Average Error: 0 → 0
Time: 975.0ms
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 r418531 = a;
        double r418532 = b;
        double r418533 = r418531 - r418532;
        double r418534 = fabs(r418533);
        double r418535 = 2.0;
        double r418536 = r418534 / r418535;
        return r418536;
}
↓
double f(double a, double b) {
        double r418537 = a;
        double r418538 = b;
        double r418539 = r418537 - r418538;
        double r418540 = fabs(r418539);
        double r418541 = 2.0;
        double r418542 = r418540 / r418541;
        return r418542;
}

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 2019174 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))