Average Error: 0 → 0
Time: 361.0ms
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 r16271 = a;
        double r16272 = b;
        double r16273 = r16271 - r16272;
        double r16274 = fabs(r16273);
        double r16275 = 2.0;
        double r16276 = r16274 / r16275;
        return r16276;
}
↓
double f(double a, double b) {
        double r16277 = a;
        double r16278 = b;
        double r16279 = r16277 - r16278;
        double r16280 = fabs(r16279);
        double r16281 = 2.0;
        double r16282 = r16280 / r16281;
        return r16282;
}

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 2020042 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))