Average Error: 0 → 0
Time: 993.0ms
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 r283411 = a;
        double r283412 = b;
        double r283413 = r283411 - r283412;
        double r283414 = fabs(r283413);
        double r283415 = 2.0;
        double r283416 = r283414 / r283415;
        return r283416;
}
↓
double f(double a, double b) {
        double r283417 = a;
        double r283418 = b;
        double r283419 = r283417 - r283418;
        double r283420 = fabs(r283419);
        double r283421 = 2.0;
        double r283422 = r283420 / r283421;
        return r283422;
}

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 2019133 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))