Average Error: 62.0 → 62.0
Time: 3.2s
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 r1407437 = x;
        double r1407438 = lo;
        double r1407439 = r1407437 - r1407438;
        double r1407440 = hi;
        double r1407441 = r1407440 - r1407438;
        double r1407442 = r1407439 / r1407441;
        return r1407442;
}
↓
double f(double lo, double hi, double x) {
        double r1407443 = x;
        double r1407444 = lo;
        double r1407445 = r1407443 - r1407444;
        double r1407446 = hi;
        double r1407447 = r1407446 - r1407444;
        double r1407448 = r1407445 / r1407447;
        return r1407448;
}

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 2019168 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))