Average Error: 0.0 → 0.0

Time: 4.2s

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 r977912 = re;
        double r977913 = exp(r977912);
        double r977914 = im;
        double r977915 = cos(r977914);
        double r977916 = r977913 * r977915;
        return r977916;
}

↓

double f(double re, double im) {
        double r977917 = im;
        double r977918 = cos(r977917);
        double r977919 = re;
        double r977920 = exp(r977919);
        double r977921 = r977918 * r977920;
        return r977921;
}

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 2019200 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))