Average Error: 62.0 → 62.0
Time: 3.4s
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 r130007 = x;
        double r130008 = lo;
        double r130009 = r130007 - r130008;
        double r130010 = hi;
        double r130011 = r130010 - r130008;
        double r130012 = r130009 / r130011;
        return r130012;
}
↓
double f(double lo, double hi, double x) {
        double r130013 = x;
        double r130014 = lo;
        double r130015 = r130013 - r130014;
        double r130016 = hi;
        double r130017 = r130016 - r130014;
        double r130018 = r130015 / r130017;
        return r130018;
}

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 2019138 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))