Average Error: 0.2 → 0.2
Time: 1.9s
Precision: 64
\[\frac{x \cdot x - 3}{6}\]
↓
\[\frac{1}{\frac{6}{x \cdot x - 3}}\]
\frac{x \cdot x - 3}{6}
↓
\frac{1}{\frac{6}{x \cdot x - 3}}
double f(double x) {
        double r97409 = x;
        double r97410 = r97409 * r97409;
        double r97411 = 3.0;
        double r97412 = r97410 - r97411;
        double r97413 = 6.0;
        double r97414 = r97412 / r97413;
        return r97414;
}
↓
double f(double x) {
        double r97415 = 1.0;
        double r97416 = 6.0;
        double r97417 = x;
        double r97418 = r97417 * r97417;
        double r97419 = 3.0;
        double r97420 = r97418 - r97419;
        double r97421 = r97416 / r97420;
        double r97422 = r97415 / r97421;
        return r97422;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{x \cdot x - 3}{6}\]
  2. Using strategy rm

  3. Applied clear-num0.2

    \[\leadsto \color{blue}{\frac{1}{\frac{6}{x \cdot x - 3}}}\]

  4. Final simplification0.2

    \[\leadsto \frac{1}{\frac{6}{x \cdot x - 3}}\]

Reproduce

herbie shell --seed 2020025 
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))