Average Error: 0.0 → 0.0
Time: 3.4s
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 r42333 = re;
        double r42334 = exp(r42333);
        double r42335 = im;
        double r42336 = cos(r42335);
        double r42337 = r42334 * r42336;
        return r42337;
}
↓
double f(double re, double im) {
        double r42338 = re;
        double r42339 = exp(r42338);
        double r42340 = im;
        double r42341 = cos(r42340);
        double r42342 = r42339 * r42341;
        return r42342;
}

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 2020083 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))