Measured Accuracy of VML Functions
| Default processor | Intel® Pentium® III processor | Intel® Pentium® 4 processor | Intel® Pentium® 4 processor with Streaming SIMD Extensions 3 | Intel® Itanium® 2 processor | ||||||||||||||||
| float | double | float | double | float | double | float | double | float | double | |||||||||||
| HA | LA | HA | LA | HA | LA | HA | LA | HA | LA | HA | LA | HA | LA | HA | LA | HA | LA | HA | LA | |
| Inv | 0.5000 |
0.5000 |
0.5000 |
0.5000 |
0.4990 |
0.4990 |
0.5000 |
0.5000 |
0.4990 |
3.1000 |
0.5000 |
2.4700 |
0.4990 |
3.1000 |
0.5000 |
2.4700 |
0.5000 |
0.5000 |
0.5000 |
0.5000 |
| Div | 0.5000 |
0.5000 |
0.4990 |
0.4990 |
0.5000 |
0.5000 |
0.4990 |
0.4990 |
0.5000 |
3.5200 |
0.4990 |
0.4990 |
0.5000 |
3.5200 |
0.4990 |
0.4990 |
0.5000 |
0.5000 |
0.5000 |
0.5000 |
| Sqrt | 0.7294 |
0.7294 |
0.7028 |
0.7028 |
0.7294 |
0.7294 |
0.7028 |
0.7028 |
0.7294 |
3.1565 |
0.5003 |
1.8467 |
0.5041 |
2.5700 |
0.5003 |
1.4100 |
0.5000 |
0.5000 |
0.5000 |
0.5000 |
| InvSqrt | 0.9103 |
0.9103 |
0.7811 |
0.7811 |
0.9103 |
0.9103 |
0.7811 |
0.7811 |
0.9103 |
3.9613 |
0.5000 |
0.9764 |
0.9103 |
3.2500 |
0.5000 |
0.9690 |
0.5000 |
0.5000 |
0.5002 |
0.5002 |
| Cbrt | 0.5818 |
0.5818 |
0.6853 |
0.6853 |
0.5818 |
0.5818 |
0.6853 |
0.6853 |
0.9081 |
2.0242 |
0.5150 |
1.9600 |
0.9081 |
1.7600 |
0.5150 |
1.9600 |
0.5075 |
0.5075 |
0.5016 |
0.5016 |
| InvCbrt | 0.7930 |
0.7690 |
0.5700 |
0.5800 |
0.7830 |
0.8040 |
0.5700 |
0.5990 |
0.8550 |
0.9740 |
0.5110 |
2.1700 |
0.8550 |
0.9740 |
0.5110 |
2.1700 |
0.5010 |
0.5000 |
0.5000 |
0.5000 |
| Pow | 0.5000 |
2.4638 |
0.5270 |
1.4728 |
0.5000 |
2.4638 |
0.5910 |
1.4728 |
0.5576 |
0.5576 |
0.5200 |
2.5033 |
0.5576 |
0.5576 |
0.5200 |
1.8700 |
0.5084 |
0.5084 |
0.5002 |
0.5002 |
| Powx | 0.4990 |
0.4990 |
0.7080 |
0.8040 |
0.4990 |
0.4990 |
0.5650 |
0.6100 |
0.5250 |
0.5440 |
0.5050 |
0.5250 |
0.5250 |
0.5440 |
0.5050 |
0.5250 |
0.5000 |
0.4990 |
0.4980 |
0.5000 |
| Exp | 0.6103 |
0.6103 |
0.7872 |
0.7872 |
0.6103 |
0.6103 |
0.7872 |
0.7872 |
1.0000 |
1.9300 |
0.7418 |
3.5105 |
1.0000 |
1.6100 |
0.7418 |
2.3900 |
1.0000 |
1.0000 |
0.5216 |
0.5216 |
| Ln | 0.7197 |
0.7197 |
0.6712 |
0.6712 |
0.7197 |
0.7197 |
0.6712 |
0.6712 |
0.5301 |
1.1417 |
0.5665 |
3.0375 |
0.5301 |
0.5301 |
0.5665 |
0.5665 |
0.5123 |
0.5123 |
0.5113 |
0.5113 |
| Log10 | 0.6984 |
0.6984 |
0.9289 |
0.9289 |
0.6984 |
0.6984 |
0.9289 |
0.9289 |
0.7434 |
1.7048 |
0.5687 |
3.7011 |
0.7434 |
0.7434 |
0.5687 |
0.5687 |
0.5110 |
0.5110 |
0.5110 |
0.5110 |
| Cos | 0.8010 |
2.6102 |
0.9151 |
0.9151 |
0.8010 |
2.6102 |
0.9151 |
0.9151 |
0.8010 |
2.2860 |
0.5131 |
0.5131 |
0.8010 |
1.4900 |
0.5280 |
0.5280 |
0.5003 |
0.5003 |
0.5067 |
0.5067 |
| Sin | 0.8010 |
2.2491 |
0.9150 |
0.9150 |
0.8010 |
2.2491 |
0.9150 |
0.9150 |
0.8010 |
2.3455 |
0.5138 |
0.5138 |
0.8010 |
1.4100 |
0.5367 |
