Average Error: 0.0 → 0.0
Time: 17.6s
Precision: 64
\[\left(x \cdot x + y\right) + y\]
↓
\[\left(y + y\right) + x \cdot x\]
\left(x \cdot x + y\right) + y
↓
\left(y + y\right) + x \cdot x
double f(double x, double y) {
        double r39678840 = x;
        double r39678841 = r39678840 * r39678840;
        double r39678842 = y;
        double r39678843 = r39678841 + r39678842;
        double r39678844 = r39678843 + r39678842;
        return r39678844;
}
↓
double f(double x, double y) {
        double r39678845 = y;
        double r39678846 = r39678845 + r39678845;
        double r39678847 = x;
        double r39678848 = r39678847 * r39678847;
        double r39678849 = r39678846 + r39678848;
        return r39678849;
}

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

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

Reproduce

herbie shell --seed 2019200 
(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))