Average Error: 0 → 0
Time: 409.0ms
Precision: 64
\[\frac{\left|a - b\right|}{2}\]
↓
\[\frac{\left|a - b\right|}{2}\]
\frac{\left|a - b\right|}{2}
↓
\frac{\left|a - b\right|}{2}
double f(double a, double b) {
        double r16890 = a;
        double r16891 = b;
        double r16892 = r16890 - r16891;
        double r16893 = fabs(r16892);
        double r16894 = 2.0;
        double r16895 = r16893 / r16894;
        return r16895;
}
↓
double f(double a, double b) {
        double r16896 = a;
        double r16897 = b;
        double r16898 = r16896 - r16897;
        double r16899 = fabs(r16898);
        double r16900 = 2.0;
        double r16901 = r16899 / r16900;
        return r16901;
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\frac{\left|a - b\right|}{2}\]

  2. Final simplification0

    \[\leadsto \frac{\left|a - b\right|}{2}\]

Reproduce

herbie shell --seed 2019350 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))