Average Error: 0.0 → 0.0
Time: 19.4s
Precision: 64
\[e^{re} \cdot \cos im\]
↓
\[e^{re} \cdot \cos im\]
e^{re} \cdot \cos im
↓
e^{re} \cdot \cos im
double f(double re, double im) {
        double r35028 = re;
        double r35029 = exp(r35028);
        double r35030 = im;
        double r35031 = cos(r35030);
        double r35032 = r35029 * r35031;
        return r35032;
}
↓
double f(double re, double im) {
        double r35033 = re;
        double r35034 = exp(r35033);
        double r35035 = im;
        double r35036 = cos(r35035);
        double r35037 = r35034 * r35036;
        return r35037;
}

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

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

Reproduce

herbie shell --seed 2019323 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))