Average Error: 0 → 0
Time: 1.1s
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 r11047 = a;
        double r11048 = b;
        double r11049 = r11047 - r11048;
        double r11050 = fabs(r11049);
        double r11051 = 2.0;
        double r11052 = r11050 / r11051;
        return r11052;
}
↓
double f(double a, double b) {
        double r11053 = a;
        double r11054 = b;
        double r11055 = r11053 - r11054;
        double r11056 = fabs(r11055);
        double r11057 = 2.0;
        double r11058 = r11056 / r11057;
        return r11058;
}

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 2019323 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))