Average Error: 0 → 0
Time: 986.0ms
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 r126994 = a;
        double r126995 = b;
        double r126996 = r126994 - r126995;
        double r126997 = fabs(r126996);
        double r126998 = 2.0;
        double r126999 = r126997 / r126998;
        return r126999;
}
↓
double f(double a, double b) {
        double r127000 = a;
        double r127001 = b;
        double r127002 = r127000 - r127001;
        double r127003 = fabs(r127002);
        double r127004 = 2.0;
        double r127005 = r127003 / r127004;
        return r127005;
}

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 2019121 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))