Average Error: 62.0 → 62.0
Time: 2.8s
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 r466450 = x;
        double r466451 = lo;
        double r466452 = r466450 - r466451;
        double r466453 = hi;
        double r466454 = r466453 - r466451;
        double r466455 = r466452 / r466454;
        return r466455;
}
↓
double f(double lo, double hi, double x) {
        double r466456 = x;
        double r466457 = lo;
        double r466458 = r466456 - r466457;
        double r466459 = hi;
        double r466460 = r466459 - r466457;
        double r466461 = r466458 / r466460;
        return r466461;
}

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 2019156 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))