Average Error: 62.0 → 62.0
Time: 4.7s
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 r14985 = x;
        double r14986 = lo;
        double r14987 = r14985 - r14986;
        double r14988 = hi;
        double r14989 = r14988 - r14986;
        double r14990 = r14987 / r14989;
        return r14990;
}
↓
double f(double lo, double hi, double x) {
        double r14991 = x;
        double r14992 = lo;
        double r14993 = r14991 - r14992;
        double r14994 = hi;
        double r14995 = r14994 - r14992;
        double r14996 = r14993 / r14995;
        return r14996;
}

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 2019306 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))