Average Error: 0.0 → 0.0
Time: 9.7s
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 r35584 = re;
        double r35585 = exp(r35584);
        double r35586 = im;
        double r35587 = cos(r35586);
        double r35588 = r35585 * r35587;
        return r35588;
}
↓
double f(double re, double im) {
        double r35589 = re;
        double r35590 = exp(r35589);
        double r35591 = im;
        double r35592 = cos(r35591);
        double r35593 = r35590 * r35592;
        return r35593;
}

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 2019347 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))