Average Error: 0.0 → 0.0

Time: 10.3s

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 r902878 = re;
        double r902879 = exp(r902878);
        double r902880 = im;
        double r902881 = cos(r902880);
        double r902882 = r902879 * r902881;
        return r902882;
}

↓

double f(double re, double im) {
        double r902883 = im;
        double r902884 = cos(r902883);
        double r902885 = re;
        double r902886 = exp(r902885);
        double r902887 = r902884 * r902886;
        return r902887;
}

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 2019152 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))