Average Error: 62.0 → 62.0
Time: 4.4s
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 r20452 = x;
        double r20453 = lo;
        double r20454 = r20452 - r20453;
        double r20455 = hi;
        double r20456 = r20455 - r20453;
        double r20457 = r20454 / r20456;
        return r20457;
}
↓
double f(double lo, double hi, double x) {
        double r20458 = x;
        double r20459 = lo;
        double r20460 = r20458 - r20459;
        double r20461 = hi;
        double r20462 = r20461 - r20459;
        double r20463 = r20460 / r20462;
        return r20463;
}

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 2019325 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))