Average Error: 62.0 → 62.0
Time: 3.7s
Precision: 64
\[lo \lt -1.000000000000000010979063629440455417405 \cdot 10^{308} \land hi \gt 1.000000000000000010979063629440455417405 \cdot 10^{308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r23938 = x;
        double r23939 = lo;
        double r23940 = r23938 - r23939;
        double r23941 = hi;
        double r23942 = r23941 - r23939;
        double r23943 = r23940 / r23942;
        return r23943;
}
↓
double f(double lo, double hi, double x) {
        double r23944 = x;
        double r23945 = lo;
        double r23946 = r23944 - r23945;
        double r23947 = hi;
        double r23948 = r23947 - r23945;
        double r23949 = r23946 / r23948;
        return r23949;
}

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 2019179 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))