Average Error: 62.0 → 62.0
Time: 3.0s
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 r3011617 = x;
        double r3011618 = lo;
        double r3011619 = r3011617 - r3011618;
        double r3011620 = hi;
        double r3011621 = r3011620 - r3011618;
        double r3011622 = r3011619 / r3011621;
        return r3011622;
}
↓
double f(double lo, double hi, double x) {
        double r3011623 = x;
        double r3011624 = lo;
        double r3011625 = r3011623 - r3011624;
        double r3011626 = hi;
        double r3011627 = r3011626 - r3011624;
        double r3011628 = r3011625 / r3011627;
        return r3011628;
}

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 2019158 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))