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 r31784 = re;
        double r31785 = exp(r31784);
        double r31786 = im;
        double r31787 = cos(r31786);
        double r31788 = r31785 * r31787;
        return r31788;
}
↓
double f(double re, double im) {
        double r31789 = re;
        double r31790 = exp(r31789);
        double r31791 = im;
        double r31792 = cos(r31791);
        double r31793 = r31790 * r31792;
        return r31793;
}

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 2019212 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))