Average Error: 0 → 0
Time: 359.0ms
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 r18453 = a;
        double r18454 = b;
        double r18455 = r18453 - r18454;
        double r18456 = fabs(r18455);
        double r18457 = 2.0;
        double r18458 = r18456 / r18457;
        return r18458;
}
↓
double f(double a, double b) {
        double r18459 = a;
        double r18460 = b;
        double r18461 = r18459 - r18460;
        double r18462 = fabs(r18461);
        double r18463 = 2.0;
        double r18464 = r18462 / r18463;
        return r18464;
}

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 2020065 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))