Average Error: 0.0 → 0.0
Time: 5.8s
Precision: 64
\[e^{re} \cdot \cos im\]
↓
\[e^{re} \cdot \cos im\]
e^{re} \cdot \cos im
↓
e^{re} \cdot \cos im
double f(double re, double im) {
        double r55367 = re;
        double r55368 = exp(r55367);
        double r55369 = im;
        double r55370 = cos(r55369);
        double r55371 = r55368 * r55370;
        return r55371;
}
↓
double f(double re, double im) {
        double r55372 = re;
        double r55373 = exp(r55372);
        double r55374 = im;
        double r55375 = cos(r55374);
        double r55376 = r55373 * r55375;
        return r55376;
}

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

    \[\leadsto e^{re} \cdot \cos im\]

Reproduce

herbie shell --seed 2020042 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))