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

↓

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

e^{re} \cdot \sin im

↓

\sin im \cdot e^{re}

double f(double re, double im) {
        double r3495512 = re;
        double r3495513 = exp(r3495512);
        double r3495514 = im;
        double r3495515 = sin(r3495514);
        double r3495516 = r3495513 * r3495515;
        return r3495516;
}

↓

double f(double re, double im) {
        double r3495517 = im;
        double r3495518 = sin(r3495517);
        double r3495519 = re;
        double r3495520 = exp(r3495519);
        double r3495521 = r3495518 * r3495520;
        return r3495521;
}

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In
Out

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Derivation

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

Reproduce

herbie shell --seed 2019125 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))

Error

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Derivation

Reproduce