Average Error: 0.1 → 0.1
Time: 34.4s
Precision: 64
\[\frac{x \cdot x - 3}{6}\]
↓
\[\frac{x \cdot x}{6} - \frac{3}{6}\]
\frac{x \cdot x - 3}{6}
↓
\frac{x \cdot x}{6} - \frac{3}{6}
double f(double x) {
        double r3692453 = x;
        double r3692454 = r3692453 * r3692453;
        double r3692455 = 3.0;
        double r3692456 = r3692454 - r3692455;
        double r3692457 = 6.0;
        double r3692458 = r3692456 / r3692457;
        return r3692458;
}
↓
double f(double x) {
        double r3692459 = x;
        double r3692460 = r3692459 * r3692459;
        double r3692461 = 6.0;
        double r3692462 = r3692460 / r3692461;
        double r3692463 = 3.0;
        double r3692464 = r3692463 / r3692461;
        double r3692465 = r3692462 - r3692464;
        return r3692465;
}

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-sub0.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2019200 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))