Average Error: 62.0 → 62.0
Time: 2.6s
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 r981362 = x;
        double r981363 = lo;
        double r981364 = r981362 - r981363;
        double r981365 = hi;
        double r981366 = r981365 - r981363;
        double r981367 = r981364 / r981366;
        return r981367;
}
↓
double f(double lo, double hi, double x) {
        double r981368 = x;
        double r981369 = lo;
        double r981370 = r981368 - r981369;
        double r981371 = hi;
        double r981372 = r981371 - r981369;
        double r981373 = r981370 / r981372;
        return r981373;
}

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 2019152 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))