Average Error: 0 → 0
Time: 1.3s
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 r17083 = a;
        double r17084 = b;
        double r17085 = r17083 - r17084;
        double r17086 = fabs(r17085);
        double r17087 = 2.0;
        double r17088 = r17086 / r17087;
        return r17088;
}

double f(double a, double b) {
        double r17089 = a;
        double r17090 = b;
        double r17091 = r17089 - r17090;
        double r17092 = fabs(r17091);
        double r17093 = 2.0;
        double r17094 = r17092 / r17093;
        return r17094;
}

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 2019196 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))