Average Error: 0 → 0
Time: 1.2s
Precision: 64
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
\[\frac{38}{81}\]
2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)
\frac{38}{81}
double f() {
        double r2052961 = 2.0;
        double r2052962 = 1.0;
        double r2052963 = 9.0;
        double r2052964 = r2052962 / r2052963;
        double r2052965 = r2052962 * r2052964;
        double r2052966 = r2052964 * r2052964;
        double r2052967 = r2052965 + r2052966;
        double r2052968 = r2052964 * r2052962;
        double r2052969 = r2052967 + r2052968;
        double r2052970 = r2052961 * r2052969;
        return r2052970;
}

double f() {
        double r2052971 = 0.4691358024691358;
        return r2052971;
}

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

      \[\leadsto \color{blue}{\frac{38}{81}}\]
    3. Final simplification0

      \[\leadsto \frac{38}{81}\]

    Reproduce

    herbie shell --seed 2019133 +o rules:numerics
    (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))))