Average Error: 62.0 → 62.0
Time: 2.7s
Precision: 64
\[lo \lt -1 \cdot 10^{+308} \land hi \gt 10^{+308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r890809 = x;
        double r890810 = lo;
        double r890811 = r890809 - r890810;
        double r890812 = hi;
        double r890813 = r890812 - r890810;
        double r890814 = r890811 / r890813;
        return r890814;
}
↓
double f(double lo, double hi, double x) {
        double r890815 = x;
        double r890816 = lo;
        double r890817 = r890815 - r890816;
        double r890818 = hi;
        double r890819 = r890818 - r890816;
        double r890820 = r890817 / r890819;
        return r890820;
}

Error

Bits error versus lo

Bits error versus hi

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 62.0

    \[\frac{x - lo}{hi - lo}\]

  2. Final simplification62.0

    \[\leadsto \frac{x - lo}{hi - lo}\]

Reproduce

herbie shell --seed 2019152 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))