Average Error: 62.0 → 62.0
Time: 1.0s
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 r26966 = x;
        double r26967 = lo;
        double r26968 = r26966 - r26967;
        double r26969 = hi;
        double r26970 = r26969 - r26967;
        double r26971 = r26968 / r26970;
        return r26971;
}
↓
double f(double lo, double hi, double x) {
        double r26972 = x;
        double r26973 = lo;
        double r26974 = r26972 - r26973;
        double r26975 = hi;
        double r26976 = r26975 - r26973;
        double r26977 = r26974 / r26976;
        return r26977;
}

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 2020083 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))