Average Error: 0.0 → 0.0
Time: 5.8s
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 r33116 = re;
        double r33117 = exp(r33116);
        double r33118 = im;
        double r33119 = cos(r33118);
        double r33120 = r33117 * r33119;
        return r33120;
}
↓
double f(double re, double im) {
        double r33121 = re;
        double r33122 = exp(r33121);
        double r33123 = im;
        double r33124 = cos(r33123);
        double r33125 = r33122 * r33124;
        return r33125;
}

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 2019308 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))