Average Error: 62.0 → 62.0
Time: 4.4s
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 r190406 = x;
        double r190407 = lo;
        double r190408 = r190406 - r190407;
        double r190409 = hi;
        double r190410 = r190409 - r190407;
        double r190411 = r190408 / r190410;
        return r190411;
}
↓
double f(double lo, double hi, double x) {
        double r190412 = x;
        double r190413 = lo;
        double r190414 = r190412 - r190413;
        double r190415 = hi;
        double r190416 = r190415 - r190413;
        double r190417 = r190414 / r190416;
        return r190417;
}

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 2019134 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))