Average Error: 62.0 → 62.0
Time: 3.7s
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 r141157 = x;
        double r141158 = lo;
        double r141159 = r141157 - r141158;
        double r141160 = hi;
        double r141161 = r141160 - r141158;
        double r141162 = r141159 / r141161;
        return r141162;
}
↓
double f(double lo, double hi, double x) {
        double r141163 = x;
        double r141164 = lo;
        double r141165 = r141163 - r141164;
        double r141166 = hi;
        double r141167 = r141166 - r141164;
        double r141168 = r141165 / r141167;
        return r141168;
}

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 2019139 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))