Average Error: 0.0 → 0.0
Time: 7.0s
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 r1440132 = re;
        double r1440133 = exp(r1440132);
        double r1440134 = im;
        double r1440135 = sin(r1440134);
        double r1440136 = r1440133 * r1440135;
        return r1440136;
}
↓
double f(double re, double im) {
        double r1440137 = im;
        double r1440138 = sin(r1440137);
        double r1440139 = re;
        double r1440140 = exp(r1440139);
        double r1440141 = r1440138 * r1440140;
        return r1440141;
}

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 2019107 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))