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 r129994 = x;
        double r129995 = lo;
        double r129996 = r129994 - r129995;
        double r129997 = hi;
        double r129998 = r129997 - r129995;
        double r129999 = r129996 / r129998;
        return r129999;
}
↓
double f(double lo, double hi, double x) {
        double r130000 = x;
        double r130001 = lo;
        double r130002 = r130000 - r130001;
        double r130003 = hi;
        double r130004 = r130003 - r130001;
        double r130005 = r130002 / r130004;
        return r130005;
}

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 2019141 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))