Average Error: 0 → 0
Time: 400.0ms
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 r17190 = a;
        double r17191 = b;
        double r17192 = r17190 - r17191;
        double r17193 = fabs(r17192);
        double r17194 = 2.0;
        double r17195 = r17193 / r17194;
        return r17195;
}
↓
double f(double a, double b) {
        double r17196 = a;
        double r17197 = b;
        double r17198 = r17196 - r17197;
        double r17199 = fabs(r17198);
        double r17200 = 2.0;
        double r17201 = r17199 / r17200;
        return r17201;
}

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 2019351 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))