Average Error: 62.0 → 62.0
Time: 2.7s
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 r1091292 = x;
        double r1091293 = lo;
        double r1091294 = r1091292 - r1091293;
        double r1091295 = hi;
        double r1091296 = r1091295 - r1091293;
        double r1091297 = r1091294 / r1091296;
        return r1091297;
}
↓
double f(double lo, double hi, double x) {
        double r1091298 = x;
        double r1091299 = lo;
        double r1091300 = r1091298 - r1091299;
        double r1091301 = hi;
        double r1091302 = r1091301 - r1091299;
        double r1091303 = r1091300 / r1091302;
        return r1091303;
}

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 2019143 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))