Average Error: 0.0 → 0.0
Time: 1.1s
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 r493963 = 2.0;
        double r493964 = x;
        double r493965 = r493964 * r493964;
        double r493966 = y;
        double r493967 = r493964 * r493966;
        double r493968 = r493965 - r493967;
        double r493969 = r493963 * r493968;
        return r493969;
}
↓
double f(double x, double y) {
        double r493970 = x;
        double r493971 = y;
        double r493972 = r493970 - r493971;
        double r493973 = r493970 * r493972;
        double r493974 = 2.0;
        double r493975 = r493973 * r493974;
        return r493975;
}

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 2020001 +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))))