Average Error: 0 → 0
Time: 471.0ms
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 r17161 = a;
        double r17162 = b;
        double r17163 = r17161 - r17162;
        double r17164 = fabs(r17163);
        double r17165 = 2.0;
        double r17166 = r17164 / r17165;
        return r17166;
}
↓
double f(double a, double b) {
        double r17167 = a;
        double r17168 = b;
        double r17169 = r17167 - r17168;
        double r17170 = fabs(r17169);
        double r17171 = 2.0;
        double r17172 = r17170 / r17171;
        return r17172;
}

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 2020083 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))