Average Error: 0 → 0
Time: 399.0ms
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 r15940 = a;
        double r15941 = b;
        double r15942 = r15940 - r15941;
        double r15943 = fabs(r15942);
        double r15944 = 2.0;
        double r15945 = r15943 / r15944;
        return r15945;
}
↓
double f(double a, double b) {
        double r15946 = a;
        double r15947 = b;
        double r15948 = r15946 - r15947;
        double r15949 = fabs(r15948);
        double r15950 = 2.0;
        double r15951 = r15949 / r15950;
        return r15951;
}

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 2020001 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))