Average Error: 0.1 → 0.1
Time: 2.4s
Precision: 64
\[\frac{x \cdot x - 3}{6}\]
↓
\[\left(x \cdot x - 3\right) \cdot \frac{1}{6}\]
\frac{x \cdot x - 3}{6}
↓
\left(x \cdot x - 3\right) \cdot \frac{1}{6}
double f(double x) {
        double r69232 = x;
        double r69233 = r69232 * r69232;
        double r69234 = 3.0;
        double r69235 = r69233 - r69234;
        double r69236 = 6.0;
        double r69237 = r69235 / r69236;
        return r69237;
}
↓
double f(double x) {
        double r69238 = x;
        double r69239 = r69238 * r69238;
        double r69240 = 3.0;
        double r69241 = r69239 - r69240;
        double r69242 = 1.0;
        double r69243 = 6.0;
        double r69244 = r69242 / r69243;
        double r69245 = r69241 * r69244;
        return r69245;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  3. Applied div-inv0.1

    \[\leadsto \color{blue}{\left(x \cdot x - 3\right) \cdot \frac{1}{6}}\]

  4. Final simplification0.1

    \[\leadsto \left(x \cdot x - 3\right) \cdot \frac{1}{6}\]

Reproduce

herbie shell --seed 2020039 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))