Average Error: 0.2 → 0.2
Time: 10.2s
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 r2950192 = x;
        double r2950193 = r2950192 * r2950192;
        double r2950194 = 3.0;
        double r2950195 = r2950193 - r2950194;
        double r2950196 = 6.0;
        double r2950197 = r2950195 / r2950196;
        return r2950197;
}
↓
double f(double x) {
        double r2950198 = x;
        double r2950199 = r2950198 * r2950198;
        double r2950200 = 3.0;
        double r2950201 = r2950199 - r2950200;
        double r2950202 = 6.0;
        double r2950203 = r2950201 / r2950202;
        return r2950203;
}

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 2019192 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))