Average Error: 0.0 → 0.0
Time: 8.7s
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 r22554 = re;
        double r22555 = exp(r22554);
        double r22556 = im;
        double r22557 = sin(r22556);
        double r22558 = r22555 * r22557;
        return r22558;
}
↓
double f(double re, double im) {
        double r22559 = re;
        double r22560 = exp(r22559);
        double r22561 = im;
        double r22562 = sin(r22561);
        double r22563 = r22560 * r22562;
        return r22563;
}

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 2019195 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))