Average Error: 0.0 → 0.0
Time: 12.7s
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 r40097 = re;
        double r40098 = exp(r40097);
        double r40099 = im;
        double r40100 = cos(r40099);
        double r40101 = r40098 * r40100;
        return r40101;
}
↓
double f(double re, double im) {
        double r40102 = re;
        double r40103 = exp(r40102);
        double r40104 = im;
        double r40105 = cos(r40104);
        double r40106 = r40103 * r40105;
        return r40106;
}

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 2019325 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))