Average Error: 0.1 → 0.1
Time: 44.5s
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 r3418560 = x;
        double r3418561 = 1.0;
        double r3418562 = y;
        double r3418563 = r3418560 * r3418562;
        double r3418564 = r3418561 - r3418563;
        double r3418565 = r3418560 * r3418564;
        return r3418565;
}
↓
double f(double x, double y) {
        double r3418566 = 1.0;
        double r3418567 = x;
        double r3418568 = y;
        double r3418569 = r3418567 * r3418568;
        double r3418570 = r3418566 - r3418569;
        double r3418571 = r3418570 * r3418567;
        return r3418571;
}

Error

Bits error versus x

Bits error versus y

Try it out

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 2019168 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A"
  (* x (- 1.0 (* x y))))