Average Error: 0.0 → 0.0
Time: 11.4s
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 r1400848 = re;
        double r1400849 = exp(r1400848);
        double r1400850 = im;
        double r1400851 = cos(r1400850);
        double r1400852 = r1400849 * r1400851;
        return r1400852;
}
↓
double f(double re, double im) {
        double r1400853 = im;
        double r1400854 = cos(r1400853);
        double r1400855 = re;
        double r1400856 = exp(r1400855);
        double r1400857 = r1400854 * r1400856;
        return r1400857;
}

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 2019200 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))