Average Error: 0.0 → 0.0

Time: 16.2s

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 r964364 = re;
        double r964365 = exp(r964364);
        double r964366 = im;
        double r964367 = cos(r964366);
        double r964368 = r964365 * r964367;
        return r964368;
}

↓

double f(double re, double im) {
        double r964369 = im;
        double r964370 = cos(r964369);
        double r964371 = re;
        double r964372 = exp(r964371);
        double r964373 = r964370 * r964372;
        return r964373;
}

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 2019151 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))