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 r57260 = x;
        double r57261 = 1.0;
        double r57262 = y;
        double r57263 = r57260 * r57262;
        double r57264 = r57261 - r57263;
        double r57265 = r57260 * r57264;
        return r57265;
}
↓
double f(double x, double y) {
        double r57266 = x;
        double r57267 = 1.0;
        double r57268 = y;
        double r57269 = r57266 * r57268;
        double r57270 = r57267 - r57269;
        double r57271 = r57266 * r57270;
        return r57271;
}

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 2019304 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A"
  :precision binary64
  (* x (- 1 (* x y))))