Average Error: 0.0 → 0.0
Time: 10.2s
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 r29424 = re;
        double r29425 = exp(r29424);
        double r29426 = im;
        double r29427 = sin(r29426);
        double r29428 = r29425 * r29427;
        return r29428;
}
↓
double f(double re, double im) {
        double r29429 = re;
        double r29430 = exp(r29429);
        double r29431 = im;
        double r29432 = sin(r29431);
        double r29433 = r29430 * r29432;
        return r29433;
}

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 2019196 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))