Average Error: 0.0 → 0.0

Time: 13.1s

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 r935390 = re;
        double r935391 = exp(r935390);
        double r935392 = im;
        double r935393 = sin(r935392);
        double r935394 = r935391 * r935393;
        return r935394;
}

↓

double f(double re, double im) {
        double r935395 = im;
        double r935396 = sin(r935395);
        double r935397 = re;
        double r935398 = exp(r935397);
        double r935399 = r935396 * r935398;
        return r935399;
}

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 2019151 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))