Average Error: 0.2 → 0.2
Time: 2.5s
Precision: 64
\[\frac{x \cdot x - 3}{6}\]
↓
\[\frac{x \cdot x - 3}{6}\]
\frac{x \cdot x - 3}{6}
↓
\frac{x \cdot x - 3}{6}
double f(double x) {
        double r60395 = x;
        double r60396 = r60395 * r60395;
        double r60397 = 3.0;
        double r60398 = r60396 - r60397;
        double r60399 = 6.0;
        double r60400 = r60398 / r60399;
        return r60400;
}
↓
double f(double x) {
        double r60401 = x;
        double r60402 = r60401 * r60401;
        double r60403 = 3.0;
        double r60404 = r60402 - r60403;
        double r60405 = 6.0;
        double r60406 = r60404 / r60405;
        return r60406;
}

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2020033 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))