Average Error: 0 → 0
Time: 3.3s
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 r2129213 = 2.0;
        double r2129214 = 1.0;
        double r2129215 = 9.0;
        double r2129216 = r2129214 / r2129215;
        double r2129217 = r2129214 * r2129216;
        double r2129218 = r2129216 * r2129216;
        double r2129219 = r2129217 + r2129218;
        double r2129220 = r2129216 * r2129214;
        double r2129221 = r2129219 + r2129220;
        double r2129222 = r2129213 * r2129221;
        return r2129222;
}
↓
double f() {
        double r2129223 = 2.0;
        double r2129224 = 9.0;
        double r2129225 = r2129223 / r2129224;
        double r2129226 = r2129223 + r2129225;
        double r2129227 = r2129226 / r2129224;
        double r2129228 = r2129225 + r2129227;
        return r2129228;
}

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 
(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))))