Average Error: 0.0 → 0.0
Time: 6.5s
Precision: 64
\[e^{re} \cdot \cos im\]
↓
\[\cos im \cdot e^{re}\]
e^{re} \cdot \cos im
↓
\cos im \cdot e^{re}
double f(double re, double im) {
        double r1874665 = re;
        double r1874666 = exp(r1874665);
        double r1874667 = im;
        double r1874668 = cos(r1874667);
        double r1874669 = r1874666 * r1874668;
        return r1874669;
}
↓
double f(double re, double im) {
        double r1874670 = im;
        double r1874671 = cos(r1874670);
        double r1874672 = re;
        double r1874673 = exp(r1874672);
        double r1874674 = r1874671 * r1874673;
        return r1874674;
}

Error

Bits error versus re

Bits error versus im

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[e^{re} \cdot \cos im\]

  2. Final simplification0.0

    \[\leadsto \cos im \cdot e^{re}\]

Reproduce

herbie shell --seed 2019164 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))