Average Error: 0 → 0
Time: 3.1m
Precision: 64
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
↓
\[\left(\left(2 + \left(2 + \frac{2}{9}\right)\right) \cdot \frac{1}{9}\right) \cdot 1\]
2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)
↓
\left(\left(2 + \left(2 + \frac{2}{9}\right)\right) \cdot \frac{1}{9}\right) \cdot 1
double f() {
        double r116536 = 2.0;
        double r116537 = 1.0;
        double r116538 = 9.0;
        double r116539 = r116537 / r116538;
        double r116540 = r116537 * r116539;
        double r116541 = r116539 * r116539;
        double r116542 = r116540 + r116541;
        double r116543 = r116539 * r116537;
        double r116544 = r116542 + r116543;
        double r116545 = r116536 * r116544;
        return r116545;
}
↓
double f() {
        double r116546 = 2.0;
        double r116547 = 9.0;
        double r116548 = r116546 / r116547;
        double r116549 = r116546 + r116548;
        double r116550 = r116546 + r116549;
        double r116551 = 1.0;
        double r116552 = r116551 / r116547;
        double r116553 = r116550 * r116552;
        double r116554 = r116553 * r116551;
        return r116554;
}

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

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

    3. Final simplification0

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

    Reproduce

    herbie shell --seed 2019179 
(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))))