Average Error: 0 → 0
Time: 2.9s
Precision: 64
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
↓
\[\left(2 \cdot \frac{1}{9}\right) \cdot \left(\left(1 + \frac{1}{9}\right) + 1\right)\]
2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)
↓
\left(2 \cdot \frac{1}{9}\right) \cdot \left(\left(1 + \frac{1}{9}\right) + 1\right)
double f() {
        double r50357 = 2.0;
        double r50358 = 1.0;
        double r50359 = 9.0;
        double r50360 = r50358 / r50359;
        double r50361 = r50358 * r50360;
        double r50362 = r50360 * r50360;
        double r50363 = r50361 + r50362;
        double r50364 = r50360 * r50358;
        double r50365 = r50363 + r50364;
        double r50366 = r50357 * r50365;
        return r50366;
}
↓
double f() {
        double r50367 = 2.0;
        double r50368 = 1.0;
        double r50369 = 9.0;
        double r50370 = r50368 / r50369;
        double r50371 = r50367 * r50370;
        double r50372 = r50368 + r50370;
        double r50373 = r50372 + r50368;
        double r50374 = r50371 * r50373;
        return r50374;
}

Error

Try it out

Your Program's Arguments

    Results

    Enter valid numbers for all inputs

    Target

    Original0
    Target0
    Herbie0
    \[\left(\left(\frac{1}{9} \cdot 1\right) \cdot 2 + 2 \cdot \left(\frac{1}{9} \cdot \frac{1}{9}\right)\right) + 2 \cdot \left(1 \cdot \frac{1}{9}\right)\]

    Derivation

    1. Initial program 0

      \[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]

    2. Simplified0

      \[\leadsto \color{blue}{\left(2 \cdot \frac{1}{9}\right) \cdot \left(\left(1 + \frac{1}{9}\right) + 1\right)}\]

    3. Final simplification0

      \[\leadsto \left(2 \cdot \frac{1}{9}\right) \cdot \left(\left(1 + \frac{1}{9}\right) + 1\right)\]

    Reproduce

    herbie shell --seed 2019294 
(FPCore ()
  :name "Rectangular parallelepiped of dimension a×b×c"
  :precision binary64

  :herbie-target
  (+ (+ (* (* (/ 1 9) 1) 2) (* 2 (* (/ 1 9) (/ 1 9)))) (* 2 (* 1 (/ 1 9))))

  (* 2 (+ (+ (* 1 (/ 1 9)) (* (/ 1 9) (/ 1 9))) (* (/ 1 9) 1))))