Average Error: 62.0 → 62.0
Time: 3.4s
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 r1499036 = x;
        double r1499037 = lo;
        double r1499038 = r1499036 - r1499037;
        double r1499039 = hi;
        double r1499040 = r1499039 - r1499037;
        double r1499041 = r1499038 / r1499040;
        return r1499041;
}
↓
double f(double lo, double hi, double x) {
        double r1499042 = x;
        double r1499043 = lo;
        double r1499044 = r1499042 - r1499043;
        double r1499045 = hi;
        double r1499046 = r1499045 - r1499043;
        double r1499047 = r1499044 / r1499046;
        return r1499047;
}

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)))