Average Error: 0.1 → 0.1
Time: 21.4s
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 r62973 = x;
        double r62974 = 1.0;
        double r62975 = y;
        double r62976 = r62973 * r62975;
        double r62977 = r62974 - r62976;
        double r62978 = r62973 * r62977;
        return r62978;
}
↓
double f(double x, double y) {
        double r62979 = x;
        double r62980 = 1.0;
        double r62981 = y;
        double r62982 = r62979 * r62981;
        double r62983 = r62980 - r62982;
        double r62984 = r62979 * r62983;
        return r62984;
}

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 2019347 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A"
  :precision binary64
  (* x (- 1 (* x y))))