Average Error: 0.0 → 0.0
Time: 10.6s
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 r1855763 = re;
        double r1855764 = exp(r1855763);
        double r1855765 = im;
        double r1855766 = cos(r1855765);
        double r1855767 = r1855764 * r1855766;
        return r1855767;
}
↓
double f(double re, double im) {
        double r1855768 = im;
        double r1855769 = cos(r1855768);
        double r1855770 = re;
        double r1855771 = exp(r1855770);
        double r1855772 = r1855769 * r1855771;
        return r1855772;
}

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 2019168 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))