Average Error: 0 → 0
Time: 875.0ms
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 r10303 = a;
        double r10304 = b;
        double r10305 = r10303 - r10304;
        double r10306 = fabs(r10305);
        double r10307 = 2.0;
        double r10308 = r10306 / r10307;
        return r10308;
}
↓
double f(double a, double b) {
        double r10309 = a;
        double r10310 = b;
        double r10311 = r10309 - r10310;
        double r10312 = fabs(r10311);
        double r10313 = 2.0;
        double r10314 = r10312 / r10313;
        return r10314;
}

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 2019208 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))