Average Error: 0.1 → 0.1
Time: 12.6s
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 r59042 = x;
        double r59043 = 1.0;
        double r59044 = y;
        double r59045 = r59042 * r59044;
        double r59046 = r59043 - r59045;
        double r59047 = r59042 * r59046;
        return r59047;
}
↓
double f(double x, double y) {
        double r59048 = 1.0;
        double r59049 = x;
        double r59050 = y;
        double r59051 = r59049 * r59050;
        double r59052 = r59048 - r59051;
        double r59053 = r59052 * r59049;
        return r59053;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A"
  (* x (- 1.0 (* x y))))