Average Error: 62.0 → 62.0
Time: 2.8s
Precision: 64
\[lo \lt -1 \cdot 10^{+308} \land hi \gt 10^{+308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r1014511 = x;
        double r1014512 = lo;
        double r1014513 = r1014511 - r1014512;
        double r1014514 = hi;
        double r1014515 = r1014514 - r1014512;
        double r1014516 = r1014513 / r1014515;
        return r1014516;
}
↓
double f(double lo, double hi, double x) {
        double r1014517 = x;
        double r1014518 = lo;
        double r1014519 = r1014517 - r1014518;
        double r1014520 = hi;
        double r1014521 = r1014520 - r1014518;
        double r1014522 = r1014519 / r1014521;
        return r1014522;
}

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 2019146 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))