Average Error: 0.0 → 0.0
Time: 8.1s
Precision: 64
\[e^{re} \cdot \cos im\]
\[\cos im \cdot e^{re}\]
double f(double re, double im) {
        double r1187219 = re;
        double r1187220 = exp(r1187219);
        double r1187221 = im;
        double r1187222 = cos(r1187221);
        double r1187223 = r1187220 * r1187222;
        return r1187223;
}

double f(double re, double im) {
        double r1187224 = im;
        double r1187225 = cos(r1187224);
        double r1187226 = re;
        double r1187227 = exp(r1187226);
        double r1187228 = r1187225 * r1187227;
        return r1187228;
}

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

Error

Bits error versus re

Bits error versus im

Derivation

  1. Initial program 0.0

    \[e^{re} \cdot \cos im\]
  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019101 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))