Average Error: 0.0 → 0.0
Time: 14.0s
Precision: 64
\[2 \cdot \left(x \cdot x + x \cdot y\right)\]
↓
\[x \cdot \left(\left(x + y\right) \cdot 2\right)\]
2 \cdot \left(x \cdot x + x \cdot y\right)
↓
x \cdot \left(\left(x + y\right) \cdot 2\right)
double f(double x, double y) {
        double r100242176 = 2.0;
        double r100242177 = x;
        double r100242178 = r100242177 * r100242177;
        double r100242179 = y;
        double r100242180 = r100242177 * r100242179;
        double r100242181 = r100242178 + r100242180;
        double r100242182 = r100242176 * r100242181;
        return r100242182;
}
↓
double f(double x, double y) {
        double r100242183 = x;
        double r100242184 = y;
        double r100242185 = r100242183 + r100242184;
        double r100242186 = 2.0;
        double r100242187 = r100242185 * r100242186;
        double r100242188 = r100242183 * r100242187;
        return r100242188;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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Target

Original0.0
Target0.0
Herbie0.0
\[\left(x \cdot 2\right) \cdot \left(x + y\right)\]

Derivation

  1. Initial program 0.0

    \[2 \cdot \left(x \cdot x + x \cdot y\right)\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(x \cdot \left(x + y\right)\right) \cdot 2}\]
  3. Using strategy rm

  4. Applied associate-*l*0.0

    \[\leadsto \color{blue}{x \cdot \left(\left(x + y\right) \cdot 2\right)}\]

  5. Final simplification0.0

    \[\leadsto x \cdot \left(\left(x + y\right) \cdot 2\right)\]

Reproduce

herbie shell --seed 2019173 
(FPCore (x y)
  :name "Linear.Matrix:fromQuaternion from linear-1.19.1.3, B"

  :herbie-target
  (* (* x 2.0) (+ x y))

  (* 2.0 (+ (* x x) (* x y))))