Average Error: 0.1 → 0.1
Time: 44.2s
Precision: 64
\[x \cdot \left(1 - x \cdot y\right)\]
↓
\[\left(1 - x \cdot y\right) \cdot x\]
x \cdot \left(1 - x \cdot y\right)
↓
\left(1 - x \cdot y\right) \cdot x
double f(double x, double y) {
        double r1854005 = x;
        double r1854006 = 1.0;
        double r1854007 = y;
        double r1854008 = r1854005 * r1854007;
        double r1854009 = r1854006 - r1854008;
        double r1854010 = r1854005 * r1854009;
        return r1854010;
}
↓
double f(double x, double y) {
        double r1854011 = 1.0;
        double r1854012 = x;
        double r1854013 = y;
        double r1854014 = r1854012 * r1854013;
        double r1854015 = r1854011 - r1854014;
        double r1854016 = r1854015 * r1854012;
        return r1854016;
}

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

    \[x \cdot \left(1 - x \cdot y\right)\]

  2. Final simplification0.1

    \[\leadsto \left(1 - x \cdot y\right) \cdot x\]

Reproduce

herbie shell --seed 2019200 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A"
  (* x (- 1.0 (* x y))))