Average Error: 0.0 → 0.0
Time: 10.4s
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 r1716561 = re;
        double r1716562 = exp(r1716561);
        double r1716563 = im;
        double r1716564 = cos(r1716563);
        double r1716565 = r1716562 * r1716564;
        return r1716565;
}
↓
double f(double re, double im) {
        double r1716566 = im;
        double r1716567 = cos(r1716566);
        double r1716568 = re;
        double r1716569 = exp(r1716568);
        double r1716570 = r1716567 * r1716569;
        return r1716570;
}

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 2019163 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))