Average Error: 0.0 → 0.0
Time: 10.0s
Precision: 64
\[e^{re} \cdot \cos im\]
\[\cos im \cdot e^{re}\]
double f(double re, double im) {
        double r1522663 = re;
        double r1522664 = exp(r1522663);
        double r1522665 = im;
        double r1522666 = cos(r1522665);
        double r1522667 = r1522664 * r1522666;
        return r1522667;
}

double f(double re, double im) {
        double r1522668 = im;
        double r1522669 = cos(r1522668);
        double r1522670 = re;
        double r1522671 = exp(r1522670);
        double r1522672 = r1522669 * r1522671;
        return r1522672;
}

e^{re} \cdot \cos im
\cos im \cdot e^{re}

Error

Bits error versus re

Bits error versus im

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 2019102 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))