Average Error: 0.0 → 0.0
Time: 8.0s
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 r45092 = re;
        double r45093 = exp(r45092);
        double r45094 = im;
        double r45095 = cos(r45094);
        double r45096 = r45093 * r45095;
        return r45096;
}
↓
double f(double re, double im) {
        double r45097 = re;
        double r45098 = exp(r45097);
        double r45099 = im;
        double r45100 = cos(r45099);
        double r45101 = r45098 * r45100;
        return r45101;
}

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 2019209 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))