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 r127938 = x;
        double r127939 = lo;
        double r127940 = r127938 - r127939;
        double r127941 = hi;
        double r127942 = r127941 - r127939;
        double r127943 = r127940 / r127942;
        return r127943;
}
↓
double f(double lo, double hi, double x) {
        double r127944 = x;
        double r127945 = lo;
        double r127946 = r127944 - r127945;
        double r127947 = hi;
        double r127948 = r127947 - r127945;
        double r127949 = r127946 / r127948;
        return r127949;
}

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 2019135 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))