Average Error: 0.0 → 0.0
Time: 8.8s
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 r26952191 = 2.0;
        double r26952192 = x;
        double r26952193 = r26952192 * r26952192;
        double r26952194 = y;
        double r26952195 = r26952192 * r26952194;
        double r26952196 = r26952193 + r26952195;
        double r26952197 = r26952191 * r26952196;
        return r26952197;
}
↓
double f(double x, double y) {
        double r26952198 = x;
        double r26952199 = y;
        double r26952200 = r26952198 + r26952199;
        double r26952201 = 2.0;
        double r26952202 = r26952201 * r26952198;
        double r26952203 = r26952200 * r26952202;
        return r26952203;
}

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 2019163 
(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))))