5. Symbolic computations

5.1. Expansion of a polynomial

Function \ Computer

Timing in seconds

Toshiba Satellite U500-1DV, Intel Core i5 M430, 2.27 GHz, 1.06 GHz FSB, 4 GB, Win. 7 Home Premium (64 Bit)  [25]

12.870

Pentium Centrino, M760, 2 GHz, 2 GB, Win. XP Prof. [24]

20.187

ASUS A8V_2E, AMD64 3200, 2.4 GHz, 2 GB, Centos 4.0 X86_64 [22]

24.343

Apple Power Mac G5 (dual), 2.5 GHz, 2 GB, Mac OS 10.3.6 [18]

38.640

Sony VAIO PCG-Z1SP, Pentium M/Centrino, 1.5 GHz, 1 GB, Win. XP [8]

38.736

Dell GX270, Pentium IV, 2.6 GHz, 1GB, Win. XP [21]

40.594

HP Evo D530, Pentium IV, 3 GHz, 2 GB, Win. XP Prof. [10]

41.000

Apple Mac G4 (dual), 2.5 GHz, 4 GB, Mac OS X 10.4.2 [23]

41.229

Apple Power Mac G5 (dual), 2.5 GHz, 512k Cache, 4.5 GB, Mac OS X 10.3.4 [15]

43.650

Apple Power Mac G5 (dual), 2.5 GHz, 512k Cache, 4 GB, Mac OS X 10.3.4 [16]

44.240

Compaq Evo D510, Pentium IV, 2.8 GHz, 1 GB, Win. XP [7]

46.360

AMD 2800+ (Barton), 2.08 GHz / 333 MHz FSB, 512k Cache, 1 GB, Win. XP [19]

46.640

Dell GX270, Pentium IV, 2.6 GHz, 1GB, Win. XP [20]

46.985

AMD 2800+ (Barton), 2.08 GHz / 333 MHz FSB, 512k Cache, 1 GB, Win. XP [1]

47.985

Apple Power Mac G5 (dual), 2 GHz / 1 GHz FSB, 512k Cache, 1 GB, Mac OS X 10.3.4 [14]

51.890

Gateway 700XL, Pentium IV, 2.2 GHz, 512k Cache, 1 GB, Win. XP [9]

57.641

AMD Athlon XP 1800+, 1.53 GHz, 1GB, Win. XP Home. [5]

58.906

ASUS N266-E, AMD Athlon XP 1800+, 1.53 GHz, 1GB, Win. 200 Prof.. [12]

61.171

AMD Athlon XP 1700+, 1.47 GHz / 266 MHz FSB,256k Cache, 768MB, Win. 2000 Prof. [6]

67.958

Apple Powerbook G4, 1 GHz, 1 GB, Mac OS 10.3.7 [17]

80.480

Apple Powerbook G4 17", 1GHz, 1GB, Mac OS X 10.2.6 [4]

91.370

Compaq Deskpro EN PIII, 864 MHz, 384MB, Win. 2000 Prof. [2]

97.157

Compaq Evo W6000 (Xeon), 1.4 GHz / 400 MHz FSB, 256k Cache, 1 GB, Win. 2000 Prof. [11]

99.422

Compaq Deskpro EN PIII, 800 MHz, 256k Cache, 512MB, Win. 2000 Prof. [3]

115.062

Apple Powerbook G4, 867 MHz, 640 MB, Mac OS X 10.3.4 [13]

117.740

5.2. Computation of a multidimensional Laplace transformation

Function \ Computer

Timing in seconds

ASUS A8V_2E, AMD64 3200, 2.4 GHz, 2 GB, Centos 4.0 X86_64 [22]

0.092

Pentium Centrino, M760, 2 GHz, 2 GB, Win. XP Prof. [24]

0.109

Toshiba Satellite U500-1DV, Intel Core i5 M430, 2.27 GHz, 1.06 GHz FSB, 4 GB, Win. 7 Home Premium (64 Bit)  [25]

0.125

AMD 2800+ (Barton), 2.08 GHz / 333 MHz FSB, 512k Cache, 1 GB, Win. XP [19]

0.125

Apple Power Mac G5 (dual), 2.5 GHz, 2 GB, Mac OS 10.3.6 [18]

0.150

Dell GX270, Pentium IV, 2.6 GHz, 1GB, Win. XP [21]

0.156

Apple Mac G4 (dual), 2.5 GHz, 4 GB, Mac OS X 10.4.2 [23]

0.205

Apple Powerbook G4, 1 GHz, 1 GB, Mac OS 10.3.7 [17]

0.450

AMD 2800+ (Barton), 2.08 GHz / 333 MHz FSB, 512k Cache, 1 GB, Win. XP [1]

55.015

Apple Power Mac G5 (dual), 2.5 GHz, 512k Cache, 4.5 GB, Mac OS X 10.3.4 [15]

55.910

Apple Power Mac G5 (dual), 2.5 GHz, 512k Cache, 4 GB, Mac OS X 10.3.4 [16]

56.120

Apple Power Mac G5 (dual), 2 GHz / 1 GHz FSB, 512k Cache, 1 GB, Mac OS X 10.3.4 [14]

61.210

HP Evo D530, Pentium IV, 3 GHz, 2 GB, Win. XP Prof. [10]

76.484

Sony VAIO PCG-Z1SP, Pentium M/Centrino, 1.5 GHz, 1 GB, Win. XP [8]

76.770

Compaq Evo D510, Pentium IV, 2.8 GHz, 1 GB, Win. XP [7]

78.235

Dell GX270, Pentium IV, 2.6 GHz, 1GB, Win. XP [20]

81.547

ASUS N266-E, AMD Athlon XP 1800+, 1.53 GHz, 1GB, Win. 200 Prof.. [12]

85.313

Gateway 700XL, Pentium IV, 2.2 GHz, 512k Cache, 1 GB, Win. XP [9]

86.906

AMD Athlon XP 1800+, 1.53 GHz, 1GB, Win. XP Home. [5]

86.985

AMD Athlon XP 1700+, 1.5 GHz / 266 MHz FSB,256k Cache, 768MB, Win. 2000 Prof. [6]

89.098

Apple Powerbook G4, 867 MHz, 640 MB, Mac OS X 10.3.4 [13]

91.300

Apple Powerbook G4 17", 1GHz, 1GB, Mac OS X 10.2.6 [4]

104.910

Compaq Deskpro EN PIII, 800 MHz, 256k Cache, 512MB, Win. 2000 Prof. [3]

109.657

Compaq Evo W6000 (Xeon), 1.4 GHz / 400 MHz FSB, 256k Cache, 1 GB, Win. 2000 Prof. [11]

117.031

Compaq Deskpro EN PIII, 864 MHz, 384MB, Win. 2000 Prof. [2]

146.672