Average Error: 0 → 0
Time: 905.0ms
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 r111488 = a;
        double r111489 = b;
        double r111490 = r111488 - r111489;
        double r111491 = fabs(r111490);
        double r111492 = 2.0;
        double r111493 = r111491 / r111492;
        return r111493;
}
↓
double f(double a, double b) {
        double r111494 = a;
        double r111495 = b;
        double r111496 = r111494 - r111495;
        double r111497 = fabs(r111496);
        double r111498 = 2.0;
        double r111499 = r111497 / r111498;
        return r111499;
}

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 2019104 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))