Average Error: 0 → 0
Time: 404.0ms
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 r19348 = a;
        double r19349 = b;
        double r19350 = r19348 - r19349;
        double r19351 = fabs(r19350);
        double r19352 = 2.0;
        double r19353 = r19351 / r19352;
        return r19353;
}
↓
double f(double a, double b) {
        double r19354 = a;
        double r19355 = b;
        double r19356 = r19354 - r19355;
        double r19357 = fabs(r19356);
        double r19358 = 2.0;
        double r19359 = r19357 / r19358;
        return r19359;
}

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 2019353 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))