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 r1754854 = re;
        double r1754855 = exp(r1754854);
        double r1754856 = im;
        double r1754857 = cos(r1754856);
        double r1754858 = r1754855 * r1754857;
        return r1754858;
}
↓
double f(double re, double im) {
        double r1754859 = im;
        double r1754860 = cos(r1754859);
        double r1754861 = re;
        double r1754862 = exp(r1754861);
        double r1754863 = r1754860 * r1754862;
        return r1754863;
}

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)))