Average Error: 62.0 → 62.0
Time: 3.4s
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 r469990 = x;
        double r469991 = lo;
        double r469992 = r469990 - r469991;
        double r469993 = hi;
        double r469994 = r469993 - r469991;
        double r469995 = r469992 / r469994;
        return r469995;
}
↓
double f(double lo, double hi, double x) {
        double r469996 = x;
        double r469997 = lo;
        double r469998 = r469996 - r469997;
        double r469999 = hi;
        double r470000 = r469999 - r469997;
        double r470001 = r469998 / r470000;
        return r470001;
}

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 2019155 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))