Average Error: 62.0 → 62.0
Time: 723.0ms
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 r20224 = x;
        double r20225 = lo;
        double r20226 = r20224 - r20225;
        double r20227 = hi;
        double r20228 = r20227 - r20225;
        double r20229 = r20226 / r20228;
        return r20229;
}
↓
double f(double lo, double hi, double x) {
        double r20230 = x;
        double r20231 = lo;
        double r20232 = r20230 - r20231;
        double r20233 = hi;
        double r20234 = r20233 - r20231;
        double r20235 = r20232 / r20234;
        return r20235;
}

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 2020060 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))