Average Error: 0.0 → 0.0
Time: 8.1s
Precision: 64
\[e^{re} \cdot \sin im\]
\[\sin im \cdot e^{re}\]
double f(double re, double im) {
        double r1333948 = re;
        double r1333949 = exp(r1333948);
        double r1333950 = im;
        double r1333951 = sin(r1333950);
        double r1333952 = r1333949 * r1333951;
        return r1333952;
}

double f(double re, double im) {
        double r1333953 = im;
        double r1333954 = sin(r1333953);
        double r1333955 = re;
        double r1333956 = exp(r1333955);
        double r1333957 = r1333954 * r1333956;
        return r1333957;
}

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 2019101 
(FPCore (re im)
  :name "math.exp on complex, imaginary part"
  (* (exp re) (sin im)))