Average Error: 0.1 → 0.1
Time: 13.6s
Precision: 64
\[x \cdot \left(1 - x \cdot y\right)\]
↓
\[x \cdot \left(1 - x \cdot y\right)\]
x \cdot \left(1 - x \cdot y\right)
↓
x \cdot \left(1 - x \cdot y\right)
double f(double x, double y) {
        double r56552 = x;
        double r56553 = 1.0;
        double r56554 = y;
        double r56555 = r56552 * r56554;
        double r56556 = r56553 - r56555;
        double r56557 = r56552 * r56556;
        return r56557;
}
↓
double f(double x, double y) {
        double r56558 = x;
        double r56559 = 1.0;
        double r56560 = y;
        double r56561 = r56558 * r56560;
        double r56562 = r56559 - r56561;
        double r56563 = r56558 * r56562;
        return r56563;
}

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

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

Reproduce

herbie shell --seed 2019326 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A"
  :precision binary64
  (* x (- 1 (* x y))))