Average Error: 0.0 → 0.0

Time: 9.6s

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 r343458 = re;
        double r343459 = exp(r343458);
        double r343460 = im;
        double r343461 = cos(r343460);
        double r343462 = r343459 * r343461;
        return r343462;
}

↓

double f(double re, double im) {
        double r343463 = im;
        double r343464 = cos(r343463);
        double r343465 = re;
        double r343466 = exp(r343465);
        double r343467 = r343464 * r343466;
        return r343467;
}

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 2019142 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))