Average Error: 62.0 → 62.0
Time: 3.9s
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 r83803 = x;
        double r83804 = lo;
        double r83805 = r83803 - r83804;
        double r83806 = hi;
        double r83807 = r83806 - r83804;
        double r83808 = r83805 / r83807;
        return r83808;
}
↓
double f(double lo, double hi, double x) {
        double r83809 = x;
        double r83810 = lo;
        double r83811 = r83809 - r83810;
        double r83812 = hi;
        double r83813 = r83812 - r83810;
        double r83814 = r83811 / r83813;
        return r83814;
}

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 2019124 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))