Average Error: 0.0 → 0.0

Time: 13.9s

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 r977218 = re;
        double r977219 = exp(r977218);
        double r977220 = im;
        double r977221 = cos(r977220);
        double r977222 = r977219 * r977221;
        return r977222;
}

↓

double f(double re, double im) {
        double r977223 = im;
        double r977224 = cos(r977223);
        double r977225 = re;
        double r977226 = exp(r977225);
        double r977227 = r977224 * r977226;
        return r977227;
}

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 2019135 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))