Average Error: 0 → 0
Time: 394.0ms
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 r21468 = a;
        double r21469 = b;
        double r21470 = r21468 - r21469;
        double r21471 = fabs(r21470);
        double r21472 = 2.0;
        double r21473 = r21471 / r21472;
        return r21473;
}
↓
double f(double a, double b) {
        double r21474 = a;
        double r21475 = b;
        double r21476 = r21474 - r21475;
        double r21477 = fabs(r21476);
        double r21478 = 2.0;
        double r21479 = r21477 / r21478;
        return r21479;
}

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 2020002 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))