Average Error: 0.0 → 0.0
Time: 19.1s
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 r1742150 = re;
        double r1742151 = exp(r1742150);
        double r1742152 = im;
        double r1742153 = cos(r1742152);
        double r1742154 = r1742151 * r1742153;
        return r1742154;
}
↓
double f(double re, double im) {
        double r1742155 = im;
        double r1742156 = cos(r1742155);
        double r1742157 = re;
        double r1742158 = exp(r1742157);
        double r1742159 = r1742156 * r1742158;
        return r1742159;
}

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 2019169 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))