Average Error: 0.0 → 0.0
Time: 12.1s
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 r1174716 = re;
        double r1174717 = exp(r1174716);
        double r1174718 = im;
        double r1174719 = cos(r1174718);
        double r1174720 = r1174717 * r1174719;
        return r1174720;
}
↓
double f(double re, double im) {
        double r1174721 = im;
        double r1174722 = cos(r1174721);
        double r1174723 = re;
        double r1174724 = exp(r1174723);
        double r1174725 = r1174722 * r1174724;
        return r1174725;
}

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 2019124 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))