Average Error: 0.0 → 0.0

Time: 6.9s

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 r717186 = re;
        double r717187 = exp(r717186);
        double r717188 = im;
        double r717189 = cos(r717188);
        double r717190 = r717187 * r717189;
        return r717190;
}

↓

double f(double re, double im) {
        double r717191 = im;
        double r717192 = cos(r717191);
        double r717193 = re;
        double r717194 = exp(r717193);
        double r717195 = r717192 * r717194;
        return r717195;
}

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 2019153 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))