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 r1034503 = re;
        double r1034504 = exp(r1034503);
        double r1034505 = im;
        double r1034506 = cos(r1034505);
        double r1034507 = r1034504 * r1034506;
        return r1034507;
}
↓
double f(double re, double im) {
        double r1034508 = im;
        double r1034509 = cos(r1034508);
        double r1034510 = re;
        double r1034511 = exp(r1034510);
        double r1034512 = r1034509 * r1034511;
        return r1034512;
}

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 2019146 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))