Average Error: 0.2 → 0.2
Time: 3.0s
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 r74387 = x;
        double r74388 = r74387 * r74387;
        double r74389 = 3.0;
        double r74390 = r74388 - r74389;
        double r74391 = 6.0;
        double r74392 = r74390 / r74391;
        return r74392;
}
↓
double f(double x) {
        double r74393 = x;
        double r74394 = r74393 * r74393;
        double r74395 = 3.0;
        double r74396 = r74394 - r74395;
        double r74397 = 6.0;
        double r74398 = r74396 / r74397;
        return r74398;
}

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 2020018 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))