Average Error: 0.0 → 0.0
Time: 10.7s
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 r39553 = re;
        double r39554 = exp(r39553);
        double r39555 = im;
        double r39556 = cos(r39555);
        double r39557 = r39554 * r39556;
        return r39557;
}
↓
double f(double re, double im) {
        double r39558 = re;
        double r39559 = exp(r39558);
        double r39560 = im;
        double r39561 = cos(r39560);
        double r39562 = r39559 * r39561;
        return r39562;
}

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 2019208 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))