Average Error: 0.0 → 0.0
Time: 9.2s
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 r2400136 = re;
        double r2400137 = exp(r2400136);
        double r2400138 = im;
        double r2400139 = cos(r2400138);
        double r2400140 = r2400137 * r2400139;
        return r2400140;
}
↓
double f(double re, double im) {
        double r2400141 = im;
        double r2400142 = cos(r2400141);
        double r2400143 = re;
        double r2400144 = exp(r2400143);
        double r2400145 = r2400142 * r2400144;
        return r2400145;
}

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 2019158 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))