Average Error: 0.0 → 0.0
Time: 7.2s
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 r541865 = x;
        double r541866 = r541865 * r541865;
        double r541867 = y;
        double r541868 = r541866 + r541867;
        double r541869 = r541868 + r541867;
        return r541869;
}
↓
double f(double x, double y) {
        double r541870 = x;
        double r541871 = 2.0;
        double r541872 = pow(r541870, r541871);
        double r541873 = y;
        double r541874 = r541871 * r541873;
        double r541875 = r541872 + r541874;
        return r541875;
}

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 *-un-lft-identity0.0

    \[\leadsto \left(x \cdot x + y\right) + \color{blue}{1 \cdot y}\]

  4. Applied *-un-lft-identity0.0

    \[\leadsto \color{blue}{1 \cdot \left(x \cdot x + y\right)} + 1 \cdot y\]

  5. Applied distribute-lft-out0.0

    \[\leadsto \color{blue}{1 \cdot \left(\left(x \cdot x + y\right) + y\right)}\]

  6. Simplified0.0

    \[\leadsto 1 \cdot \color{blue}{\left({x}^{2} + 2 \cdot y\right)}\]

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019303 
(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))