Average Error: 62.0 → 62.0
Time: 938.0ms
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 r3997 = x;
        double r3998 = lo;
        double r3999 = r3997 - r3998;
        double r4000 = hi;
        double r4001 = r4000 - r3998;
        double r4002 = r3999 / r4001;
        return r4002;
}
↓
double f(double lo, double hi, double x) {
        double r4003 = x;
        double r4004 = lo;
        double r4005 = r4003 - r4004;
        double r4006 = hi;
        double r4007 = r4006 - r4004;
        double r4008 = r4005 / r4007;
        return r4008;
}

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 2020081 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))