Average Error: 0.1 → 0.1
Time: 17.6s
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 r58203 = x;
        double r58204 = r58203 * r58203;
        double r58205 = 3.0;
        double r58206 = r58204 - r58205;
        double r58207 = 6.0;
        double r58208 = r58206 / r58207;
        return r58208;
}
↓
double f(double x) {
        double r58209 = x;
        double r58210 = r58209 * r58209;
        double r58211 = 3.0;
        double r58212 = r58210 - r58211;
        double r58213 = 6.0;
        double r58214 = r58212 / r58213;
        return r58214;
}

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 2019322 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))