Average Error: 62.0 → 62.0
Time: 2.4s
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 r602410 = x;
        double r602411 = lo;
        double r602412 = r602410 - r602411;
        double r602413 = hi;
        double r602414 = r602413 - r602411;
        double r602415 = r602412 / r602414;
        return r602415;
}
↓
double f(double lo, double hi, double x) {
        double r602416 = x;
        double r602417 = lo;
        double r602418 = r602416 - r602417;
        double r602419 = hi;
        double r602420 = r602419 - r602417;
        double r602421 = r602418 / r602420;
        return r602421;
}

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 2019153 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))