Average Error: 0.0 → 0.0
Time: 2.3s
Precision: 64
\[\left(x \cdot x + y\right) + y\]
↓
\[{x}^{2} + 2 \cdot y\]
\left(x \cdot x + y\right) + y
↓
{x}^{2} + 2 \cdot y
double f(double x, double y) {
        double r491763 = x;
        double r491764 = r491763 * r491763;
        double r491765 = y;
        double r491766 = r491764 + r491765;
        double r491767 = r491766 + r491765;
        return r491767;
}
↓
double f(double x, double y) {
        double r491768 = x;
        double r491769 = 2.0;
        double r491770 = pow(r491768, r491769);
        double r491771 = y;
        double r491772 = r491769 * r491771;
        double r491773 = r491770 + r491772;
        return r491773;
}

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. Taylor expanded around 0 0.0

    \[\leadsto \color{blue}{{x}^{2} + 2 \cdot y}\]

  3. Final simplification0.0

    \[\leadsto {x}^{2} + 2 \cdot y\]

Reproduce

herbie shell --seed 2019326 
(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))