Average Error: 0.1 → 0.1
Time: 13.9s
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 r4082688 = x;
        double r4082689 = 1.0;
        double r4082690 = y;
        double r4082691 = r4082688 * r4082690;
        double r4082692 = r4082689 - r4082691;
        double r4082693 = r4082688 * r4082692;
        return r4082693;
}
↓
double f(double x, double y) {
        double r4082694 = 1.0;
        double r4082695 = x;
        double r4082696 = y;
        double r4082697 = r4082695 * r4082696;
        double r4082698 = r4082694 - r4082697;
        double r4082699 = r4082698 * r4082695;
        return r4082699;
}

Error

Bits error versus x

Bits error versus y

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