
List of Tables
2.1 The binary encodings for 8-bit floating-point numbers . . . 35
2.2 Quantities of interest for
binary8 ................ 36
2.3 Quantities of interest for
binary16 ............... 38
2.4 Quantities of interest for
binary32 ............... 40
2.5 Quantities of interest for
binary64 ............... 43
3.1 SIMDcomparisonoperators .................. 99
3.2 SIMDarithmeticoperators................... 100
3.3 Inverse square root accuracy and performance . . . . . . . . 111
3.4 Minimax polynomial approximations to
√
1+x ....... 115
3.5 Minimax polynomial approximations to f(x)=1/
√
1+x . . 115
3.6 Minimax polynomial approximations to f(x)=sin(x) . . . ...