Average Error: 0 → 0
Time: 3.0m
Precision: 64
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
↓
\[2 \cdot \left(\frac{1}{9} \cdot \left(\left(1 + \frac{1}{9}\right) + 1\right)\right)\]
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(\frac{1}{9} \cdot \left(\left(1 + \frac{1}{9}\right) + 1\right)\right)
double f() {
        double r7577232 = 2.0;
        double r7577233 = 1.0;
        double r7577234 = 9.0;
        double r7577235 = r7577233 / r7577234;
        double r7577236 = r7577233 * r7577235;
        double r7577237 = r7577235 * r7577235;
        double r7577238 = r7577236 + r7577237;
        double r7577239 = r7577235 * r7577233;
        double r7577240 = r7577238 + r7577239;
        double r7577241 = r7577232 * r7577240;
        return r7577241;
}
↓
double f() {
        double r7577242 = 2.0;
        double r7577243 = 1.0;
        double r7577244 = 9.0;
        double r7577245 = r7577243 / r7577244;
        double r7577246 = r7577243 + r7577245;
        double r7577247 = r7577246 + r7577243;
        double r7577248 = r7577245 * r7577247;
        double r7577249 = r7577242 * r7577248;
        return r7577249;
}

Error

Try it out

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

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

    3. Final simplification0

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

    Reproduce

    herbie shell --seed 2019174 
(FPCore ()
  :name "Rectangular parallelepiped of dimension a×b×c"

  :herbie-target
  (+ (+ (* (* (/ 1.0 9.0) 1.0) 2.0) (* 2.0 (* (/ 1.0 9.0) (/ 1.0 9.0)))) (* 2.0 (* 1.0 (/ 1.0 9.0))))

  (* 2.0 (+ (+ (* 1.0 (/ 1.0 9.0)) (* (/ 1.0 9.0) (/ 1.0 9.0))) (* (/ 1.0 9.0) 1.0))))