Average Error: 0.0 → 0.0

Time: 5.8s

Precision: 64

\[e^{re} \cdot \sin im\]

↓

\[\sin im \cdot e^{re}\]

e^{re} \cdot \sin im

↓

\sin im \cdot e^{re}

double f(double re, double im) {
        double r952787 = re;
        double r952788 = exp(r952787);
        double r952789 = im;
        double r952790 = sin(r952789);
        double r952791 = r952788 * r952790;
        return r952791;
}

↓

double f(double re, double im) {
        double r952792 = im;
        double r952793 = sin(r952792);
        double r952794 = re;
        double r952795 = exp(r952794);
        double r952796 = r952793 * r952795;
        return r952796;
}

Error

The X axis uses an exponential scale — Bits error versus `re`

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In
Out

Enter valid numbers for all inputs

Derivation

Initial program 0.0
\[e^{re} \cdot \sin im\]
Final simplification0.0
\[\leadsto \sin im \cdot e^{re}\]

Reproduce

herbie shell --seed 2019138 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))