Average Error: 0 → 0
Time: 376.0ms
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 r16594 = a;
        double r16595 = b;
        double r16596 = r16594 - r16595;
        double r16597 = fabs(r16596);
        double r16598 = 2.0;
        double r16599 = r16597 / r16598;
        return r16599;
}
↓
double f(double a, double b) {
        double r16600 = a;
        double r16601 = b;
        double r16602 = r16600 - r16601;
        double r16603 = fabs(r16602);
        double r16604 = 2.0;
        double r16605 = r16603 / r16604;
        return r16605;
}

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 2020020 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))