Average Error: 62.0 → 62.0
Time: 2.4s
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 r13128 = x;
        double r13129 = lo;
        double r13130 = r13128 - r13129;
        double r13131 = hi;
        double r13132 = r13131 - r13129;
        double r13133 = r13130 / r13132;
        return r13133;
}
↓
double f(double lo, double hi, double x) {
        double r13134 = x;
        double r13135 = lo;
        double r13136 = r13134 - r13135;
        double r13137 = hi;
        double r13138 = r13137 - r13135;
        double r13139 = r13136 / r13138;
        return r13139;
}

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)))