Average Error: 62.0 → 62.0
Time: 3.2s
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 r438249 = x;
        double r438250 = lo;
        double r438251 = r438249 - r438250;
        double r438252 = hi;
        double r438253 = r438252 - r438250;
        double r438254 = r438251 / r438253;
        return r438254;
}
↓
double f(double lo, double hi, double x) {
        double r438255 = x;
        double r438256 = lo;
        double r438257 = r438255 - r438256;
        double r438258 = hi;
        double r438259 = r438258 - r438256;
        double r438260 = r438257 / r438259;
        return r438260;
}

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 2019153 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))