Average Error: 0 → 0
Time: 3.5s
Precision: 64
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
↓
\[\left(2 \cdot \frac{1}{9}\right) \cdot \left(\left(1 + \frac{1}{9}\right) + 1\right)\]
2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)
↓
\left(2 \cdot \frac{1}{9}\right) \cdot \left(\left(1 + \frac{1}{9}\right) + 1\right)
double f() {
        double r58081 = 2.0;
        double r58082 = 1.0;
        double r58083 = 9.0;
        double r58084 = r58082 / r58083;
        double r58085 = r58082 * r58084;
        double r58086 = r58084 * r58084;
        double r58087 = r58085 + r58086;
        double r58088 = r58084 * r58082;
        double r58089 = r58087 + r58088;
        double r58090 = r58081 * r58089;
        return r58090;
}
↓
double f() {
        double r58091 = 2.0;
        double r58092 = 1.0;
        double r58093 = 9.0;
        double r58094 = r58092 / r58093;
        double r58095 = r58091 * r58094;
        double r58096 = r58092 + r58094;
        double r58097 = r58096 + r58092;
        double r58098 = r58095 * r58097;
        return r58098;
}

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

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

    Reproduce

    herbie shell --seed 2019297 
(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))))