Average Error: 0.1 → 0.1
Time: 11.4s
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 r54719 = x;
        double r54720 = 1.0;
        double r54721 = y;
        double r54722 = r54719 * r54721;
        double r54723 = r54720 - r54722;
        double r54724 = r54719 * r54723;
        return r54724;
}
↓
double f(double x, double y) {
        double r54725 = 1.0;
        double r54726 = x;
        double r54727 = y;
        double r54728 = r54726 * r54727;
        double r54729 = r54725 - r54728;
        double r54730 = r54729 * r54726;
        return r54730;
}

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 2019179 
(FPCore (x y)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A"
  (* x (- 1.0 (* x y))))