Average Error: 0.1 → 0.1
Time: 13.3s
Precision: 64
\[x \cdot \left(1.0 - x \cdot y\right)\]
↓
\[\left(1.0 - x \cdot y\right) \cdot x\]
x \cdot \left(1.0 - x \cdot y\right)
↓
\left(1.0 - x \cdot y\right) \cdot x
double f(double x, double y) {
        double r2226682 = x;
        double r2226683 = 1.0;
        double r2226684 = y;
        double r2226685 = r2226682 * r2226684;
        double r2226686 = r2226683 - r2226685;
        double r2226687 = r2226682 * r2226686;
        return r2226687;
}
↓
double f(double x, double y) {
        double r2226688 = 1.0;
        double r2226689 = x;
        double r2226690 = y;
        double r2226691 = r2226689 * r2226690;
        double r2226692 = r2226688 - r2226691;
        double r2226693 = r2226692 * r2226689;
        return r2226693;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[x \cdot \left(1.0 - x \cdot y\right)\]

  2. Final simplification0.1

    \[\leadsto \left(1.0 - x \cdot y\right) \cdot x\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A"
  (* x (- 1.0 (* x y))))