benchmarks/timebench2.results

   1 A.
   2
   3 Timings on Linux i486 33 MHz
   4
   5 N=100
   6
   7 Function            LiDIA/libI  LiDIA/cln     Pari       CLN-1996-11-17
   8  multiplication       0.00046     0.00042     0.001      0.00042
   9  division             0.00041     0.00034     0.001      0.00033
  10  isqrt                0.026       0.00013     0.002      0.00013
  11  gcd                  0.00595     0.00170     0.009      0.00169
  12
  13 N=1000
  14
  15 Function            LiDIA/libI  LiDIA/cln     Pari       CLN-1996-11-17
  16  multiplication       0.022       0.019       0.2        0.019
  17  division             0.021       0.019       0.15       0.019
  18  isqrt                6.49        0.002       0.1        0.002
  19  gcd                  0.166       0.070       0.5        0.071
  20
  21 N=10000
  22
  23 Function            LiDIA/libI  LiDIA/cln     Pari       CLN-1996-11-17
  24  multiplication       2.22        0.72        7          0.72
  25  division             1.98        1.39        3.8        1.38
  26  isqrt             5509           0.17       12.1        0.17
  27  gcd                 38.9         5.4         ---        5.4
  28
  29 N=100000
  30
  31 Function            LiDIA/libI  LiDIA/cln     Pari       CLN-1996-11-17
  32  multiplication                                          6.9
  33  division                                               20.4
  34  isqrt                                                  10.2
  35  gcd                                                   428
  36
  37 Timings on Darwin PowerPC G4 1066 MHz
  38
  39 N = 100
  40
  41 Function            CLN-1.1.8   CLN-1.1.8
  42                      no gmp     gmp-4.1.2
  43  multiplication     0.0000069   0.0000066
  44  division           0.0000047   0.0000047
  45  isqrt              0.0000024   0.0000024
  46  gcd                0.0000163   0.0000163
  47
  48 N = 1000
  49
  50 Function            CLN-1.1.8   CLN-1.1.8
  51                      no gmp     gmp-4.1.2
  52  multiplication     0.000197    0.000192
  53  division           0.000179    0.000179
  54  isqrt              0.000021    0.000021
  55  gcd                0.000603    0.000600
  56
  57 N = 10000
  58
  59 Function            CLN-1.1.8   CLN-1.1.8
  60                      no gmp     gmp-4.1.2
  61  multiplication     0.0082      0.0081
  62  division           0.0156      0.0155
  63  isqrt              0.0009      0.0010
  64  gcd                0.0449      0.0445
  65
  66 N = 100000
  67
  68 Function            CLN-1.1.8   CLN-1.1.8
  69                      no gmp     gmp-4.1.2
  70  multiplication     0.087       0.087
  71  division           0.27        0.27
  72  isqrt              0.132       0.133
  73  gcd                3.28        3.26
  74
  75
  76 A'.
  77
  78 Timings on Linux i486 33 MHz
  79
  80                     LiDIA/libI  LiDIA/cln     Pari       CLN-1996-11-17
  81 N=100                                         0.2        0.07
  82 N=200                                         1.4        0.70
  83 N=1000                                      525        271
  84
  85 Timings on Darwin PowerPC G4 1066 MHz
  86
  87 Function            CLN-1.1.8   CLN-1.1.8
  88                      no gmp     gmp-4.1.2
  89 N=1000              2.72        2.74
  90
  91 B.
  92
  93 Timings on Linux i486 33 MHz
  94
  95 N=100
  96
  97 Function            LiDIA/libI  LiDIA/cln     Pari       CLN-1997-02-08
  98  multiplication       0.00054     0.00058     0.000      0.00026
  99  sqrt                 0.0033      0.0040      0.002      0.00028
 100  pi                   0.01        0.02        0.005      0
 101  eulerconst           0.27        0.40        0.12       0.17
 102  e                    0.02        0.01        0.011      0
 103  exp                  0.021       0.025       0.012      0.014
 104  log                  0.041       0.051       0.021      0.014
 105  sin                  0.021       0.028       0.014      0.013
 106  cos                  0.021       0.027       0.012      0.012
 107  asin                 0.072       0.081       0.047      0.015
 108  acos                 0.073       0.081       0.048      0.016
 109  atan                 0.067       0.076       0.039      0.014
 110  sinh                 0.022       0.025       0.012      0.014
 111  cosh                 0.022       0.025       0.012      0.014
 112  asinh                0.045       0.056       0.026      0.013
 113  acosh                0.048       0.060       0.029      0.015
 114  atanh                0.049       0.061       0.028      0.015
 115
 116 N=1000
 117
 118 Function            LiDIA/libI  LiDIA/cln     Pari       CLN-1997-02-08
 119  multiplication       0.013       0.010       0.018      0.010
 120  sqrt                 0.048       0.042       0.049      0.011
 121  pi                   0.28        0.25        0.174      0.12
 122  eulerconst          10.0         9.4         7.6        4.6
 123  e                    0.12        0.09        1.19       0.06
 124  exp                  1.11        0.73        1.33       0.70
 125  log                  1.48        1.28        1.81       0.65
 126  sin                  0.76        0.66        1.56       0.51
 127  cos                  0.75        0.65        1.62       0.49
 128  asin                 3.03        2.52        4.10       0.84
 129  acos                 3.03        2.52        4.10       0.84
 130  atan                 2.93        2.44        3.96       0.79
 131  sinh                 1.11        0.73        1.31       0.71
 132  cosh                 1.11        0.73        1.31       0.71
 133  asinh                1.60        1.40        1.89       0.65
 134  acosh                1.65        1.44        1.98       0.73
 135  atanh                1.60        1.40        1.88       0.69
 136
 137 N=10000
 138
 139 Function            LiDIA/libI  LiDIA/cln     Pari       CLN-1997-02-08
 140  multiplication       0.51        0.36        1.75       0.37
 141  sqrt                 4.58        3.36        5.6        0.95
 142  pi                  23.8        17.8        16.7        6.0
 143  eulerconst        1045         817        1128        327
 144  e                    5.5         3.30      360          2.39
 145  exp                130          75.1       373         40.2
 146  log                301         224         562         32.3
 147  sin                 83.6        61.9       475         53.4
 148  cos                 83.5        61.7       474         52.1
 149  asin               866         567        1281         72.4
 150  acos               865         567        1282         72.4
 151  atan               860         561        1274         69.9
 152  sinh               130          75.1       378         41.5
 153  cosh               129          75.1       377         41.4
 154  asinh              313         232         578         31.1
 155  acosh              311         231         583         36.9
 156  atanh              314         233         573         36.6
 157
 158 N=100000
 159
 160 Function            LiDIA/libI  LiDIA/cln     Pari       CLN-1996-11-17
 161  multiplication      19.3         4.63                   4.58
 162  sqrt               298          55.8                   19.5
 163  pi                             199                    122
 164  eulerconst                                           6952
 165  e                                                      42
 166  exp                                                   860
 167  log                                                   735
 168  sin                                                  1483
 169  cos                                                  1571
 170  asin                                                 1440
 171  acos                                                 1441
 172  atan                                                 1407
 173  sinh                                                  877
 174  cosh                                                  877
 175  asinh                                                 758
 176  acosh                                                 813
 177  atanh                                                 813
 178
 179 Versions:
 180   LiDIA 1.2.1 with libI
 181   LiDIA 1.2.1 with cln-1996-11-17 (based on gmp 2.0.2)
 182   Pari 1.39
 183   cln-1997-02-08 and cln-1996-11-17 (both based on gmp 2.0.2)