Average Error: 62.0 → 62.0
Time: 4.0s
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 r127963 = x;
        double r127964 = lo;
        double r127965 = r127963 - r127964;
        double r127966 = hi;
        double r127967 = r127966 - r127964;
        double r127968 = r127965 / r127967;
        return r127968;
}
↓
double f(double lo, double hi, double x) {
        double r127969 = x;
        double r127970 = lo;
        double r127971 = r127969 - r127970;
        double r127972 = hi;
        double r127973 = r127972 - r127970;
        double r127974 = r127971 / r127973;
        return r127974;
}

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 2019129 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))