Average Error: 0.0 → 0.0
Time: 2.2s
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 r82737 = re;
        double r82738 = exp(r82737);
        double r82739 = im;
        double r82740 = cos(r82739);
        double r82741 = r82738 * r82740;
        return r82741;
}
↓
double f(double re, double im) {
        double r82742 = re;
        double r82743 = exp(r82742);
        double r82744 = im;
        double r82745 = cos(r82744);
        double r82746 = r82743 * r82745;
        return r82746;
}

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 2019352 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))