Average Error: 0.0 → 0.0
Time: 12.9s
Precision: 64
\[e^{re} \cdot \sin im\]
↓
\[\sin im \cdot e^{re}\]
e^{re} \cdot \sin im
↓
\sin im \cdot e^{re}
double f(double re, double im) {
        double r2460012 = re;
        double r2460013 = exp(r2460012);
        double r2460014 = im;
        double r2460015 = sin(r2460014);
        double r2460016 = r2460013 * r2460015;
        return r2460016;
}
↓
double f(double re, double im) {
        double r2460017 = im;
        double r2460018 = sin(r2460017);
        double r2460019 = re;
        double r2460020 = exp(r2460019);
        double r2460021 = r2460018 * r2460020;
        return r2460021;
}

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

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

Reproduce

herbie shell --seed 2019158 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))