Average Error: 0.1 → 0.1
Time: 3.9s
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 r62353 = x;
        double r62354 = 1.0;
        double r62355 = y;
        double r62356 = r62353 * r62355;
        double r62357 = r62354 - r62356;
        double r62358 = r62353 * r62357;
        return r62358;
}
↓
double f(double x, double y) {
        double r62359 = x;
        double r62360 = 1.0;
        double r62361 = y;
        double r62362 = r62359 * r62361;
        double r62363 = r62360 - r62362;
        double r62364 = r62359 * r62363;
        return r62364;
}

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 2020021 
(FPCore (x y)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A"
  :precision binary64
  (* x (- 1 (* x y))))