Average Error: 0.0 → 0.0
Time: 3.1s
Precision: 64
\[2 \cdot \left(x \cdot x - x \cdot y\right)\]
↓
\[\left(2 \cdot x\right) \cdot \left(x - y\right)\]
2 \cdot \left(x \cdot x - x \cdot y\right)
↓
\left(2 \cdot x\right) \cdot \left(x - y\right)
double f(double x, double y) {
        double r464621 = 2.0;
        double r464622 = x;
        double r464623 = r464622 * r464622;
        double r464624 = y;
        double r464625 = r464622 * r464624;
        double r464626 = r464623 - r464625;
        double r464627 = r464621 * r464626;
        return r464627;
}
↓
double f(double x, double y) {
        double r464628 = 2.0;
        double r464629 = x;
        double r464630 = r464628 * r464629;
        double r464631 = y;
        double r464632 = r464629 - r464631;
        double r464633 = r464630 * r464632;
        return r464633;
}

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. Using strategy rm

  3. Applied distribute-lft-out--0.0

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

  4. Applied associate-*r*0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019298 
(FPCore (x y)
  :name "Linear.Matrix:fromQuaternion from linear-1.19.1.3, A"
  :precision binary64

  :herbie-target
  (* (* x 2) (- x y))

  (* 2 (- (* x x) (* x y))))