Average Error: 0 → 0
Time: 385.0ms
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 r17191 = a;
        double r17192 = b;
        double r17193 = r17191 - r17192;
        double r17194 = fabs(r17193);
        double r17195 = 2.0;
        double r17196 = r17194 / r17195;
        return r17196;
}
↓
double f(double a, double b) {
        double r17197 = a;
        double r17198 = b;
        double r17199 = r17197 - r17198;
        double r17200 = fabs(r17199);
        double r17201 = 2.0;
        double r17202 = r17200 / r17201;
        return r17202;
}

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 2019350 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))