Average Error: 62.0 → 62.0
Time: 736.0ms
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 r5870 = x;
        double r5871 = lo;
        double r5872 = r5870 - r5871;
        double r5873 = hi;
        double r5874 = r5873 - r5871;
        double r5875 = r5872 / r5874;
        return r5875;
}
↓
double f(double lo, double hi, double x) {
        double r5876 = x;
        double r5877 = lo;
        double r5878 = r5876 - r5877;
        double r5879 = hi;
        double r5880 = r5879 - r5877;
        double r5881 = r5878 / r5880;
        return r5881;
}

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 2020047 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))