Average Error: 0.1 → 0.1
Time: 21.6s
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 r10410232 = x;
        double r10410233 = 1.0;
        double r10410234 = y;
        double r10410235 = r10410232 * r10410234;
        double r10410236 = r10410233 - r10410235;
        double r10410237 = r10410232 * r10410236;
        return r10410237;
}
↓
double f(double x, double y) {
        double r10410238 = x;
        double r10410239 = 1.0;
        double r10410240 = y;
        double r10410241 = r10410238 * r10410240;
        double r10410242 = r10410239 - r10410241;
        double r10410243 = r10410238 * r10410242;
        return r10410243;
}

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 2019173 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A"
  (* x (- 1.0 (* x y))))