Average Error: 0 → 0
Time: 817.0ms
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 r28541 = a;
        double r28542 = b;
        double r28543 = r28541 - r28542;
        double r28544 = fabs(r28543);
        double r28545 = 2.0;
        double r28546 = r28544 / r28545;
        return r28546;
}
↓
double f(double a, double b) {
        double r28547 = a;
        double r28548 = b;
        double r28549 = r28547 - r28548;
        double r28550 = fabs(r28549);
        double r28551 = 2.0;
        double r28552 = r28550 / r28551;
        return r28552;
}

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 2019323 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))