Average Error: 0.0 → 0.0
Time: 9.7s
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 r715574 = re;
        double r715575 = exp(r715574);
        double r715576 = im;
        double r715577 = cos(r715576);
        double r715578 = r715575 * r715577;
        return r715578;
}
↓
double f(double re, double im) {
        double r715579 = im;
        double r715580 = cos(r715579);
        double r715581 = re;
        double r715582 = exp(r715581);
        double r715583 = r715580 * r715582;
        return r715583;
}

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 2019120 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))