Average Error: 0.0 → 0.0
Time: 23.5s
Precision: 64
\[2 \cdot \left(x \cdot x + x \cdot y\right)\]
↓
\[\left(2 \cdot x\right) \cdot \left(y + x\right)\]
2 \cdot \left(x \cdot x + x \cdot y\right)
↓
\left(2 \cdot x\right) \cdot \left(y + x\right)
double f(double x, double y) {
        double r23930179 = 2.0;
        double r23930180 = x;
        double r23930181 = r23930180 * r23930180;
        double r23930182 = y;
        double r23930183 = r23930180 * r23930182;
        double r23930184 = r23930181 + r23930183;
        double r23930185 = r23930179 * r23930184;
        return r23930185;
}
↓
double f(double x, double y) {
        double r23930186 = 2.0;
        double r23930187 = x;
        double r23930188 = r23930186 * r23930187;
        double r23930189 = y;
        double r23930190 = r23930189 + r23930187;
        double r23930191 = r23930188 * r23930190;
        return r23930191;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019168 +o rules:numerics
(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))))