Average Error: 0 → 0
Time: 370.0ms
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 r17438 = a;
        double r17439 = b;
        double r17440 = r17438 - r17439;
        double r17441 = fabs(r17440);
        double r17442 = 2.0;
        double r17443 = r17441 / r17442;
        return r17443;
}
↓
double f(double a, double b) {
        double r17444 = a;
        double r17445 = b;
        double r17446 = r17444 - r17445;
        double r17447 = fabs(r17446);
        double r17448 = 2.0;
        double r17449 = r17447 / r17448;
        return r17449;
}

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 2020020 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))