Average Error: 62.0 → 62.0
Time: 2.8s
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 r352587 = x;
        double r352588 = lo;
        double r352589 = r352587 - r352588;
        double r352590 = hi;
        double r352591 = r352590 - r352588;
        double r352592 = r352589 / r352591;
        return r352592;
}
↓
double f(double lo, double hi, double x) {
        double r352593 = x;
        double r352594 = lo;
        double r352595 = r352593 - r352594;
        double r352596 = hi;
        double r352597 = r352596 - r352594;
        double r352598 = r352595 / r352597;
        return r352598;
}

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 2019154 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))