Average Error: 0.1 → 0.1
Time: 13.5s
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 r3168798 = x;
        double r3168799 = r3168798 * r3168798;
        double r3168800 = 3.0;
        double r3168801 = r3168799 - r3168800;
        double r3168802 = 6.0;
        double r3168803 = r3168801 / r3168802;
        return r3168803;
}
↓
double f(double x) {
        double r3168804 = x;
        double r3168805 = r3168804 * r3168804;
        double r3168806 = 3.0;
        double r3168807 = r3168805 - r3168806;
        double r3168808 = 6.0;
        double r3168809 = r3168807 / r3168808;
        return r3168809;
}

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. Final simplification0.1

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

Reproduce

herbie shell --seed 2019172 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))