Average Error: 0 → 0
Time: 364.0ms
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 r2230 = a;
        double r2231 = b;
        double r2232 = r2230 - r2231;
        double r2233 = fabs(r2232);
        double r2234 = 2.0;
        double r2235 = r2233 / r2234;
        return r2235;
}
↓
double f(double a, double b) {
        double r2236 = a;
        double r2237 = b;
        double r2238 = r2236 - r2237;
        double r2239 = fabs(r2238);
        double r2240 = 2.0;
        double r2241 = r2239 / r2240;
        return r2241;
}

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 2020045 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))