Average Error: 0 → 0
Time: 1.1s
Precision: binary64
\[\mathsf{copysign}\left({\left(\left|speed\right|\right)}^{exponent}, speed\right)\]
↓
\[\mathsf{copysign}\left({\left(\left|speed\right|\right)}^{exponent}, speed\right)\]
\mathsf{copysign}\left({\left(\left|speed\right|\right)}^{exponent}, speed\right)
↓
\mathsf{copysign}\left({\left(\left|speed\right|\right)}^{exponent}, speed\right)
double code(double speed, double exponent) {
	return ((double) copysign(((double) pow(((double) fabs(speed)), exponent)), speed));
}
↓
double code(double speed, double exponent) {
	return ((double) copysign(((double) pow(((double) fabs(speed)), exponent)), speed));
}

Error

Bits error versus speed

Bits error versus exponent

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\mathsf{copysign}\left({\left(\left|speed\right|\right)}^{exponent}, speed\right)\]

  2. Final simplification0

    \[\leadsto \mathsf{copysign}\left({\left(\left|speed\right|\right)}^{exponent}, speed\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (speed exponent)
  :name "(copysign (pow (fabs speed) exponent) speed)"
  :precision binary64
  (copysign (pow (fabs speed) exponent) speed))