Average Error: 0.1 → 0.1
Time: 19.0s
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 r3216771 = x;
        double r3216772 = 1.0;
        double r3216773 = y;
        double r3216774 = r3216771 * r3216773;
        double r3216775 = r3216772 - r3216774;
        double r3216776 = r3216771 * r3216775;
        return r3216776;
}
↓
double f(double x, double y) {
        double r3216777 = 1.0;
        double r3216778 = x;
        double r3216779 = y;
        double r3216780 = r3216778 * r3216779;
        double r3216781 = r3216777 - r3216780;
        double r3216782 = r3216781 * r3216778;
        return r3216782;
}

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

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

  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))))