Average Error: 62.0 → 62.0
Time: 750.0ms
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 r11519 = x;
        double r11520 = lo;
        double r11521 = r11519 - r11520;
        double r11522 = hi;
        double r11523 = r11522 - r11520;
        double r11524 = r11521 / r11523;
        return r11524;
}
↓
double f(double lo, double hi, double x) {
        double r11525 = x;
        double r11526 = lo;
        double r11527 = r11525 - r11526;
        double r11528 = hi;
        double r11529 = r11528 - r11526;
        double r11530 = r11527 / r11529;
        return r11530;
}

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 2019346 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))