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 r597260 = a;
        double r597261 = b;
        double r597262 = r597260 - r597261;
        double r597263 = fabs(r597262);
        double r597264 = 2.0;
        double r597265 = r597263 / r597264;
        return r597265;
}
↓
double f(double a, double b) {
        double r597266 = a;
        double r597267 = b;
        double r597268 = r597266 - r597267;
        double r597269 = fabs(r597268);
        double r597270 = 2.0;
        double r597271 = r597269 / r597270;
        return r597271;
}

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 2019124 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))