Average Error: 0 → 0
Time: 1.4s
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 r12210 = a;
        double r12211 = b;
        double r12212 = r12210 - r12211;
        double r12213 = fabs(r12212);
        double r12214 = 2.0;
        double r12215 = r12213 / r12214;
        return r12215;
}
↓
double f(double a, double b) {
        double r12216 = a;
        double r12217 = b;
        double r12218 = r12216 - r12217;
        double r12219 = fabs(r12218);
        double r12220 = 2.0;
        double r12221 = r12219 / r12220;
        return r12221;
}

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 2019179 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))