Average Error: 0.0 → 0.0
Time: 7.5s
Precision: 64
\[e^{re} \cdot \cos im\]
↓
\[\cos im \cdot e^{re}\]
e^{re} \cdot \cos im
↓
\cos im \cdot e^{re}
double f(double re, double im) {
        double r1379141 = re;
        double r1379142 = exp(r1379141);
        double r1379143 = im;
        double r1379144 = cos(r1379143);
        double r1379145 = r1379142 * r1379144;
        return r1379145;
}
↓
double f(double re, double im) {
        double r1379146 = im;
        double r1379147 = cos(r1379146);
        double r1379148 = re;
        double r1379149 = exp(r1379148);
        double r1379150 = r1379147 * r1379149;
        return r1379150;
}

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

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019107 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))