Average Error: 62.0 → 62.0
Time: 3.7s
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 r148228 = x;
        double r148229 = lo;
        double r148230 = r148228 - r148229;
        double r148231 = hi;
        double r148232 = r148231 - r148229;
        double r148233 = r148230 / r148232;
        return r148233;
}
↓
double f(double lo, double hi, double x) {
        double r148234 = x;
        double r148235 = lo;
        double r148236 = r148234 - r148235;
        double r148237 = hi;
        double r148238 = r148237 - r148235;
        double r148239 = r148236 / r148238;
        return r148239;
}

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 2019135 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))