Average Error: 0.0 → 0.0
Time: 3.3s
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 r1502652 = re;
        double r1502653 = exp(r1502652);
        double r1502654 = im;
        double r1502655 = cos(r1502654);
        double r1502656 = r1502653 * r1502655;
        return r1502656;
}
↓
double f(double re, double im) {
        double r1502657 = im;
        double r1502658 = cos(r1502657);
        double r1502659 = re;
        double r1502660 = exp(r1502659);
        double r1502661 = r1502658 * r1502660;
        return r1502661;
}

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 2019162 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))