Average Error: 0.0 → 0.0
Time: 2.7s
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 r32036 = re;
        double r32037 = exp(r32036);
        double r32038 = im;
        double r32039 = cos(r32038);
        double r32040 = r32037 * r32039;
        return r32040;
}
↓
double f(double re, double im) {
        double r32041 = re;
        double r32042 = exp(r32041);
        double r32043 = im;
        double r32044 = cos(r32043);
        double r32045 = r32042 * r32044;
        return r32045;
}

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 2020056 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))