Average Error: 0.2 → 0.2
Time: 12.8s
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 r70987 = x;
        double r70988 = r70987 * r70987;
        double r70989 = 3.0;
        double r70990 = r70988 - r70989;
        double r70991 = 6.0;
        double r70992 = r70990 / r70991;
        return r70992;
}
↓
double f(double x) {
        double r70993 = x;
        double r70994 = r70993 * r70993;
        double r70995 = 3.0;
        double r70996 = r70994 - r70995;
        double r70997 = 6.0;
        double r70998 = r70996 / r70997;
        return r70998;
}

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