Average Error: 0 → 0
Time: 355.0ms
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 r20251 = a;
        double r20252 = b;
        double r20253 = r20251 - r20252;
        double r20254 = fabs(r20253);
        double r20255 = 2.0;
        double r20256 = r20254 / r20255;
        return r20256;
}
↓
double f(double a, double b) {
        double r20257 = a;
        double r20258 = b;
        double r20259 = r20257 - r20258;
        double r20260 = fabs(r20259);
        double r20261 = 2.0;
        double r20262 = r20260 / r20261;
        return r20262;
}

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 2020018 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))