Average Error: 0 → 0
Time: 941.0ms
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 r243994 = a;
        double r243995 = b;
        double r243996 = r243994 - r243995;
        double r243997 = fabs(r243996);
        double r243998 = 2.0;
        double r243999 = r243997 / r243998;
        return r243999;
}
↓
double f(double a, double b) {
        double r244000 = a;
        double r244001 = b;
        double r244002 = r244000 - r244001;
        double r244003 = fabs(r244002);
        double r244004 = 2.0;
        double r244005 = r244003 / r244004;
        return r244005;
}

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 2019162 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))