Average Error: 0.0 → 0.0
Time: 9.6s
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 r655683 = x;
        double r655684 = r655683 * r655683;
        double r655685 = y;
        double r655686 = r655684 + r655685;
        double r655687 = r655686 + r655685;
        return r655687;
}
↓
double f(double x, double y) {
        double r655688 = x;
        double r655689 = r655688 * r655688;
        double r655690 = y;
        double r655691 = r655690 + r655690;
        double r655692 = r655689 + r655691;
        return r655692;
}

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 2019174 
(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))