Average Error: 0.0 → 0.0
Time: 10.9s
Precision: 64
\[e^{re} \cdot \cos im\]
↓
\[\cos im \cdot e^{re}\]
e^{re} \cdot \cos im
↓
\cos im \cdot e^{re}
double f(double re, double im) {
        double r1829930 = re;
        double r1829931 = exp(r1829930);
        double r1829932 = im;
        double r1829933 = cos(r1829932);
        double r1829934 = r1829931 * r1829933;
        return r1829934;
}
↓
double f(double re, double im) {
        double r1829935 = im;
        double r1829936 = cos(r1829935);
        double r1829937 = re;
        double r1829938 = exp(r1829937);
        double r1829939 = r1829936 * r1829938;
        return r1829939;
}

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

    \[\leadsto \cos im \cdot e^{re}\]

Reproduce

herbie shell --seed 2019158 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))