Average Error: 0 → 0
Time: 1.0s
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 r158050 = a;
        double r158051 = b;
        double r158052 = r158050 - r158051;
        double r158053 = fabs(r158052);
        double r158054 = 2.0;
        double r158055 = r158053 / r158054;
        return r158055;
}
↓
double f(double a, double b) {
        double r158056 = a;
        double r158057 = b;
        double r158058 = r158056 - r158057;
        double r158059 = fabs(r158058);
        double r158060 = 2.0;
        double r158061 = r158059 / r158060;
        return r158061;
}

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 2019152 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))