Average Error: 62.0 → 62.0
Time: 785.0ms
Precision: 64
\[lo \lt -1.000000000000000010979063629440455417405 \cdot 10^{308} \land hi \gt 1.000000000000000010979063629440455417405 \cdot 10^{308}\]
\[\frac{x - lo}{hi - lo}\]
↓
\[\frac{x - lo}{hi - lo}\]
\frac{x - lo}{hi - lo}
↓
\frac{x - lo}{hi - lo}
double f(double lo, double hi, double x) {
        double r3967 = x;
        double r3968 = lo;
        double r3969 = r3967 - r3968;
        double r3970 = hi;
        double r3971 = r3970 - r3968;
        double r3972 = r3969 / r3971;
        return r3972;
}
↓
double f(double lo, double hi, double x) {
        double r3973 = x;
        double r3974 = lo;
        double r3975 = r3973 - r3974;
        double r3976 = hi;
        double r3977 = r3976 - r3974;
        double r3978 = r3975 / r3977;
        return r3978;
}

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 2019354 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))