Average Error: 0 → 0
Time: 4.1s
Precision: 64
Internal precision: 128
\[2 \cdot \left(\left(1 \cdot \frac{1}{9} + \frac{1}{9} \cdot \frac{1}{9}\right) + \frac{1}{9} \cdot 1\right)\]
⬇
\[\frac{\frac{2}{9}}{9} + \left(\frac{2}{9} + \frac{2}{9}\right)\]

Error

Target

Original0
Comparison0
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. Applied simplify 0

    \[\leadsto \color{blue}{\frac{\frac{2}{9}}{9} + \left(\frac{2}{9} + \frac{2}{9}\right)}\]
  3. Removed slow pow expressions

Runtime

Time bar (total: 4.1s) Debug log

Please include this information when filing a bug report:

herbie --seed '#(423096448 1014512670 484312817 1860575417 3187364312 1647742334)'
(FPCore ()
  :name "Rectangular parallelepiped of dimension a×b×c"

  :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))))