Average Error: 0.0 → 0.0
Time: 8.4s
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 r1766304 = re;
        double r1766305 = exp(r1766304);
        double r1766306 = im;
        double r1766307 = cos(r1766306);
        double r1766308 = r1766305 * r1766307;
        return r1766308;
}
↓
double f(double re, double im) {
        double r1766309 = im;
        double r1766310 = cos(r1766309);
        double r1766311 = re;
        double r1766312 = exp(r1766311);
        double r1766313 = r1766310 * r1766312;
        return r1766313;
}

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 2019163 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))