Average Error: 0.0 → 0.0

Time: 19.6s

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 r773822 = re;
        double r773823 = exp(r773822);
        double r773824 = im;
        double r773825 = cos(r773824);
        double r773826 = r773823 * r773825;
        return r773826;
}

↓

double f(double re, double im) {
        double r773827 = im;
        double r773828 = cos(r773827);
        double r773829 = re;
        double r773830 = exp(r773829);
        double r773831 = r773828 * r773830;
        return r773831;
}

Error

The X axis uses an exponential scale — Bits error versus `re`

Try it out

In
Out

Enter valid numbers for all inputs

Derivation

Initial program 0.0
\[e^{re} \cdot \cos im\]
Final simplification0.0
\[\leadsto \cos im \cdot e^{re}\]

Reproduce

herbie shell --seed 2019141 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))