Average Error: 62.0 → 62.0
Time: 3.9s
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 r149536 = x;
        double r149537 = lo;
        double r149538 = r149536 - r149537;
        double r149539 = hi;
        double r149540 = r149539 - r149537;
        double r149541 = r149538 / r149540;
        return r149541;
}
↓
double f(double lo, double hi, double x) {
        double r149542 = x;
        double r149543 = lo;
        double r149544 = r149542 - r149543;
        double r149545 = hi;
        double r149546 = r149545 - r149543;
        double r149547 = r149544 / r149546;
        return r149547;
}

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 2019132 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))