Average Error: 0.1 → 0.1
Time: 14.5s
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 r4178404 = x;
        double r4178405 = r4178404 * r4178404;
        double r4178406 = 3.0;
        double r4178407 = r4178405 - r4178406;
        double r4178408 = 6.0;
        double r4178409 = r4178407 / r4178408;
        return r4178409;
}
↓
double f(double x) {
        double r4178410 = x;
        double r4178411 = r4178410 * r4178410;
        double r4178412 = 3.0;
        double r4178413 = r4178411 - r4178412;
        double r4178414 = 6.0;
        double r4178415 = r4178413 / r4178414;
        return r4178415;
}

Error

Bits error versus x

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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 2019169 +o rules:numerics
(FPCore (x)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H"
  (/ (- (* x x) 3.0) 6.0))