Average Error: 0 → 0
Time: 388.0ms
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 r16128 = a;
        double r16129 = b;
        double r16130 = r16128 - r16129;
        double r16131 = fabs(r16130);
        double r16132 = 2.0;
        double r16133 = r16131 / r16132;
        return r16133;
}
↓
double f(double a, double b) {
        double r16134 = a;
        double r16135 = b;
        double r16136 = r16134 - r16135;
        double r16137 = fabs(r16136);
        double r16138 = 2.0;
        double r16139 = r16137 / r16138;
        return r16139;
}

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