Average Error: 0 → 0
Time: 1.6s
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 r1102254 = 2.0;
        double r1102255 = 1.0;
        double r1102256 = 9.0;
        double r1102257 = r1102255 / r1102256;
        double r1102258 = r1102255 * r1102257;
        double r1102259 = r1102257 * r1102257;
        double r1102260 = r1102258 + r1102259;
        double r1102261 = r1102257 * r1102255;
        double r1102262 = r1102260 + r1102261;
        double r1102263 = r1102254 * r1102262;
        return r1102263;
}
↓
double f() {
        double r1102264 = 0.4691358024691358;
        return r1102264;
}

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 2019153 +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))))