Average Error: 0 → 0
Time: 930.0ms
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 r12206 = a;
        double r12207 = b;
        double r12208 = r12206 - r12207;
        double r12209 = fabs(r12208);
        double r12210 = 2.0;
        double r12211 = r12209 / r12210;
        return r12211;
}
↓
double f(double a, double b) {
        double r12212 = a;
        double r12213 = b;
        double r12214 = r12212 - r12213;
        double r12215 = fabs(r12214);
        double r12216 = 2.0;
        double r12217 = r12215 / r12216;
        return r12217;
}

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 2019174 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))