Average Error: 0 → 0
Time: 773.0ms
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 r8233 = a;
        double r8234 = b;
        double r8235 = r8233 - r8234;
        double r8236 = fabs(r8235);
        double r8237 = 2.0;
        double r8238 = r8236 / r8237;
        return r8238;
}
↓
double f(double a, double b) {
        double r8239 = a;
        double r8240 = b;
        double r8241 = r8239 - r8240;
        double r8242 = fabs(r8241);
        double r8243 = 2.0;
        double r8244 = r8242 / r8243;
        return r8244;
}

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 2019310 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))