Average Error: 62.0 → 62.0
Time: 2.5s
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 r13136 = x;
        double r13137 = lo;
        double r13138 = r13136 - r13137;
        double r13139 = hi;
        double r13140 = r13139 - r13137;
        double r13141 = r13138 / r13140;
        return r13141;
}
↓
double f(double lo, double hi, double x) {
        double r13142 = x;
        double r13143 = lo;
        double r13144 = r13142 - r13143;
        double r13145 = hi;
        double r13146 = r13145 - r13143;
        double r13147 = r13144 / r13146;
        return r13147;
}

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 2020042 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))