Average Error: 0.0 → 0.0
Time: 10.2s
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 r1336548 = re;
        double r1336549 = exp(r1336548);
        double r1336550 = im;
        double r1336551 = cos(r1336550);
        double r1336552 = r1336549 * r1336551;
        return r1336552;
}
↓
double f(double re, double im) {
        double r1336553 = im;
        double r1336554 = cos(r1336553);
        double r1336555 = re;
        double r1336556 = exp(r1336555);
        double r1336557 = r1336554 * r1336556;
        return r1336557;
}

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 2019165 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))