Average Error: 62.0 → 62.0
Time: 764.0ms
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 r10797 = x;
        double r10798 = lo;
        double r10799 = r10797 - r10798;
        double r10800 = hi;
        double r10801 = r10800 - r10798;
        double r10802 = r10799 / r10801;
        return r10802;
}
↓
double f(double lo, double hi, double x) {
        double r10803 = x;
        double r10804 = lo;
        double r10805 = r10803 - r10804;
        double r10806 = hi;
        double r10807 = r10806 - r10804;
        double r10808 = r10805 / r10807;
        return r10808;
}

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 2019352 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))