Average Error: 0.0 → 0.0
Time: 19.2s
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 r35077 = re;
        double r35078 = exp(r35077);
        double r35079 = im;
        double r35080 = cos(r35079);
        double r35081 = r35078 * r35080;
        return r35081;
}
↓
double f(double re, double im) {
        double r35082 = re;
        double r35083 = exp(r35082);
        double r35084 = im;
        double r35085 = cos(r35084);
        double r35086 = r35083 * r35085;
        return r35086;
}

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 2019323 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))