Average Error: 0.1 → 0.1
Time: 13.3s
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 r58006 = x;
        double r58007 = 1.0;
        double r58008 = y;
        double r58009 = r58006 * r58008;
        double r58010 = r58007 - r58009;
        double r58011 = r58006 * r58010;
        return r58011;
}
↓
double f(double x, double y) {
        double r58012 = x;
        double r58013 = 1.0;
        double r58014 = y;
        double r58015 = r58012 * r58014;
        double r58016 = r58013 - r58015;
        double r58017 = r58012 * r58016;
        return r58017;
}

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

    \[\leadsto x \cdot \left(1 - x \cdot y\right)\]

Reproduce

herbie shell --seed 2019198 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A"
  (* x (- 1.0 (* x y))))