Average Error: 0.0 → 0.0
Time: 2.9s
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 r39152 = re;
        double r39153 = exp(r39152);
        double r39154 = im;
        double r39155 = cos(r39154);
        double r39156 = r39153 * r39155;
        return r39156;
}
↓
double f(double re, double im) {
        double r39157 = re;
        double r39158 = exp(r39157);
        double r39159 = im;
        double r39160 = cos(r39159);
        double r39161 = r39158 * r39160;
        return r39161;
}

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 2020003 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))