Average Error: 0 → 0
Time: 379.0ms
Precision: 64
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
↓
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
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(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)
double f() {
        double r70586 = 2.0;
        double r70587 = 1.0;
        double r70588 = 9.0;
        double r70589 = r70587 / r70588;
        double r70590 = r70587 * r70589;
        double r70591 = r70589 * r70589;
        double r70592 = r70590 + r70591;
        double r70593 = r70589 * r70587;
        double r70594 = r70592 + r70593;
        double r70595 = r70586 * r70594;
        return r70595;
}
↓
double f() {
        double r70596 = 2.0;
        double r70597 = 1.0;
        double r70598 = 9.0;
        double r70599 = r70597 / r70598;
        double r70600 = r70597 * r70599;
        double r70601 = r70599 * r70599;
        double r70602 = r70600 + r70601;
        double r70603 = r70599 * r70597;
        double r70604 = r70602 + r70603;
        double r70605 = r70596 * r70604;
        return r70605;
}

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. Final simplification0

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

    Reproduce

    herbie shell --seed 2019353 +o rules:numerics
(FPCore ()
  :name "Rectangular parallelepiped of dimension a×b×c"
  :precision binary64

  :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))))