Average Error: 0.0 → 0.0

Time: 3.1s

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 r593057 = re;
        double r593058 = exp(r593057);
        double r593059 = im;
        double r593060 = cos(r593059);
        double r593061 = r593058 * r593060;
        return r593061;
}

↓

double f(double re, double im) {
        double r593062 = im;
        double r593063 = cos(r593062);
        double r593064 = re;
        double r593065 = exp(r593064);
        double r593066 = r593063 * r593065;
        return r593066;
}

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 2019154 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))