Average Error: 0.0 → 0.0
Time: 6.9s
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 r34419 = re;
        double r34420 = exp(r34419);
        double r34421 = im;
        double r34422 = sin(r34421);
        double r34423 = r34420 * r34422;
        return r34423;
}
↓
double f(double re, double im) {
        double r34424 = re;
        double r34425 = exp(r34424);
        double r34426 = im;
        double r34427 = sin(r34426);
        double r34428 = r34425 * r34427;
        return r34428;
}

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 2019179 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))