Average Error: 62.0 → 62.0
Time: 4.4s
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 r10616 = x;
        double r10617 = lo;
        double r10618 = r10616 - r10617;
        double r10619 = hi;
        double r10620 = r10619 - r10617;
        double r10621 = r10618 / r10620;
        return r10621;
}
↓
double f(double lo, double hi, double x) {
        double r10622 = x;
        double r10623 = lo;
        double r10624 = r10622 - r10623;
        double r10625 = hi;
        double r10626 = r10625 - r10623;
        double r10627 = r10624 / r10626;
        return r10627;
}

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 2019323 +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)))