Average Error: 0 → 0
Time: 818.0ms
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 r789167 = a;
        double r789168 = b;
        double r789169 = r789167 - r789168;
        double r789170 = fabs(r789169);
        double r789171 = 2.0;
        double r789172 = r789170 / r789171;
        return r789172;
}
↓
double f(double a, double b) {
        double r789173 = a;
        double r789174 = b;
        double r789175 = r789173 - r789174;
        double r789176 = fabs(r789175);
        double r789177 = 2.0;
        double r789178 = r789176 / r789177;
        return r789178;
}

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 2019163 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))