Average Error: 0.0 → 0.0
Time: 7.0s
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 r1020455 = re;
        double r1020456 = exp(r1020455);
        double r1020457 = im;
        double r1020458 = cos(r1020457);
        double r1020459 = r1020456 * r1020458;
        return r1020459;
}
↓
double f(double re, double im) {
        double r1020460 = im;
        double r1020461 = cos(r1020460);
        double r1020462 = re;
        double r1020463 = exp(r1020462);
        double r1020464 = r1020461 * r1020463;
        return r1020464;
}

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 2019155 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))