Average Error: 0.0 → 0.0
Time: 7.7s
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 r26324038 = 2.0;
        double r26324039 = x;
        double r26324040 = r26324039 * r26324039;
        double r26324041 = y;
        double r26324042 = r26324039 * r26324041;
        double r26324043 = r26324040 - r26324042;
        double r26324044 = r26324038 * r26324043;
        return r26324044;
}
↓
double f(double x, double y) {
        double r26324045 = x;
        double r26324046 = y;
        double r26324047 = r26324045 - r26324046;
        double r26324048 = 2.0;
        double r26324049 = r26324048 * r26324045;
        double r26324050 = r26324047 * r26324049;
        return r26324050;
}

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 2019164 
(FPCore (x y)
  :name "Linear.Matrix:fromQuaternion from linear-1.19.1.3, A"

  :herbie-target
  (* (* x 2.0) (- x y))

  (* 2.0 (- (* x x) (* x y))))