Average Error: 0 → 0
Time: 3.1s
Precision: 64
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
↓
\[\frac{2}{9} + \frac{2 + \frac{2}{9}}{9}\]
2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)
↓
\frac{2}{9} + \frac{2 + \frac{2}{9}}{9}
double f() {
        double r1343552 = 2.0;
        double r1343553 = 1.0;
        double r1343554 = 9.0;
        double r1343555 = r1343553 / r1343554;
        double r1343556 = r1343553 * r1343555;
        double r1343557 = r1343555 * r1343555;
        double r1343558 = r1343556 + r1343557;
        double r1343559 = r1343555 * r1343553;
        double r1343560 = r1343558 + r1343559;
        double r1343561 = r1343552 * r1343560;
        return r1343561;
}
↓
double f() {
        double r1343562 = 2.0;
        double r1343563 = 9.0;
        double r1343564 = r1343562 / r1343563;
        double r1343565 = r1343562 + r1343564;
        double r1343566 = r1343565 / r1343563;
        double r1343567 = r1343564 + r1343566;
        return r1343567;
}

Error

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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

      \[\leadsto \color{blue}{\frac{\frac{2}{9} + 2}{9} + \frac{2}{9}}\]

    3. Final simplification0

      \[\leadsto \frac{2}{9} + \frac{2 + \frac{2}{9}}{9}\]

    Reproduce

    herbie shell --seed 2019134 +o rules:numerics
(FPCore ()
  :name "Rectangular parallelepiped of dimension a×b×c"

  :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))))