Intel(R) Math Kernel Library 10.0

Performance of VML (Non-Threaded) Functions

 

Real Functions

Functions Intel(R) Xeon(R) processor 5100 Series 45nm Intel(R) Core(TM)2 Duo Processor Intel(R) Itanium(R) 2 processor
single double single double single double
HA LA EP HA LA EP HA LA EP HA LA EP HA LA EP HA LA EP
Inv 4.36 3.06 1.37 10.12 6.70 6.50 3.10 1.96 1.36 5.70 5.70 5.70 3.13 3.13 3.13 4.34 4.14 4.14
Div 4.35 2.45 1.95 9.45 9.45 9.45 3.18 2.42 1.94 7.52 7.49 7.49 4.63 4.63 4.63 5.57 5.37 5.37
Sqrt 5.46 2.51 2.07 17.34 13.90 13.90 3.29 2.50 2.05 8.87 8.87 8.87 5.14 5.14 5.14 7.38 7.17 7.17
InvSqrt 3.85 2.21 1.29 13.42 11.17 11.16 7.69 2.21 1.27 11.72 9.67 9.67 5.14 5.14 5.14 6.36 6.16 6.16
Cbrt 10.76 7.33 5.31 22.80 18.89 18.86 9.29 7.25 5.29 21.80 16.90 16.88 7.18 7.18 7.18 10.44 10.23 10.23
InvCbrt 14.06 9.69 6.30 27.34 18.70 18.51 12.40 8.94 6.98 25.96 17.34 17.34 7.20 7.20 7.20 9.42 9.21 9.21
Pow 24.87 24.87 24.86 54.24 54.24 54.24 22.75 22.75 22.75 54.61 50.22 50.22 11.31 11.31 11.31 21.52 21.49 21.49
Powx 24.97 23.86 23.86 50.63 50.63 50.63 24.31 21.70 21.64 46.60 46.60 46.60 9.47 9.47 9.47 21.78 21.78 21.78
Exp 6.92 6.62 4.31 13.79 10.90 8.58 6.10 5.60 4.36 13.74 10.72 8.35 4.16 4.16 4.16 6.52 6.24 6.21
Ln 11.25 9.29 5.35 21.02 17.78 17.78 10.19 8.42 5.34 16.24 16.09 16.09 5.14 5.14 5.14 6.18 6.18 6.18
Log10 10.76 9.54 5.34 18.82 18.82 18.82 10.45 8.53 5.30 16.85 16.81 16.81 5.15 5.14 5.14 6.19 6.18 6.18
Cos 9.25 7.30 6.20 24.54 24.37 16.00 8.17 6.59 6.31 22.39 22.39 14.29 7.19 7.19 7.19 9.30 9.22 9.22
Sin 10.27 6.36 5.36 25.98 25.95 15.50 8.47 6.22 5.36 24.10 24.10 14.60 6.17 6.17 6.17 8.41 8.20 8.20
SinCos 18.54 10.38 8.82 34.53 29.26 24.30 16.81 9.76 8.64 30.67 26.48 22.66 8.22 8.22 8.22 11.44 11.23 11.23
Tan 19.65 10.18 9.62 54.78 30.23 29.92 14.99 9.22 8.45 45.74 24.98 24.88 9.23 9.23 9.23 11.47 11.28 11.26
Acos 15.79 8.93 6.92 39.84 29.74 29.74 16.10 7.32 6.94 36.34 22.87 22.87 10.22 10.22 10.22 11.17 11.17 11.17
Asin 10.90 9.71 5.82 39.10 39.10 33.47 9.90 7.16 5.83 34.94 24.60 24.60 10.22 10.22 10.22 11.18 11.18 11.18
Atan 15.88 7.94 5.12 36.99 36.98 36.96 14.53 7.34 4.90 31.88 31.88 31.88 9.13 9.13 9.13 13.52 13.31 13.31
Atan2 36.29 14.37 11.02 74.75 74.75 74.75 33.43 14.05 11.65 72.60 67.00 66.90 12.95 12.33 12.33 17.86 17.64 17.64
Cosh 11.89 9.52 7.86 22.84 20.20 19.81 9.38 8.05 7.34 21.11 19.27 17.90 7.20 7.20 7.20 8.14 8.14 8.14
Sinh 18.03 10.13 7.78 24.30 21.72 21.72 15.85 8.28 6.68 22.08 20.44 18.86 7.19 7.19 7.19 8.14 8.14 8.14
