Average Error: 0.0 → 0.0
Time: 6.8s
Precision: 64
\[\left(x \cdot x + y\right) + y\]
↓
\[x \cdot x + \left(y + y\right)\]
\left(x \cdot x + y\right) + y
↓
x \cdot x + \left(y + y\right)
double f(double x, double y) {
        double r37952835 = x;
        double r37952836 = r37952835 * r37952835;
        double r37952837 = y;
        double r37952838 = r37952836 + r37952837;
        double r37952839 = r37952838 + r37952837;
        return r37952839;
}
↓
double f(double x, double y) {
        double r37952840 = x;
        double r37952841 = r37952840 * r37952840;
        double r37952842 = y;
        double r37952843 = r37952842 + r37952842;
        double r37952844 = r37952841 + r37952843;
        return r37952844;
}

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

Derivation

  1. Initial program 0.0

    \[\left(x \cdot x + y\right) + y\]
  2. Using strategy rm

  3. Applied associate-+l+0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019171 
(FPCore (x y)
  :name "Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2"

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

  (+ (+ (* x x) y) y))