Average Error: 0.0 → 0.0

Time: 9.6s

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 r759627 = re;
        double r759628 = exp(r759627);
        double r759629 = im;
        double r759630 = sin(r759629);
        double r759631 = r759628 * r759630;
        return r759631;
}

↓

double f(double re, double im) {
        double r759632 = im;
        double r759633 = sin(r759632);
        double r759634 = re;
        double r759635 = exp(r759634);
        double r759636 = r759633 * r759635;
        return r759636;
}

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 2019124 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))