Average Error: 0 → 0
Time: 5.7s
Precision: 64
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
↓
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
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 r9307 = 2.0;
        double r9308 = 1.0;
        double r9309 = 9.0;
        double r9310 = r9308 / r9309;
        double r9311 = r9308 * r9310;
        double r9312 = r9310 * r9310;
        double r9313 = r9311 + r9312;
        double r9314 = r9310 * r9308;
        double r9315 = r9313 + r9314;
        double r9316 = r9307 * r9315;
        return r9316;
}
↓
double f() {
        double r9317 = 2.0;
        double r9318 = 1.0;
        double r9319 = 9.0;
        double r9320 = r9318 / r9319;
        double r9321 = r9318 * r9320;
        double r9322 = r9320 * r9320;
        double r9323 = r9321 + r9322;
        double r9324 = r9320 * r9318;
        double r9325 = r9323 + r9324;
        double r9326 = r9317 * r9325;
        return r9326;
}

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 2019310 +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))))