Average Error: 0.0 → 0.0
Time: 2.5s
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 r57117 = re;
        double r57118 = exp(r57117);
        double r57119 = im;
        double r57120 = cos(r57119);
        double r57121 = r57118 * r57120;
        return r57121;
}
↓
double f(double re, double im) {
        double r57122 = re;
        double r57123 = exp(r57122);
        double r57124 = im;
        double r57125 = cos(r57124);
        double r57126 = r57123 * r57125;
        return r57126;
}

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 2020060 
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))