Average Error: 0 → 0
Time: 1.1s
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 r107416 = a;
        double r107417 = b;
        double r107418 = r107416 - r107417;
        double r107419 = fabs(r107418);
        double r107420 = 2.0;
        double r107421 = r107419 / r107420;
        return r107421;
}
↓
double f(double a, double b) {
        double r107422 = a;
        double r107423 = b;
        double r107424 = r107422 - r107423;
        double r107425 = fabs(r107424);
        double r107426 = 2.0;
        double r107427 = r107425 / r107426;
        return r107427;
}

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 2019154 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))