Average Error: 0 → 0
Time: 716.0ms
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 r9422 = a;
        double r9423 = b;
        double r9424 = r9422 - r9423;
        double r9425 = fabs(r9424);
        double r9426 = 2.0;
        double r9427 = r9425 / r9426;
        return r9427;
}
↓
double f(double a, double b) {
        double r9428 = a;
        double r9429 = b;
        double r9430 = r9428 - r9429;
        double r9431 = fabs(r9430);
        double r9432 = 2.0;
        double r9433 = r9431 / r9432;
        return r9433;
}

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 2019208 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))