Average Error: 0.0 → 0.0
Time: 2.8s
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 r37369 = re;
        double r37370 = exp(r37369);
        double r37371 = im;
        double r37372 = cos(r37371);
        double r37373 = r37370 * r37372;
        return r37373;
}
↓
double f(double re, double im) {
        double r37374 = re;
        double r37375 = exp(r37374);
        double r37376 = im;
        double r37377 = cos(r37376);
        double r37378 = r37375 * r37377;
        return r37378;
}

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 2020003 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))