Average Error: 0 → 0
Time: 5.9s
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 r3940011 = 2.0;
        double r3940012 = 1.0;
        double r3940013 = 9.0;
        double r3940014 = r3940012 / r3940013;
        double r3940015 = r3940012 * r3940014;
        double r3940016 = r3940014 * r3940014;
        double r3940017 = r3940015 + r3940016;
        double r3940018 = r3940014 * r3940012;
        double r3940019 = r3940017 + r3940018;
        double r3940020 = r3940011 * r3940019;
        return r3940020;
}
↓
double f() {
        double r3940021 = 2.0;
        double r3940022 = 1.0;
        double r3940023 = 9.0;
        double r3940024 = r3940022 / r3940023;
        double r3940025 = r3940022 + r3940022;
        double r3940026 = r3940024 + r3940025;
        double r3940027 = r3940024 * r3940026;
        double r3940028 = r3940021 * r3940027;
        return r3940028;
}

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

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

    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 2019168 
(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))))