Average Error: 0.0 → 0.0

Time: 7.0s

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 r996234 = re;
        double r996235 = exp(r996234);
        double r996236 = im;
        double r996237 = sin(r996236);
        double r996238 = r996235 * r996237;
        return r996238;
}

↓

double f(double re, double im) {
        double r996239 = im;
        double r996240 = sin(r996239);
        double r996241 = re;
        double r996242 = exp(r996241);
        double r996243 = r996240 * r996242;
        return r996243;
}

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 2019156 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))