Average Error: 0 → 0
Time: 1.0s
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 r169536 = a;
        double r169537 = b;
        double r169538 = r169536 - r169537;
        double r169539 = fabs(r169538);
        double r169540 = 2.0;
        double r169541 = r169539 / r169540;
        return r169541;
}
↓
double f(double a, double b) {
        double r169542 = a;
        double r169543 = b;
        double r169544 = r169542 - r169543;
        double r169545 = fabs(r169544);
        double r169546 = 2.0;
        double r169547 = r169545 / r169546;
        return r169547;
}

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 2019173 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))