Average Error: 0.0 → 0.0
Time: 9.1s
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 r1784152 = re;
        double r1784153 = exp(r1784152);
        double r1784154 = im;
        double r1784155 = sin(r1784154);
        double r1784156 = r1784153 * r1784155;
        return r1784156;
}
↓
double f(double re, double im) {
        double r1784157 = im;
        double r1784158 = sin(r1784157);
        double r1784159 = re;
        double r1784160 = exp(r1784159);
        double r1784161 = r1784158 * r1784160;
        return r1784161;
}

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 2019121 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))