Average Error: 0.0 → 0.0
Time: 11.8s
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 r55578 = re;
        double r55579 = exp(r55578);
        double r55580 = im;
        double r55581 = cos(r55580);
        double r55582 = r55579 * r55581;
        return r55582;
}
↓
double f(double re, double im) {
        double r55583 = re;
        double r55584 = exp(r55583);
        double r55585 = im;
        double r55586 = cos(r55585);
        double r55587 = r55584 * r55586;
        return r55587;
}

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 2019291 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))