Average Error: 62.0 → 62.0
Time: 3.3s
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 r17448 = x;
        double r17449 = lo;
        double r17450 = r17448 - r17449;
        double r17451 = hi;
        double r17452 = r17451 - r17449;
        double r17453 = r17450 / r17452;
        return r17453;
}
↓
double f(double lo, double hi, double x) {
        double r17454 = x;
        double r17455 = lo;
        double r17456 = r17454 - r17455;
        double r17457 = hi;
        double r17458 = r17457 - r17455;
        double r17459 = r17456 / r17458;
        return r17459;
}

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 2019198 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))