Average Error: 0.0 → 0.0
Time: 4.6s
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 r1244142 = re;
        double r1244143 = exp(r1244142);
        double r1244144 = im;
        double r1244145 = cos(r1244144);
        double r1244146 = r1244143 * r1244145;
        return r1244146;
}
↓
double f(double re, double im) {
        double r1244147 = im;
        double r1244148 = cos(r1244147);
        double r1244149 = re;
        double r1244150 = exp(r1244149);
        double r1244151 = r1244148 * r1244150;
        return r1244151;
}

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 2019104 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))