Average Error: 0.0 → 0.0
Time: 8.1s
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 r1123850 = re;
        double r1123851 = exp(r1123850);
        double r1123852 = im;
        double r1123853 = cos(r1123852);
        double r1123854 = r1123851 * r1123853;
        return r1123854;
}
↓
double f(double re, double im) {
        double r1123855 = im;
        double r1123856 = cos(r1123855);
        double r1123857 = re;
        double r1123858 = exp(r1123857);
        double r1123859 = r1123856 * r1123858;
        return r1123859;
}

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 2019107 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))