Average Error: 62.0 → 62.0
Time: 1.7s
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 r13405 = x;
        double r13406 = lo;
        double r13407 = r13405 - r13406;
        double r13408 = hi;
        double r13409 = r13408 - r13406;
        double r13410 = r13407 / r13409;
        return r13410;
}
↓
double f(double lo, double hi, double x) {
        double r13411 = x;
        double r13412 = lo;
        double r13413 = r13411 - r13412;
        double r13414 = hi;
        double r13415 = r13414 - r13412;
        double r13416 = r13413 / r13415;
        return r13416;
}

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 2019298 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e308) (> hi 1e308))
  (/ (- x lo) (- hi lo)))