Average Error: 0 → 0
Time: 3.2s
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 r6007671 = 2.0;
        double r6007672 = 1.0;
        double r6007673 = 9.0;
        double r6007674 = r6007672 / r6007673;
        double r6007675 = r6007672 * r6007674;
        double r6007676 = r6007674 * r6007674;
        double r6007677 = r6007675 + r6007676;
        double r6007678 = r6007674 * r6007672;
        double r6007679 = r6007677 + r6007678;
        double r6007680 = r6007671 * r6007679;
        return r6007680;
}
↓
double f() {
        double r6007681 = 2.0;
        double r6007682 = 1.0;
        double r6007683 = 9.0;
        double r6007684 = r6007682 / r6007683;
        double r6007685 = r6007682 + r6007682;
        double r6007686 = r6007684 + r6007685;
        double r6007687 = r6007684 * r6007686;
        double r6007688 = r6007681 * r6007687;
        return r6007688;
}

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 2019170 
(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))))