Average Error: 0.0 → 0.0
Time: 10.0s
Precision: 64
\[2 \cdot \left(x \cdot x + x \cdot y\right)\]
↓
\[\left(x \cdot \left(x + y\right)\right) \cdot 2\]
2 \cdot \left(x \cdot x + x \cdot y\right)
↓
\left(x \cdot \left(x + y\right)\right) \cdot 2
double f(double x, double y) {
        double r413078 = 2.0;
        double r413079 = x;
        double r413080 = r413079 * r413079;
        double r413081 = y;
        double r413082 = r413079 * r413081;
        double r413083 = r413080 + r413082;
        double r413084 = r413078 * r413083;
        return r413084;
}
↓
double f(double x, double y) {
        double r413085 = x;
        double r413086 = y;
        double r413087 = r413085 + r413086;
        double r413088 = r413085 * r413087;
        double r413089 = 2.0;
        double r413090 = r413088 * r413089;
        return r413090;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019297 
(FPCore (x y)
  :name "Linear.Matrix:fromQuaternion from linear-1.19.1.3, B"
  :precision binary64

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

  (* 2 (+ (* x x) (* x y))))