Average Error: 0 → 0
Time: 915.0ms
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 r903494 = a;
        double r903495 = b;
        double r903496 = r903494 - r903495;
        double r903497 = fabs(r903496);
        double r903498 = 2.0;
        double r903499 = r903497 / r903498;
        return r903499;
}
↓
double f(double a, double b) {
        double r903500 = a;
        double r903501 = b;
        double r903502 = r903500 - r903501;
        double r903503 = fabs(r903502);
        double r903504 = 2.0;
        double r903505 = r903503 / r903504;
        return r903505;
}

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 2019128 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))