Average Error: 62.0 → 62.0
Time: 3.1s
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 r1094394 = x;
        double r1094395 = lo;
        double r1094396 = r1094394 - r1094395;
        double r1094397 = hi;
        double r1094398 = r1094397 - r1094395;
        double r1094399 = r1094396 / r1094398;
        return r1094399;
}
↓
double f(double lo, double hi, double x) {
        double r1094400 = x;
        double r1094401 = lo;
        double r1094402 = r1094400 - r1094401;
        double r1094403 = hi;
        double r1094404 = r1094403 - r1094401;
        double r1094405 = r1094402 / r1094404;
        return r1094405;
}

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 2019144 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))