Average Error: 0 → 0
Time: 974.0ms
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 r109017 = a;
        double r109018 = b;
        double r109019 = r109017 - r109018;
        double r109020 = fabs(r109019);
        double r109021 = 2.0;
        double r109022 = r109020 / r109021;
        return r109022;
}
↓
double f(double a, double b) {
        double r109023 = a;
        double r109024 = b;
        double r109025 = r109023 - r109024;
        double r109026 = fabs(r109025);
        double r109027 = 2.0;
        double r109028 = r109026 / r109027;
        return r109028;
}

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 2019152 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))