Average Error: 0 → 0
Time: 397.0ms
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 r18046 = a;
        double r18047 = b;
        double r18048 = r18046 - r18047;
        double r18049 = fabs(r18048);
        double r18050 = 2.0;
        double r18051 = r18049 / r18050;
        return r18051;
}
↓
double f(double a, double b) {
        double r18052 = a;
        double r18053 = b;
        double r18054 = r18052 - r18053;
        double r18055 = fabs(r18054);
        double r18056 = 2.0;
        double r18057 = r18055 / r18056;
        return r18057;
}

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 2019353 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))