Tanh 16.86 12.91 11.06 33.26 30.55 30.55 15.53 12.08 10.04 33.18 32.51 29.89 6.70 6.69 6.68 10.90 10.73 10.73
Acosh 14.05 14.05 8.66 83.77 45.37 45.32 10.91 10.91 7.98 93.02 29.22 27.00 13.27 13.27 13.27 18.57 18.35 18.35
Asinh 14.39 13.79 7.56 84.20 52.13 51.91 10.50 10.50 7.52 77.29 32.24 30.16 14.36 14.36 14.36 18.65 18.43 18.43
Atanh 19.73 11.83 8.55 48.20 41.85 41.85 19.30 11.66 8.63 40.32 40.32 38.45 12.31 12.31 12.31 19.59 19.36 19.36
Erf 16.86 12.98 5.84 34.21 30.55 30.55 16.21 12.88 5.84 32.03 30.02 30.00 6.38 6.38 6.38 10.89 10.73 10.73
Erfc 29.18 22.94 11.24 63.12 51.06 45.13 28.84 20.90 10.37 62.83 41.33 41.24 8.44 8.42 8.42 16.74 16.44 16.44
Floor 2.26 2.26 2.26 4.17 4.17 4.17 2.12 2.12 2.12 1.92 1.92 1.92 2.06 2.06 2.06 2.06 2.06 2.06
Ceil 2.26 2.26 2.26 4.17 4.17 4.17 1.04 1.04 1.04 1.92 1.92 1.92 2.06 2.06 2.06 2.06 2.06 2.06
Round 2.92 2.92 2.92 5.74 5.74 5.74 2.23 2.23 2.23 4.36 4.36 4.36 50.10 50.10 50.10 55.65 55.65 55.65
Rint 2.23 2.23 2.23 4.06 4.06 4.06 0.94 0.94 0.94 1.80 1.80 1.80 2.06 2.06 2.06 2.05 2.05 2.05
NearbyInt 2.15 2.15 2.15 4.09 4.09 4.09 0.94 0.94 0.94 1.80 1.80 1.80 2.05 2.05 2.05 2.05 2.05 2.05
Modf 2.77 2.77 2.77 5.44 5.44 5.44 2.78 2.78 2.78 5.46 5.46 5.46 49.03 49.03 49.03 54.08 54.08 54.08
Trunc 2.22 2.22 2.22 4.27 4.27 4.27 1.04 1.04 1.04 1.92 1.92 1.92 2.05 2.05 2.05 2.06 2.06 2.06
ErfInv 18.66 8.86 8.83 52.62 30.85 13.11 16.40 7.15 7.15 46.67 27.34 12.40 65.54 64.48 61.88 80.82 79.56 79.56
Hypot 12.84 12.84 11.99 32.14 32.14 32.14 10.74 10.74 10.74 29.89 27.66 27.47 6.17 6.17 6.17 8.50 8.30 8.30
Abs 1.80 1.80 1.80 2.19 2.19 2.19 1.79 1.79 1.79 2.10 2.10 2.10 0.82 0.82 0.82 0.88 0.88 0.88
Add 0.81 0.81 0.81 1.56 1.56 1.56 0.79 0.79 0.79 1.54 1.54 1.54 1.33 1.33 1.33 1.66 1.66 1.66
Sub 0.81 0.81 0.81 1.56 1.56 1.56 0.79 0.79 0.79 1.54 1.54 1.54 1.33 1.33 1.33 1.66 1.66 1.66
Mul 0.81 0.81 0.81 1.56 1.56 1.56 0.79 0.79 0.79 1.54 1.54 1.54 1.33 1.33 1.33 1.66 1.66 1.66
Sqr 0.42 0.42 0.42 0.68 0.68 0.68 0.42 0.42 0.42 0.67 0.67 0.67 1.16 1.16 1.16 1.40 1.40 1.40
Expm1 34.61 34.61 34.60 55.52 34.78 34.78 31.22 31.22 31.22 55.58 31.40 31.40 158.17 157.88 157.88 121.75 121.75 121.75
Log1p 37.95 36.66 36.66 39.10 39.10 39.06 37.70 34.52 34.52 36.68 35.04 35.04 147.46 147.46 147.46 141.73 141.50 141.45
Pow3o2 9.16 5.98 2.98 28.06 18.61 15.13 8.45 5.47 2.94 23.99 16.28 13.66 27.11 27.11 27.11 10.00 10.00 10.00
Pow2o3 15.09 7.54 5.59 34.70 34.70 20.38 13.50 6.88 5.52 31.76 31.39 18.13 66.22 66.22 66.22 66.20 66.20 66.20

