Average Error: 0.2 → 0.2
Time: 15.3s
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 r6424445 = x;
        double r6424446 = r6424445 * r6424445;
        double r6424447 = 3.0;
        double r6424448 = r6424446 - r6424447;
        double r6424449 = 6.0;
        double r6424450 = r6424448 / r6424449;
        return r6424450;
}

double f(double x) {
        double r6424451 = x;
        double r6424452 = r6424451 * r6424451;
        double r6424453 = 3.0;
        double r6424454 = r6424452 - r6424453;
        double r6424455 = 6.0;
        double r6424456 = r6424454 / r6424455;
        return r6424456;
}

Error

Bits error versus x

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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 2019174 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))