Average Error: 0 → 0
Time: 420.0ms
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 r16228 = a;
        double r16229 = b;
        double r16230 = r16228 - r16229;
        double r16231 = fabs(r16230);
        double r16232 = 2.0;
        double r16233 = r16231 / r16232;
        return r16233;
}
↓
double f(double a, double b) {
        double r16234 = a;
        double r16235 = b;
        double r16236 = r16234 - r16235;
        double r16237 = fabs(r16236);
        double r16238 = 2.0;
        double r16239 = r16237 / r16238;
        return r16239;
}

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 2019362 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))