Average Error: 0 → 0
Time: 1.0s
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 r25834 = a;
        double r25835 = b;
        double r25836 = r25834 - r25835;
        double r25837 = fabs(r25836);
        double r25838 = 2.0;
        double r25839 = r25837 / r25838;
        return r25839;
}
↓
double f(double a, double b) {
        double r25840 = a;
        double r25841 = b;
        double r25842 = r25840 - r25841;
        double r25843 = fabs(r25842);
        double r25844 = 2.0;
        double r25845 = r25843 / r25844;
        return r25845;
}

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 2019195 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))