Average Error: 0 → 0
Time: 366.0ms
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 r17535 = a;
        double r17536 = b;
        double r17537 = r17535 - r17536;
        double r17538 = fabs(r17537);
        double r17539 = 2.0;
        double r17540 = r17538 / r17539;
        return r17540;
}
↓
double f(double a, double b) {
        double r17541 = a;
        double r17542 = b;
        double r17543 = r17541 - r17542;
        double r17544 = fabs(r17543);
        double r17545 = 2.0;
        double r17546 = r17544 / r17545;
        return r17546;
}

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 2020060 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))