

1.75
(332ns)

1.83
(348ns)

1.40
(266ns)

1.00
(190ns)

ellint_rf

1.69
(71ns)

2.40
(101ns)

1.57
(66ns)

1.00
(42ns)

ellint_rj

1.91
(344ns)

2.96
(532ns)

1.43
(257ns)

1.00
(180ns)

erf

1.77
(23ns)

2.92
(38ns)

1.92
(25ns)

1.00
(13ns)

erfc

1.29
(22ns)

3.41
(58ns)

2.06
(35ns)

1.00
(17ns)

expint

1.39
(39ns)

3.07
(86ns)

2.14
(60ns)

1.00
(28ns)

expint (En)

1.10
(117ns)

2.19
(232ns)

1.38
(146ns)

1.00
(106ns)

expm1

1.00
(10ns)

3.10
(31ns)

2.40
(24ns)

1.10
(11ns)

gamma_p

1.29
(192ns)

2.64
(393ns)

1.71
(255ns)

1.00
(149ns)

gamma_p_inv

1.36
(706ns)

2.47
(1288ns)

1.91
(997ns)

1.00
(521ns)

gamma_q

1.16
(179ns)

2.79
(429ns)

1.61
(248ns)

1.00
(154ns)

gamma_q_inv

1.37
(703ns)

2.38
(1225ns)

1.89
(971ns)

1.00
(515ns)

ibeta

1.34
(520ns)

3.13
(1218ns)

1.83
(711ns)

1.00
(389ns)

ibeta_inv

1.51
(2193ns)

2.81
(4085ns)

2.27
(3303ns)

1.00
(1452ns)

ibetac

1.29
(518ns)

2.94
(1179ns)

1.73
(694ns)

1.00
(401ns)

ibetac_inv

1.41
(2045ns)

2.80
(4058ns)

1.78
(2572ns)

1.00
(1447ns)

jacobi_cn

1.36
(182ns)

3.72
(499ns)

2.28
(306ns)

1.00
(134ns)

jacobi_dn

1.82
(262ns)

3.68
(530ns)

2.27
(327ns)

1.00
(144ns)

jacobi_sn

1.31
(179ns)

3.73
(511ns)

2.43
(333ns)

1.00
(137ns)

laguerre

1.00
(121ns)

1.15
(139ns)

1.04
(126ns)

1.10
(133ns)

legendre

1.07
(364ns)

1.16
(396ns)

1.00
(340ns)

1.13
(383ns)

legendre Q

1.00
(427ns)

1.20
(512ns)

1.01
(430ns)

1.07
(455ns)

lgamma

1.00
(73ns)

3.07
(224ns)

1.82
(133ns)

1.05
(77ns)

log1p

1.00
(14ns)

2.00
(28ns)

1.14
(16ns)

1.00
(14ns)

polygamma

1.16
(3773ns)

1.02
(3320ns)

2.24
(7270ns)

1.00
(3246ns)

sph_bessel

1.17
(1005ns)

1.55
(1325ns)

1.09
(931ns)

1.00
(857ns)

sph_neumann

1.08
(1827ns)

2.07
(3483ns)

1.00
(1685ns)

1.01
(1702ns)

tgamma

1.31
(77ns)

4.03
(238ns)

2.49
(147ns)

1.00
(59ns)

tgamma (incomplete)

1.26
(276ns)

2.52
(552ns)

1.73
(379ns)

1.00
(219ns)

trigamma

1.35
(23ns)

2.88
(49ns)

1.41
(24ns)

1.00
(17ns)

zeta

1.34
(121ns)

3.83
(345ns)

2.52
(227ns)

1.00
(90ns)


Table 16.6. Compiler Comparison on linux

Function

GNU C++ version 5.3.0
boost 1.61

GNU C++ version 5.3.0
boost 1.61
promote_double<false>

assoc_laguerre

1.36
(263ns)

1.00
(194ns)

assoc_legendre

2.55
(258ns)

1.00
(101ns)

beta

4.71
(734ns)

1.00
(156ns)

beta (incomplete)

3.12
(1796ns)

1.00
(575ns)

cbrt

2.53
(43ns)

1.00
(17ns)

cyl_bessel_i

3.47
(1410ns)

1.00
(406ns)

cyl_bessel_i (integer order)

3.38
(893ns)

1.00
(264ns)

cyl_bessel_j

2.69
(1071ns)

1.00
(398ns)

cyl_bessel_j (integer order)

2.59
(275ns)

1.00
(106ns)

cyl_bessel_k

6.86
(4589ns)

1.00
(669ns)

cyl_bessel_k (integer order)

10.17
(3673ns)

1.00
(361ns)

cyl_neumann

2.48
(1478ns)

1.00
(597ns)

cyl_neumann (integer order)

2.20
(484ns)

1.00
(220ns)

digamma

1.92
(75ns)

1.00
(39ns)

ellint_1

1.94
(358ns)

1.00
(185ns)

ellint_1 (complete)

1.86
(52ns)

1.00
(28ns)

ellint_2

2.32
(805ns)

1.00
(347ns)

ellint_2 (complete)

1.71
(60ns)

1.00
(35ns)

ellint_3

2.75
(2154ns)

1.00
(783ns)

ellint_3 (complete)

2.23
(1172ns)

1.00
(525ns)

ellint_rc

1.57
(77ns)

1.00
(49ns)

ellint_rd

2.23
(520ns)

1.00
(233ns)

ellint_rf

1.51
(95ns)

1.00
(63ns)

ellint_rj

2.33
(481ns)

1.00
(206ns)

erf

2.60
(39ns)

1.00
(15ns)

erfc

2.68
(59ns)

1.00
(22ns)

expint

2.47
(94ns)

1.00
(38ns)

expint (En)

1.86
(273ns)

1.00
(147ns)

expm1

1.00
(10ns)

1.10
(11ns)

gamma_p

2.42
(492ns)

1.00
(203ns)

gamma_p_inv

2.24
(1577ns)

1.00
(704ns)

gamma_q

2.53
(508ns)

1.00
(201ns)

gamma_q_inv

2.45
(1841ns)

1.00
(751ns)

ibeta

2.71
(1715ns)

1.00
(634ns)

ibeta_inv

2.58
(5742ns)

1.00
(2224ns)

ibetac

2.66
(1736ns)

1.00
(653ns)

ibetac_inv

2.44
(5451ns)

1.00
(2237ns)

jacobi_cn

2.77
(476ns)

1.00
(172ns)

jacobi_dn

2.80
(481ns)

1.00
(172ns)

jacobi_sn

2.86
(492ns)

1.00
(172ns)

laguerre

1.09
(139ns)

1.00
(128ns)

legendre

1.16
(399ns)

1.00
(345ns)

legendre Q

1.18
(496ns)

1.00
(422ns)

lgamma

2.20
(257ns)

1.00
(117ns)

log1p

1.00
(12ns)

1.00
(12ns)

polygamma

3.93
(2885ns)

1.00
(734ns)

sph_bessel

1.71
(1563ns)

1.00
(915ns)

sph_neumann

2.15
(3745ns)

1.00
(1744ns)

tgamma

3.69
(354ns)

1.00
(96ns)

tgamma (incomplete)

2.35
(744ns)

1.00
(316ns)

trigamma

1.64
(36ns)

1.00
(22ns)

zeta

2.71
(509ns)

1.00
(188ns)



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