0.5367 |
0.5003 |
0.5003 |
0.5061 |
0.5061 |
| SinCos | 0.5621 |
1.3372 |
0.8201 |
0.8510 |
0.5621 |
1.3372 |
0.8201 |
0.8201 |
0.5621 |
1.7301 |
0.5187 |
1.7465 |
0.5621 |
1.4800 |
0.5367 |
1.2700 |
0.5017 |
0.5017 |
0.5005 |
0.5005 |
| Tan | 0.9352 |
2.8962 |
0.9735 |
2.1796 |
0.9352 |
2.8962 |
0.9735 |
2.1796 |
0.9352 |
2.8962 |
0.9735 |
3.4178 |
0.9352 |
2.3100 |
0.9735 |
2.9900 |
0.5006 |
0.5006 |
0.5012 |
0.5012 |
| Acos | 0.7873 |
2.5080 |
0.6415 |
0.6415 |
0.7873 |
2.5080 |
0.6415 |
0.6415 |
0.7780 |
2.5080 |
0.7680 |
3.1840 |
0.7780 |
2.3300 |
0.7680 |
3.1100 |
0.5041 |
0.5041 |
0.5083 |
0.5083 |
| Asin | 0.9245 |
2.2669 |
0.6504 |
0.6504 |
0.9245 |
2.2669 |
0.6504 |
0.6504 |
0.8255 |
2.2669 |
0.8140 |
2.1268 |
0.8255 |
1.9200 |
0.8140 |
1.8900 |
0.5045 |
0.5045 |
0.5108 |
0.5108 |
| Atan | 0.8595 |
3.6805 |
0.8454 |
0.8454 |
0.8595 |
3.6805 |
0.8454 |
0.8454 |
0.8595 |
3.6805 |
0.8454 |
3.7524 |
0.8595 |
2.4300 |
0.8454 |
2.0800 |
0.5026 |
0.5026 |
0.5015 |
0.5015 |
| Atan2 | 0.9528 |
3.8685 |
0.5773 |
0.5773 |
0.9528 |
3.8685 |
0.5773 |
0.5773 |
0.7961 |
3.0752 |
0.7448 |
3.9960 |
0.7961 |
2.9100 |
0.7448 |
3.2000 |
0.5030 |
0.5030 |
0.5015 |
0.5015 |
| Cosh | 0.6103 |
0.6103 |
0.8124 |
0.8124 |
0.6103 |
0.6103 |
0.8124 |
0.8124 |
0.7497 |
2.2114 |
0.7567 |
4.0363 |
0.7497 |
1.5200 |
0.7567 |
3.1900 |
0.5000 |
0.5000 |
0.5013 |
0.5013 |
| Sinh | 0.5000 |
0.5000 |
0.8884 |
0.8884 |
0.5000 |
0.5000 |
0.8884 |
0.8884 |
0.5039 |
3.5462 |
0.7659 |
3.2407 |
0.5039 |
1.7600 |
0.7659 |
1.0600 |
0.5074 |
0.5074 |
0.5114 |
0.5114 |
| Tanh | 0.7611 |
0.7611 |
0.8777 |
0.8777 |
0.7611 |
0.7611 |
0.8777 |
0.8777 |
0.5051 |
1.0159 |
0.5293 |
1.3478 |
0.5051 |
0.8010 |
0.7442 |
1.1900 |
0.5061 |
0.5061 |
0.5012 |
0.5012 |
| Acosh | 0.8753 |
0.8753 |
0.7507 |
0.7507 |
0.8753 |
0.8753 |
0.7507 |
0.7507 |
0.8753 |
3.0721 |
0.7507 |
3.0000 |
0.8753 |
1.7700 |
0.7507 |
2.4100 |
0.5112 |
0.5112 |
0.5220 |
0.5113 |
| Asinh | 0.8753 |
0.8753 |
0.8067 |
0.8067 |
0.8753 |
0.8753 |
0.8067 |
0.8067 |
0.8753 |
3.3657 |
0.8067 |
2.0193 |
0.8753 |
2.9700 |
0.8067 |
1.4600 |
0.5129 |
0.5129 |
0.5167 |
0.5167 |
| Atanh | 0.8305 |
0.8305 |
0.7484 |
0.7484 |
0.8305 |
0.8305 |
0.7484 |
0.7484 |
0.8245 |
2.7015 |
0.6508 |
3.1548 |
0.8245 |
1.7700 |
0.6508 |
2.0600 |
0.5113 |
0.5113 |
0.5214 |
0.5214 |
| Erf | 0.5000 |
0.5000 |
0.5012 |
0.5012 |
0.5000 |
0.5000 |
0.5012 |
0.5012 |
0.5079 |
1.4608 |
0.6220 |
1.3254 |
0.5079 |
1.4200 |
0.7944 |
1.1000 |
0.5124 |
0.5124 |
0.5028 |
0.5028 |
| Erfc | 0.5000 |
0.5000 |
0.5006 |
0.5006 |
0.5000 |
0.5000 |
0.5006 |
0.5006 |
0.5240 |
1.9229 |
0.5357 |
2.5685 |
0.5240 |
1.8900 |
0.5357 |
2.1700 |
0.5340 |
0.5340 |
0.5275 |
0.5275 |
Notes:
1) Units - ULP (Units in The Last Place)
2) 0 means X87 code for all IA-32 processors
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