Average Error: 0 → 0
Time: 360.0ms
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 r19119 = a;
        double r19120 = b;
        double r19121 = r19119 - r19120;
        double r19122 = fabs(r19121);
        double r19123 = 2.0;
        double r19124 = r19122 / r19123;
        return r19124;
}
↓
double f(double a, double b) {
        double r19125 = a;
        double r19126 = b;
        double r19127 = r19125 - r19126;
        double r19128 = fabs(r19127);
        double r19129 = 2.0;
        double r19130 = r19128 / r19129;
        return r19130;
}

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 2020047 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))