Average Error: 0 → 0
Time: 1.7s
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 r1041078 = 2.0;
        double r1041079 = 1.0;
        double r1041080 = 9.0;
        double r1041081 = r1041079 / r1041080;
        double r1041082 = r1041079 * r1041081;
        double r1041083 = r1041081 * r1041081;
        double r1041084 = r1041082 + r1041083;
        double r1041085 = r1041081 * r1041079;
        double r1041086 = r1041084 + r1041085;
        double r1041087 = r1041078 * r1041086;
        return r1041087;
}
↓
double f() {
        double r1041088 = 0.4691358024691358;
        return r1041088;
}

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 2019128 +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))))