Average Error: 0 → 0
Time: 887.0ms
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 r274249 = a;
        double r274250 = b;
        double r274251 = r274249 - r274250;
        double r274252 = fabs(r274251);
        double r274253 = 2.0;
        double r274254 = r274252 / r274253;
        return r274254;
}
↓
double f(double a, double b) {
        double r274255 = a;
        double r274256 = b;
        double r274257 = r274255 - r274256;
        double r274258 = fabs(r274257);
        double r274259 = 2.0;
        double r274260 = r274258 / r274259;
        return r274260;
}

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 2019171 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))