Average Error: 0.0 → 0.0
Time: 3.7s
Precision: 64
\[2 \cdot \left(x \cdot x + x \cdot y\right)\]
↓
\[\left(2 \cdot x\right) \cdot \left(y + x\right)\]
2 \cdot \left(x \cdot x + x \cdot y\right)
↓
\left(2 \cdot x\right) \cdot \left(y + x\right)
double f(double x, double y) {
        double r22308478 = 2.0;
        double r22308479 = x;
        double r22308480 = r22308479 * r22308479;
        double r22308481 = y;
        double r22308482 = r22308479 * r22308481;
        double r22308483 = r22308480 + r22308482;
        double r22308484 = r22308478 * r22308483;
        return r22308484;
}
↓
double f(double x, double y) {
        double r22308485 = 2.0;
        double r22308486 = x;
        double r22308487 = r22308485 * r22308486;
        double r22308488 = y;
        double r22308489 = r22308488 + r22308486;
        double r22308490 = r22308487 * r22308489;
        return r22308490;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019172 +o rules:numerics
(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))))