Average Error: 0.0 → 0.0
Time: 11.3s
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 r1754852 = re;
        double r1754853 = exp(r1754852);
        double r1754854 = im;
        double r1754855 = cos(r1754854);
        double r1754856 = r1754853 * r1754855;
        return r1754856;
}
↓
double f(double re, double im) {
        double r1754857 = im;
        double r1754858 = cos(r1754857);
        double r1754859 = re;
        double r1754860 = exp(r1754859);
        double r1754861 = r1754858 * r1754860;
        return r1754861;
}

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 2019172 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))