Average Error: 0.0 → 0.0
Time: 1.3s
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 r44491 = re;
        double r44492 = exp(r44491);
        double r44493 = im;
        double r44494 = cos(r44493);
        double r44495 = r44492 * r44494;
        return r44495;
}
↓
double f(double re, double im) {
        double r44496 = re;
        double r44497 = exp(r44496);
        double r44498 = im;
        double r44499 = cos(r44498);
        double r44500 = r44497 * r44499;
        return r44500;
}

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 2020046 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))