Average Error: 0.1 → 0.1
Time: 14.3s
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 r1984214 = x;
        double r1984215 = r1984214 * r1984214;
        double r1984216 = 3.0;
        double r1984217 = r1984215 - r1984216;
        double r1984218 = 6.0;
        double r1984219 = r1984217 / r1984218;
        return r1984219;
}
↓
double f(double x) {
        double r1984220 = x;
        double r1984221 = r1984220 * r1984220;
        double r1984222 = 3.0;
        double r1984223 = r1984221 - r1984222;
        double r1984224 = 6.0;
        double r1984225 = r1984223 / r1984224;
        return r1984225;
}

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