Average Error: 0.0 → 0.0
Time: 24.5s
Precision: 64
\[e^{re} \cdot \sin im\]
\[\sin im \cdot e^{re}\]
double f(double re, double im) {
        double r1731041 = re;
        double r1731042 = exp(r1731041);
        double r1731043 = im;
        double r1731044 = sin(r1731043);
        double r1731045 = r1731042 * r1731044;
        return r1731045;
}

double f(double re, double im) {
        double r1731046 = im;
        double r1731047 = sin(r1731046);
        double r1731048 = re;
        double r1731049 = exp(r1731048);
        double r1731050 = r1731047 * r1731049;
        return r1731050;
}

e^{re} \cdot \sin im
\sin im \cdot e^{re}

Error

Bits error versus re

Bits error versus im

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 2019102 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))