Average Error: 0.0 → 0.0
Time: 6.4s
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 r24718 = re;
        double r24719 = exp(r24718);
        double r24720 = im;
        double r24721 = cos(r24720);
        double r24722 = r24719 * r24721;
        return r24722;
}
↓
double f(double re, double im) {
        double r24723 = re;
        double r24724 = exp(r24723);
        double r24725 = im;
        double r24726 = cos(r24725);
        double r24727 = r24724 * r24726;
        return r24727;
}

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 2019235 +o rules:numerics
(FPCore (re im)
  :name "math.exp on complex, real part"
  :precision binary64
  (* (exp re) (cos im)))