Average Error: 62.0 → 62.0
Time: 6.2s
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 r19526 = x;
        double r19527 = lo;
        double r19528 = r19526 - r19527;
        double r19529 = hi;
        double r19530 = r19529 - r19527;
        double r19531 = r19528 / r19530;
        return r19531;
}
↓
double f(double lo, double hi, double x) {
        double r19532 = x;
        double r19533 = lo;
        double r19534 = r19532 - r19533;
        double r19535 = hi;
        double r19536 = r19535 - r19533;
        double r19537 = r19534 / r19536;
        return r19537;
}

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)))