Average Error: 0 → 0
Time: 497.0ms
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 r19517 = a;
        double r19518 = b;
        double r19519 = r19517 - r19518;
        double r19520 = fabs(r19519);
        double r19521 = 2.0;
        double r19522 = r19520 / r19521;
        return r19522;
}
↓
double f(double a, double b) {
        double r19523 = a;
        double r19524 = b;
        double r19525 = r19523 - r19524;
        double r19526 = fabs(r19525);
        double r19527 = 2.0;
        double r19528 = r19526 / r19527;
        return r19528;
}

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))