Average Error: 0 → 0
Time: 793.0ms
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 r10045 = a;
        double r10046 = b;
        double r10047 = r10045 - r10046;
        double r10048 = fabs(r10047);
        double r10049 = 2.0;
        double r10050 = r10048 / r10049;
        return r10050;
}
↓
double f(double a, double b) {
        double r10051 = a;
        double r10052 = b;
        double r10053 = r10051 - r10052;
        double r10054 = fabs(r10053);
        double r10055 = 2.0;
        double r10056 = r10054 / r10055;
        return r10056;
}

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 2019308 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))