Average Error: 0.0 → 0.0
Time: 7.7s
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 r35294 = re;
        double r35295 = exp(r35294);
        double r35296 = im;
        double r35297 = sin(r35296);
        double r35298 = r35295 * r35297;
        return r35298;
}
↓
double f(double re, double im) {
        double r35299 = re;
        double r35300 = exp(r35299);
        double r35301 = im;
        double r35302 = sin(r35301);
        double r35303 = r35300 * r35302;
        return r35303;
}

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