Average Error: 0 → 0
Time: 359.0ms
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 r17023 = a;
        double r17024 = b;
        double r17025 = r17023 - r17024;
        double r17026 = fabs(r17025);
        double r17027 = 2.0;
        double r17028 = r17026 / r17027;
        return r17028;
}
↓
double f(double a, double b) {
        double r17029 = a;
        double r17030 = b;
        double r17031 = r17029 - r17030;
        double r17032 = fabs(r17031);
        double r17033 = 2.0;
        double r17034 = r17032 / r17033;
        return r17034;
}

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 2020047 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))