Average Error: 62.0 → 62.0
Time: 834.0ms
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 r4572 = x;
        double r4573 = lo;
        double r4574 = r4572 - r4573;
        double r4575 = hi;
        double r4576 = r4575 - r4573;
        double r4577 = r4574 / r4576;
        return r4577;
}
↓
double f(double lo, double hi, double x) {
        double r4578 = x;
        double r4579 = lo;
        double r4580 = r4578 - r4579;
        double r4581 = hi;
        double r4582 = r4581 - r4579;
        double r4583 = r4580 / r4582;
        return r4583;
}

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 2020021 
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :precision binary64
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))