Average Error: 0.0 → 0.0
Time: 7.9s
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 r2030327 = re;
        double r2030328 = exp(r2030327);
        double r2030329 = im;
        double r2030330 = cos(r2030329);
        double r2030331 = r2030328 * r2030330;
        return r2030331;
}
↓
double f(double re, double im) {
        double r2030332 = im;
        double r2030333 = cos(r2030332);
        double r2030334 = re;
        double r2030335 = exp(r2030334);
        double r2030336 = r2030333 * r2030335;
        return r2030336;
}

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 2019134 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))