Average Error: 0 → 0
Time: 3.3s
Precision: 64
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
↓
\[2 \cdot \left(\frac{1}{9} \cdot \left(\frac{1}{9} + \left(1 + 1\right)\right)\right)\]
2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)
↓
2 \cdot \left(\frac{1}{9} \cdot \left(\frac{1}{9} + \left(1 + 1\right)\right)\right)
double f() {
        double r3343476 = 2.0;
        double r3343477 = 1.0;
        double r3343478 = 9.0;
        double r3343479 = r3343477 / r3343478;
        double r3343480 = r3343477 * r3343479;
        double r3343481 = r3343479 * r3343479;
        double r3343482 = r3343480 + r3343481;
        double r3343483 = r3343479 * r3343477;
        double r3343484 = r3343482 + r3343483;
        double r3343485 = r3343476 * r3343484;
        return r3343485;
}
↓
double f() {
        double r3343486 = 2.0;
        double r3343487 = 1.0;
        double r3343488 = 9.0;
        double r3343489 = r3343487 / r3343488;
        double r3343490 = r3343487 + r3343487;
        double r3343491 = r3343489 + r3343490;
        double r3343492 = r3343489 * r3343491;
        double r3343493 = r3343486 * r3343492;
        return r3343493;
}

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

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

    3. Final simplification0

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

    Reproduce

    herbie shell --seed 2019172 
(FPCore ()
  :name "Rectangular parallelepiped of dimension a×b×c"

  :herbie-target
  (+ (+ (* (* (/ 1.0 9.0) 1.0) 2.0) (* 2.0 (* (/ 1.0 9.0) (/ 1.0 9.0)))) (* 2.0 (* 1.0 (/ 1.0 9.0))))

  (* 2.0 (+ (+ (* 1.0 (/ 1.0 9.0)) (* (/ 1.0 9.0) (/ 1.0 9.0))) (* (/ 1.0 9.0) 1.0))))