Average Error: 0 → 0
Time: 349.0ms
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 r18048 = a;
        double r18049 = b;
        double r18050 = r18048 - r18049;
        double r18051 = fabs(r18050);
        double r18052 = 2.0;
        double r18053 = r18051 / r18052;
        return r18053;
}
↓
double f(double a, double b) {
        double r18054 = a;
        double r18055 = b;
        double r18056 = r18054 - r18055;
        double r18057 = fabs(r18056);
        double r18058 = 2.0;
        double r18059 = r18057 / r18058;
        return r18059;
}

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 2020057 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))