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 r3947795 = re;
        double r3947796 = exp(r3947795);
        double r3947797 = im;
        double r3947798 = cos(r3947797);
        double r3947799 = r3947796 * r3947798;
        return r3947799;
}
↓
double f(double re, double im) {
        double r3947800 = re;
        double r3947801 = exp(r3947800);
        double r3947802 = im;
        double r3947803 = cos(r3947802);
        double r3947804 = r3947801 * r3947803;
        return r3947804;
}

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 2019173 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  (* (exp re) (cos im)))