Average Error: 0 → 0
Time: 370.0ms
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 r17551 = a;
        double r17552 = b;
        double r17553 = r17551 - r17552;
        double r17554 = fabs(r17553);
        double r17555 = 2.0;
        double r17556 = r17554 / r17555;
        return r17556;
}
↓
double f(double a, double b) {
        double r17557 = a;
        double r17558 = b;
        double r17559 = r17557 - r17558;
        double r17560 = fabs(r17559);
        double r17561 = 2.0;
        double r17562 = r17560 / r17561;
        return r17562;
}

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 2020027 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))