Average Error: 0.0 → 0.0
Time: 8.6s
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 r31687 = re;
        double r31688 = exp(r31687);
        double r31689 = im;
        double r31690 = sin(r31689);
        double r31691 = r31688 * r31690;
        return r31691;
}
↓
double f(double re, double im) {
        double r31692 = re;
        double r31693 = exp(r31692);
        double r31694 = im;
        double r31695 = sin(r31694);
        double r31696 = r31693 * r31695;
        return r31696;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019198 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))