Average Error: 0 → 0
Time: 544.0ms
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 r16327 = a;
        double r16328 = b;
        double r16329 = r16327 - r16328;
        double r16330 = fabs(r16329);
        double r16331 = 2.0;
        double r16332 = r16330 / r16331;
        return r16332;
}
↓
double f(double a, double b) {
        double r16333 = a;
        double r16334 = b;
        double r16335 = r16333 - r16334;
        double r16336 = fabs(r16335);
        double r16337 = 2.0;
        double r16338 = r16336 / r16337;
        return r16338;
}

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 2020036 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))