Average Error: 0.0 → 0.0
Time: 714.0ms
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 r410164 = 2.0;
        double r410165 = x;
        double r410166 = r410165 * r410165;
        double r410167 = y;
        double r410168 = r410165 * r410167;
        double r410169 = r410166 - r410168;
        double r410170 = r410164 * r410169;
        return r410170;
}
↓
double f(double x, double y) {
        double r410171 = x;
        double r410172 = y;
        double r410173 = r410171 - r410172;
        double r410174 = r410171 * r410173;
        double r410175 = 2.0;
        double r410176 = r410174 * r410175;
        return r410176;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020062 +o rules:numerics
(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))))