Average Error: 0 → 0
Time: 370.0ms
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 r16303 = a;
        double r16304 = b;
        double r16305 = r16303 - r16304;
        double r16306 = fabs(r16305);
        double r16307 = 2.0;
        double r16308 = r16306 / r16307;
        return r16308;
}
↓
double f(double a, double b) {
        double r16309 = a;
        double r16310 = b;
        double r16311 = r16309 - r16310;
        double r16312 = fabs(r16311);
        double r16313 = 2.0;
        double r16314 = r16312 / r16313;
        return r16314;
}

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))