Average Error: 0.0 → 0.0

Time: 10.4s

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 r629627 = re;
        double r629628 = exp(r629627);
        double r629629 = im;
        double r629630 = sin(r629629);
        double r629631 = r629628 * r629630;
        return r629631;
}

↓

double f(double re, double im) {
        double r629632 = im;
        double r629633 = sin(r629632);
        double r629634 = re;
        double r629635 = exp(r629634);
        double r629636 = r629633 * r629635;
        return r629636;
}

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

Reproduce

herbie shell --seed 2019112 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))