Average Error: 0.0 → 0.0
Time: 3.2s
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 r1060319 = re;
        double r1060320 = exp(r1060319);
        double r1060321 = im;
        double r1060322 = cos(r1060321);
        double r1060323 = r1060320 * r1060322;
        return r1060323;
}
↓
double f(double re, double im) {
        double r1060324 = im;
        double r1060325 = cos(r1060324);
        double r1060326 = re;
        double r1060327 = exp(r1060326);
        double r1060328 = r1060325 * r1060327;
        return r1060328;
}

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 2019146 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))