Average Error: 62.0 → 62.0
Time: 3.3s
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 r1498968 = x;
        double r1498969 = lo;
        double r1498970 = r1498968 - r1498969;
        double r1498971 = hi;
        double r1498972 = r1498971 - r1498969;
        double r1498973 = r1498970 / r1498972;
        return r1498973;
}

double f(double lo, double hi, double x) {
        double r1498974 = x;
        double r1498975 = lo;
        double r1498976 = r1498974 - r1498975;
        double r1498977 = hi;
        double r1498978 = r1498977 - r1498975;
        double r1498979 = r1498976 / r1498978;
        return r1498979;
}

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 2019162 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))