Average Error: 62.0 → 62.0
Time: 2.8s
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 r1261357 = x;
        double r1261358 = lo;
        double r1261359 = r1261357 - r1261358;
        double r1261360 = hi;
        double r1261361 = r1261360 - r1261358;
        double r1261362 = r1261359 / r1261361;
        return r1261362;
}
↓
double f(double lo, double hi, double x) {
        double r1261363 = x;
        double r1261364 = lo;
        double r1261365 = r1261363 - r1261364;
        double r1261366 = hi;
        double r1261367 = r1261366 - r1261364;
        double r1261368 = r1261365 / r1261367;
        return r1261368;
}

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