Average Error: 0.0 → 0.0
Time: 11.5s
Precision: 64
\[e^{re} \cdot \sin im\]
↓
\[e^{re} \cdot \sin im\]
e^{re} \cdot \sin im
↓
e^{re} \cdot \sin im
double f(double re, double im) {
        double r94819 = re;
        double r94820 = exp(r94819);
        double r94821 = im;
        double r94822 = sin(r94821);
        double r94823 = r94820 * r94822;
        return r94823;
}
↓
double f(double re, double im) {
        double r94824 = re;
        double r94825 = exp(r94824);
        double r94826 = im;
        double r94827 = sin(r94826);
        double r94828 = r94825 * r94827;
        return r94828;
}

Error

Bits error versus re

Bits error versus im

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Simplified0.0

    \[\leadsto \color{blue}{\sin im \cdot e^{re}}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))