Average Error: 62.0 → 62.0
Time: 4.1s
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 r149521 = x;
        double r149522 = lo;
        double r149523 = r149521 - r149522;
        double r149524 = hi;
        double r149525 = r149524 - r149522;
        double r149526 = r149523 / r149525;
        return r149526;
}
↓
double f(double lo, double hi, double x) {
        double r149527 = x;
        double r149528 = lo;
        double r149529 = r149527 - r149528;
        double r149530 = hi;
        double r149531 = r149530 - r149528;
        double r149532 = r149529 / r149531;
        return r149532;
}

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 2019130 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))