Average Error: 62.0 → 62.0
Time: 5.1s
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 r159401 = x;
        double r159402 = lo;
        double r159403 = r159401 - r159402;
        double r159404 = hi;
        double r159405 = r159404 - r159402;
        double r159406 = r159403 / r159405;
        return r159406;
}
↓
double f(double lo, double hi, double x) {
        double r159407 = x;
        double r159408 = lo;
        double r159409 = r159407 - r159408;
        double r159410 = hi;
        double r159411 = r159410 - r159408;
        double r159412 = r159409 / r159411;
        return r159412;
}

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 2019128 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))