Average Error: 62.0 → 62.0
Time: 3.2s
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 r28731 = x;
        double r28732 = lo;
        double r28733 = r28731 - r28732;
        double r28734 = hi;
        double r28735 = r28734 - r28732;
        double r28736 = r28733 / r28735;
        return r28736;
}
↓
double f(double lo, double hi, double x) {
        double r28737 = x;
        double r28738 = lo;
        double r28739 = r28737 - r28738;
        double r28740 = hi;
        double r28741 = r28740 - r28738;
        double r28742 = r28739 / r28741;
        return r28742;
}

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 2019194 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))