Average Error: 62.0 → 62.0
Time: 734.0ms
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 r4213 = x;
        double r4214 = lo;
        double r4215 = r4213 - r4214;
        double r4216 = hi;
        double r4217 = r4216 - r4214;
        double r4218 = r4215 / r4217;
        return r4218;
}
↓
double f(double lo, double hi, double x) {
        double r4219 = x;
        double r4220 = lo;
        double r4221 = r4219 - r4220;
        double r4222 = hi;
        double r4223 = r4222 - r4220;
        double r4224 = r4221 / r4223;
        return r4224;
}

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 2020025 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))