Complex Operations#

The table below lists the costs for standard single-precision, floating-point functions. For OpenCL, it assumes the -cl-fast-relaxed-math compilation flag.

A low cost represents less than 30 hardware instructions, and a high cost represents more than 100 instructions. 30 to 100 instructions is considered a medium cost.

Function	Cost
`x+y`	Low
`x*y`	Low
`x/y`	Low
`1/x`	Low
`rsqrt(x), 1/sqrt(x)`	Low
`sqrt(x)`	Low
`cbrt(x)`	Low
`hypot(x)`	Medium
`exp(x)`	Medium
`exp2(x)`	Low
`exp10(x)`	Medium
`expml(x)`	Medium
`log(x)`	Low
`log2(x)`	Low
`log10(x)`	Low
`loglp(x)`	High
`sin(x)`	Low
`cos(x)`	Low
`tan(x)`	High
`sincos(x, cptr)`	Medium
`asin(x)`	Medium
`acos(x)`	Medium
`atan(x)`	Low
`atan2(y,x)`	Medium
`sinh(x)`	Medium
`cosh(x)`	Medium
`tanh(x)`	Medium
`asinh(x)`	High
`acosh(x)`	High
`atanh(x)`	High
`pow(x,y)`	High
`fma(x,y,z)`	Low
`frexp(x,exp)`	Low
`ldexp(x,exp)`	Medium
`logb(x)`	Low
`ilogb(x)`	Low
`fmod(x,y)`	Medium
`remainder(x,y)`	High
`remquo(x,y,iptr)`	High
`modf(x,iptr)`	Low
`fdim(x,y)`	Low
`trunc(x)`	Low
`round(x)`	Low
`rint(x)`	Low
`ceil(x)`	Low
`floor(x)`	Low
`asinpi(x)`	Medium
`acospi(x)`	Medium
`atanpi(x)`	Low
`atan2pi(x,y)`	Medium
`copysign(x,y)`	Low
`sinpi(x)`	Medium
`cospi(x)`	Medium
`tanpi(x)`	Medium
`fabs(x)`	Low
`fmax(x,y)`	Low
`fmin(x,y)`	Low
`fract(x,ptr)`	Low
`hypot(x,y)`	Medium
`ldexp(x,y)`	Medium
`mad(x,y,z)`	Low
`maxmag(x,y)`	Low
`minmag(x,y)`	Low
`nan(x)`	Low
`nextafter(x,y)`	Low
`powr(x,y)`	High
`pown(x,y)`	High
`rootn(x,y)`	High
`signbit(x)`	Low