Average Error: 0.0 → 0.0
Time: 553.0ms
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 r879174 = x;
        double r879175 = r879174 * r879174;
        double r879176 = y;
        double r879177 = r879175 + r879176;
        double r879178 = r879177 + r879176;
        return r879178;
}
↓
double f(double x, double y) {
        double r879179 = x;
        double r879180 = r879179 * r879179;
        double r879181 = y;
        double r879182 = r879181 + r879181;
        double r879183 = r879180 + r879182;
        return r879183;
}

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 2020060 
(FPCore (x y)
  :name "Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2"
  :precision binary64

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

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