Average Error: 62.0 → 62.0
Time: 3.2s
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 r1282149 = x;
        double r1282150 = lo;
        double r1282151 = r1282149 - r1282150;
        double r1282152 = hi;
        double r1282153 = r1282152 - r1282150;
        double r1282154 = r1282151 / r1282153;
        return r1282154;
}
↓
double f(double lo, double hi, double x) {
        double r1282155 = x;
        double r1282156 = lo;
        double r1282157 = r1282155 - r1282156;
        double r1282158 = hi;
        double r1282159 = r1282158 - r1282156;
        double r1282160 = r1282157 / r1282159;
        return r1282160;
}

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 2019164 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))