Average Error: 62.0 → 62.0
Time: 3.0s
Precision: 64
\[lo \lt -1.000000000000000010979063629440455417405 \cdot 10^{308} \land hi \gt 1.000000000000000010979063629440455417405 \cdot 10^{308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r19056 = x;
        double r19057 = lo;
        double r19058 = r19056 - r19057;
        double r19059 = hi;
        double r19060 = r19059 - r19057;
        double r19061 = r19058 / r19060;
        return r19061;
}
↓
double f(double lo, double hi, double x) {
        double r19062 = x;
        double r19063 = lo;
        double r19064 = r19062 - r19063;
        double r19065 = hi;
        double r19066 = r19065 - r19063;
        double r19067 = r19064 / r19066;
        return r19067;
}

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 2019195 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))