Average Error: 0.0 → 0.0
Time: 11.6s
Precision: 64
\[2.0 \cdot \left(x \cdot x + x \cdot y\right)\]
↓
\[\left(x + y\right) \cdot \left(2.0 \cdot x\right)\]
2.0 \cdot \left(x \cdot x + x \cdot y\right)
↓
\left(x + y\right) \cdot \left(2.0 \cdot x\right)
double f(double x, double y) {
        double r29370142 = 2.0;
        double r29370143 = x;
        double r29370144 = r29370143 * r29370143;
        double r29370145 = y;
        double r29370146 = r29370143 * r29370145;
        double r29370147 = r29370144 + r29370146;
        double r29370148 = r29370142 * r29370147;
        return r29370148;
}
↓
double f(double x, double y) {
        double r29370149 = x;
        double r29370150 = y;
        double r29370151 = r29370149 + r29370150;
        double r29370152 = 2.0;
        double r29370153 = r29370152 * r29370149;
        double r29370154 = r29370151 * r29370153;
        return r29370154;
}

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
\[\left(x \cdot 2.0\right) \cdot \left(x + y\right)\]

Derivation

  1. Initial program 0.0

    \[2.0 \cdot \left(x \cdot x + x \cdot y\right)\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(2.0 \cdot x\right) \cdot \left(x + y\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(x + y\right) \cdot \left(2.0 \cdot x\right)\]

Reproduce

herbie shell --seed 2019162 
(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))))