Average Error: 62.0 → 62.0
Time: 786.0ms
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 r3453 = x;
        double r3454 = lo;
        double r3455 = r3453 - r3454;
        double r3456 = hi;
        double r3457 = r3456 - r3454;
        double r3458 = r3455 / r3457;
        return r3458;
}
↓
double f(double lo, double hi, double x) {
        double r3459 = x;
        double r3460 = lo;
        double r3461 = r3459 - r3460;
        double r3462 = hi;
        double r3463 = r3462 - r3460;
        double r3464 = r3461 / r3463;
        return r3464;
}

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 2019362 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))