Average Error: 62.0 → 62.0
Time: 3.2s
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 r596601 = x;
        double r596602 = lo;
        double r596603 = r596601 - r596602;
        double r596604 = hi;
        double r596605 = r596604 - r596602;
        double r596606 = r596603 / r596605;
        return r596606;
}
↓
double f(double lo, double hi, double x) {
        double r596607 = x;
        double r596608 = lo;
        double r596609 = r596607 - r596608;
        double r596610 = hi;
        double r596611 = r596610 - r596608;
        double r596612 = r596609 / r596611;
        return r596612;
}

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 2019152 +o rules:numerics
(FPCore (lo hi x)
  :name "(/ (- x lo) (- hi lo))"
  :pre (and (< lo -1e+308) (> hi 1e+308))
  (/ (- x lo) (- hi lo)))