Average Error: 0.0 → 0.0
Time: 13.0s
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 r1474496 = re;
        double r1474497 = exp(r1474496);
        double r1474498 = im;
        double r1474499 = cos(r1474498);
        double r1474500 = r1474497 * r1474499;
        return r1474500;
}
↓
double f(double re, double im) {
        double r1474501 = im;
        double r1474502 = cos(r1474501);
        double r1474503 = re;
        double r1474504 = exp(r1474503);
        double r1474505 = r1474502 * r1474504;
        return r1474505;
}

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 2019133 
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))