Average Error: 0.0 → 0.0
Time: 5.9s
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 r39662 = re;
        double r39663 = exp(r39662);
        double r39664 = im;
        double r39665 = cos(r39664);
        double r39666 = r39663 * r39665;
        return r39666;
}
↓
double f(double re, double im) {
        double r39667 = re;
        double r39668 = exp(r39667);
        double r39669 = im;
        double r39670 = cos(r39669);
        double r39671 = r39668 * r39670;
        return r39671;
}

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 2019303 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))