Average Error: 0.0 → 0.0
Time: 13.4s
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 r40107 = re;
        double r40108 = exp(r40107);
        double r40109 = im;
        double r40110 = cos(r40109);
        double r40111 = r40108 * r40110;
        return r40111;
}
↓
double f(double re, double im) {
        double r40112 = re;
        double r40113 = exp(r40112);
        double r40114 = im;
        double r40115 = cos(r40114);
        double r40116 = r40113 * r40115;
        return r40116;
}

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 2019325 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))