Average Error: 62.0 → 62.0
Time: 3.5s
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 r1215130 = x;
        double r1215131 = lo;
        double r1215132 = r1215130 - r1215131;
        double r1215133 = hi;
        double r1215134 = r1215133 - r1215131;
        double r1215135 = r1215132 / r1215134;
        return r1215135;
}
↓
double f(double lo, double hi, double x) {
        double r1215136 = x;
        double r1215137 = lo;
        double r1215138 = r1215136 - r1215137;
        double r1215139 = hi;
        double r1215140 = r1215139 - r1215137;
        double r1215141 = r1215138 / r1215140;
        return r1215141;
}

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 2019158 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))