Average Error: 0 → 0
Time: 919.0ms
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 r274279 = a;
        double r274280 = b;
        double r274281 = r274279 - r274280;
        double r274282 = fabs(r274281);
        double r274283 = 2.0;
        double r274284 = r274282 / r274283;
        return r274284;
}
↓
double f(double a, double b) {
        double r274285 = a;
        double r274286 = b;
        double r274287 = r274285 - r274286;
        double r274288 = fabs(r274287);
        double r274289 = 2.0;
        double r274290 = r274288 / r274289;
        return r274290;
}

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 2019172 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))