Average Error: 0 → 0
Time: 3.0m
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 r2581678 = 2.0;
        double r2581679 = 1.0;
        double r2581680 = 9.0;
        double r2581681 = r2581679 / r2581680;
        double r2581682 = r2581679 * r2581681;
        double r2581683 = r2581681 * r2581681;
        double r2581684 = r2581682 + r2581683;
        double r2581685 = r2581681 * r2581679;
        double r2581686 = r2581684 + r2581685;
        double r2581687 = r2581678 * r2581686;
        return r2581687;
}
↓
double f() {
        double r2581688 = 2.0;
        double r2581689 = 1.0;
        double r2581690 = 9.0;
        double r2581691 = r2581689 / r2581690;
        double r2581692 = r2581689 + r2581689;
        double r2581693 = r2581691 + r2581692;
        double r2581694 = r2581691 * r2581693;
        double r2581695 = r2581688 * r2581694;
        return r2581695;
}

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

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

    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 2019171 
(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))))