Average Error: 0.0 → 0.0
Time: 7.4s
Precision: 64
\[2 \cdot \left(x \cdot x + x \cdot y\right)\]
↓
\[\left(x + y\right) \cdot \left(2 \cdot x\right)\]
2 \cdot \left(x \cdot x + x \cdot y\right)
↓
\left(x + y\right) \cdot \left(2 \cdot x\right)
double f(double x, double y) {
        double r471938 = 2.0;
        double r471939 = x;
        double r471940 = r471939 * r471939;
        double r471941 = y;
        double r471942 = r471939 * r471941;
        double r471943 = r471940 + r471942;
        double r471944 = r471938 * r471943;
        return r471944;
}
↓
double f(double x, double y) {
        double r471945 = x;
        double r471946 = y;
        double r471947 = r471945 + r471946;
        double r471948 = 2.0;
        double r471949 = r471948 * r471945;
        double r471950 = r471947 * r471949;
        return r471950;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(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))))