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 r1429313 = x;
        double r1429314 = lo;
        double r1429315 = r1429313 - r1429314;
        double r1429316 = hi;
        double r1429317 = r1429316 - r1429314;
        double r1429318 = r1429315 / r1429317;
        return r1429318;
}
↓
double f(double lo, double hi, double x) {
        double r1429319 = x;
        double r1429320 = lo;
        double r1429321 = r1429319 - r1429320;
        double r1429322 = hi;
        double r1429323 = r1429322 - r1429320;
        double r1429324 = r1429321 / r1429323;
        return r1429324;
}

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 2019146 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))