Average Error: 0 → 0
Time: 864.0ms
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 r28194 = a;
        double r28195 = b;
        double r28196 = r28194 - r28195;
        double r28197 = fabs(r28196);
        double r28198 = 2.0;
        double r28199 = r28197 / r28198;
        return r28199;
}
↓
double f(double a, double b) {
        double r28200 = a;
        double r28201 = b;
        double r28202 = r28200 - r28201;
        double r28203 = fabs(r28202);
        double r28204 = 2.0;
        double r28205 = r28203 / r28204;
        return r28205;
}

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 2019322 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))