Average Error: 0.0 → 0.0

Time: 14.2s

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 r782704 = re;
        double r782705 = exp(r782704);
        double r782706 = im;
        double r782707 = cos(r782706);
        double r782708 = r782705 * r782707;
        return r782708;
}

↓

double f(double re, double im) {
        double r782709 = im;
        double r782710 = cos(r782709);
        double r782711 = re;
        double r782712 = exp(r782711);
        double r782713 = r782710 * r782712;
        return r782713;
}

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 2019130 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))