Average Error: 0 → 0
Time: 3.2s
Precision: 64
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
↓
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
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 r83143 = 2.0;
        double r83144 = 1.0;
        double r83145 = 9.0;
        double r83146 = r83144 / r83145;
        double r83147 = r83144 * r83146;
        double r83148 = r83146 * r83146;
        double r83149 = r83147 + r83148;
        double r83150 = r83146 * r83144;
        double r83151 = r83149 + r83150;
        double r83152 = r83143 * r83151;
        return r83152;
}
↓
double f() {
        double r83153 = 2.0;
        double r83154 = 1.0;
        double r83155 = 9.0;
        double r83156 = r83154 / r83155;
        double r83157 = r83154 * r83156;
        double r83158 = r83156 * r83156;
        double r83159 = r83157 + r83158;
        double r83160 = r83156 * r83154;
        double r83161 = r83159 + r83160;
        double r83162 = r83153 * r83161;
        return r83162;
}

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 2019351 +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))))