Average Error: 0 → 0
Time: 354.0ms
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 r17251 = a;
        double r17252 = b;
        double r17253 = r17251 - r17252;
        double r17254 = fabs(r17253);
        double r17255 = 2.0;
        double r17256 = r17254 / r17255;
        return r17256;
}
↓
double f(double a, double b) {
        double r17257 = a;
        double r17258 = b;
        double r17259 = r17257 - r17258;
        double r17260 = fabs(r17259);
        double r17261 = 2.0;
        double r17262 = r17260 / r17261;
        return r17262;
}

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 2020027 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))