Average Error: 0.1 → 0.1
Time: 2.2s
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 r65950 = x;
        double r65951 = r65950 * r65950;
        double r65952 = 3.0;
        double r65953 = r65951 - r65952;
        double r65954 = 6.0;
        double r65955 = r65953 / r65954;
        return r65955;
}
↓
double f(double x) {
        double r65956 = x;
        double r65957 = r65956 * r65956;
        double r65958 = 3.0;
        double r65959 = r65957 - r65958;
        double r65960 = 6.0;
        double r65961 = r65959 / r65960;
        return r65961;
}

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 2020062 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  :precision binary64
  (/ (- (* x x) 3) 6))