Average Error: 0 → 0
Time: 460.0ms
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 r16952 = a;
        double r16953 = b;
        double r16954 = r16952 - r16953;
        double r16955 = fabs(r16954);
        double r16956 = 2.0;
        double r16957 = r16955 / r16956;
        return r16957;
}
↓
double f(double a, double b) {
        double r16958 = a;
        double r16959 = b;
        double r16960 = r16958 - r16959;
        double r16961 = fabs(r16960);
        double r16962 = 2.0;
        double r16963 = r16961 / r16962;
        return r16963;
}

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 2020018 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))