 

 

Complex Functions

 

Functions Intel(R) Xeon(R) processor 5100 Series 45nm Intel(R)
Core(TM)2 Duo Processor		 Intel(R) Itanium(R) 2 processor
single double single double single double
HA LA EP HA LA EP HA LA EP HA LA EP HA LA EP HA LA EP
Cos 539.46 539.46 539.46 516.78 516.64 516.64 498.02 498.02 498.02 476.94 476.60 476.60 588.03 587.97 587.97 533.36 533.36 533.36
Sin 567.86 567.86 567.86 539.97 539.34 539.34 565.98 565.37 565.37 538.08 537.50 537.50 642.03 641.68 641.68 590.68 590.68 590.68
Tan 641.18 641.18 641.18 613.40 613.40 613.40 562.52 562.52 562.52 538.94 538.94 538.94 647.02 646.93 646.93 603.21 602.40 602.40
Cosh 498.00 497.95 497.95 467.75 467.75 467.75 497.65 497.42 497.42 430.73 430.73 430.73 527.26 527.06 527.06 477.95 477.95 477.95
Sinh 497.58 497.58 497.58 467.90 467.90 467.90 458.28 458.28 458.28 433.60 432.22 432.22 532.17 532.01 532.01 487.62 487.62 487.62
Tanh 573.19 573.19 573.19 547.02 547.02 547.02 501.61 501.61 501.61 516.64 516.59 516.59 537.96 537.70 537.70 499.79 499.79 499.79
Acos 1.27E+03 1.27E+03 1.27E+03 1.24E+03 1.24E+03 1.24E+03 1.22E+03 1.12E+03 1.12E+03 1.10E+03 1.10E+03 1.10E+03 1.52E+03 1.52E+03 1.52E+03 1.48E+03 1.48E+03 1.48E+03
Asin 1.36E+03 1.36E+03 1.36E+03 1.34E+03 1.32E+03 1.32E+03 1.32E+03 1.23E+03 1.23E+03 1.19E+03 1.19E+03 1.19E+03 1.61E+03 1.61E+03 1.61E+03 1.56E+03 1.55E+03 1.55E+03
Atan 661.46 656.89 656.89 635.58 635.58 635.58 588.94 588.94 588.94 558.05 558.05 558.05 959.83 959.04 959.04 920.27 920.27 920.27
Acosh 1.27E+03 1.27E+03 1.27E+03 1.25E+03 1.24E+03 1.24E+03 1.22E+03 1.21E+03 1.21E+03 1.10E+03 1.10E+03 1.10E+03 1.51E+03 1.50E+03 1.50E+03 1.46E+03 1.46E+03 1.46E+03
Asinh 1.26E+03 1.25E+03 1.25E+03 1.23E+03 1.23E+03 1.23E+03 1.13E+03 1.13E+03 1.13E+03 1.11E+03 1.10E+03 1.10E+03 1.49E+03 1.48E+03 1.48E+03 1.45E+03 1.44E+03 1.44E+03
Atanh 597.04 597.04 597.04 547.58 547.38 547.38 569.29 568.56 568.56 478.19 477.97 477.97 848.72 848.64 848.64 817.81 817.81 817.81
Exp 61.09 20.52 20.52 74.29 74.28 74.28 56.99 18.30 18.30 68.80 68.80 68.80 11.21 11.21 11.21 15.16 15.16 15.16
Ln 76.54 47.33 47.33 141.41 141.36 141.36 65.89 39.76 39.76 123.44 123.22 123.22 21.21 21.21 21.21 27.24 27.24 27.24
Log10 615.35 604.89 604.89 567.22 564.63 564.63 526.61 526.61 526.61 532.73 490.90 490.90 796.42 795.96 795.96 747.66 747.66 747.66
Sqrt 59.60 24.54 24.54 179.62 177.76 177.76 30.85 23.35 23.35 164.15 162.24 162.24 11.17 11.17 11.17 15.19 15.19 15.19
Pow 1.07E+03 1.07E+03 1.07E+03 1.05E+03 1.04E+03 1.04E+03 956.41 956.41 956.41 936.16 933.25 933.25 1.49E+03 1.49E+03 1.49E+03 1.47E+03 1.47E+03 1.47E+03
Powx 1.07E+03 1.07E+03 1.07E+03 1.04E+03 1.04E+03 1.04E+03 1.04E+03 956.50 956.50 932.29 932.29 932.29 1.49E+03 1.49E+03 1.49E+03 1.45E+03 1.44E+03 1.44E+03
Abs 13.23 13.22 13.22 32.62 32.56 32.56 12.31 12.31 12.31 27.74 27.74 27.74 7.64 7.14 7.14 12.78 12.78 12.78
Add 4.05 4.05 4.05 7.14 7.14 7.14 4.03 4.03 4.03 7.20 7.20 7.20 3.54 3.54 3.54 3.47 3.47 3.47
Sub 4.04 4.04 4.04 7.15 7.15 7.15 4.03 4.03 4.03 7.20 7.20 7.20 3.54 3.54 3.54 3.47 3.47 3.47
Mul 11.67 11.52 11.52 64.14 63.66 63.66 10.46 10.46 10.46 56.75 56.75 56.75 21.79 21.79 21.79 50.12 50.12 50.12
Div 19.18 18.81 18.81 94.47 92.36 92.36 16.87 16.87 16.87 78.77 78.77 78.77 31.14 31.12 31.12 34.13 34.13 34.13
MulByConj 11.42 11.18 11.18 61.46 61.46 61.46 10.54 10.52 10.52 53.66 53.66 53.66 21.79 21.79 21.79 50.12 50.12 50.12
CIS 19.18 19.00 19.00 36.26 35.66 35.66 17.11 16.87 16.87 34.94 34.49 34.49 116.86 116.08 116.08 112.54 112.54 112.54
Conj 3.04 3.04 3.04 3.42 3.42 3.42 3.02 3.02 3.02 3.40 3.40 3.40 2.39 2.39 2.39 2.04 2.04 2.04
 


Notes:
1) Units - CPE (Clocks per Element)
2) Data - vectors of 1000 elements with random generated numbers

 

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