Average Error: 0.0 → 0.0
Time: 2.8s
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 r70078 = re;
        double r70079 = exp(r70078);
        double r70080 = im;
        double r70081 = cos(r70080);
        double r70082 = r70079 * r70081;
        return r70082;
}
↓
double f(double re, double im) {
        double r70083 = re;
        double r70084 = exp(r70083);
        double r70085 = im;
        double r70086 = cos(r70085);
        double r70087 = r70084 * r70086;
        return r70087;
}

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 2019318 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))