Average Error: 58.1 → 58.1
Time: 2.0m
Precision: 64
Internal Precision: 576
\[\left(\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) + \left(-{33096}^{6}\right)\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) + 5.5 \cdot {33096}^{8}\right) + \frac{77617}{2 \cdot 33096}\]
\[\frac{\left(\left(\left(\left(33096 \cdot 11\right) \cdot 33096\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(\left(\left(\left(33096 \cdot 11\right) \cdot 33096\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(77617 \cdot 77617\right)\right) - \frac{{\left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right)}^{3} + {\left(\left(-77617 \cdot 77617\right) \cdot \left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)}^{3}}{\left(\left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right) \cdot \left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right) - \left(\left(-77617 \cdot 77617\right) \cdot \left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right) \cdot \left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right)\right) + \left(\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right) \cdot \left(77617 \cdot 77617\right)\right)} \cdot \frac{{\left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right)}^{3} + {\left(\left(-77617 \cdot 77617\right) \cdot \left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)}^{3}}{\left(\left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right) \cdot \left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right) - \left(\left(-77617 \cdot 77617\right) \cdot \left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right) \cdot \left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right)\right) + \left(\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right) \cdot \left(77617 \cdot 77617\right)\right)}}{\left(\left(\left(33096 \cdot 11\right) \cdot 33096\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(77617 \cdot 77617\right) - \frac{\frac{{\left(\left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right) \cdot \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right) - \left(5.5 \cdot {33096}^{8}\right) \cdot \left(5.5 \cdot {33096}^{8}\right)\right)}^{3} \cdot {\left(-121 \cdot {33096}^{4} + \left({33096}^{6} - -2\right)\right)}^{3} + {\left(\left(-77617 \cdot 77617\right) \cdot \left(\left({33096}^{6} - -2\right) \cdot \left({33096}^{6} - -2\right) - \left(-121 \cdot {33096}^{4}\right) \cdot \left(-121 \cdot {33096}^{4}\right)\right)\right)}^{3} \cdot {\left(\left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right) - 5.5 \cdot {33096}^{8}\right)}^{3}}{{\left(\left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right) - 5.5 \cdot {33096}^{8}\right)}^{3} \cdot {\left(-121 \cdot {33096}^{4} + \left({33096}^{6} - -2\right)\right)}^{3}}}{\left(\left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right) \cdot \left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right) - \left(\left(-77617 \cdot 77617\right) \cdot \left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right) \cdot \left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right)\right) + \left(\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right) \cdot \left(77617 \cdot 77617\right)\right)}}\]

Error

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Your Program's Arguments

    Results

    Enter valid numbers for all inputs

    Derivation

    1. Initial program 58.1

      \[\left(\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) + \left(-{33096}^{6}\right)\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) + 5.5 \cdot {33096}^{8}\right) + \frac{77617}{2 \cdot 33096}\]
    2. Initial simplification58.1

      \[\leadsto \left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right) - \left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right) + \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\]
    3. Using strategy rm
    4. Applied sub-neg58.1

      \[\leadsto \left(77617 \cdot 77617\right) \cdot \color{blue}{\left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right) + \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)} + \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\]
    5. Applied distribute-lft-in62.0

      \[\leadsto \color{blue}{\left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right) + \left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)} + \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\]
    6. Applied associate-+l+58.1

      \[\leadsto \color{blue}{\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right) + \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right) + \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}\]
    7. Using strategy rm
    8. Applied flip3-+58.1

      \[\leadsto \left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right) + \color{blue}{\frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}\]
    9. Using strategy rm
    10. Applied flip-+58.1

      \[\leadsto \color{blue}{\frac{\left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) - \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)} \cdot \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}{\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right) - \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}}\]
    11. Using strategy rm
    12. Applied flip-+58.1

      \[\leadsto \frac{\left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) - \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)} \cdot \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}{\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right) - \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\color{blue}{\left(\frac{\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) \cdot \left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - \left({33096}^{8} \cdot 5.5\right) \cdot \left({33096}^{8} \cdot 5.5\right)}{\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - {33096}^{8} \cdot 5.5}\right)}}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}\]
    13. Applied cube-div58.1

      \[\leadsto \frac{\left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) - \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)} \cdot \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}{\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right) - \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + \color{blue}{\frac{{\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) \cdot \left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - \left({33096}^{8} \cdot 5.5\right) \cdot \left({33096}^{8} \cdot 5.5\right)\right)}^{3}}{{\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - {33096}^{8} \cdot 5.5\right)}^{3}}}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}\]
    14. Applied flip--58.1

      \[\leadsto \frac{\left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) - \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)} \cdot \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}{\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right) - \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\color{blue}{\frac{\left({33096}^{6} - -2\right) \cdot \left({33096}^{6} - -2\right) - \left(-121 \cdot {33096}^{4}\right) \cdot \left(-121 \cdot {33096}^{4}\right)}{\left({33096}^{6} - -2\right) + -121 \cdot {33096}^{4}}}\right)\right)}^{3} + \frac{{\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) \cdot \left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - \left({33096}^{8} \cdot 5.5\right) \cdot \left({33096}^{8} \cdot 5.5\right)\right)}^{3}}{{\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - {33096}^{8} \cdot 5.5\right)}^{3}}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}\]
    15. Applied distribute-neg-frac58.1

      \[\leadsto \frac{\left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) - \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)} \cdot \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}{\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right) - \frac{{\left(\left(77617 \cdot 77617\right) \cdot \color{blue}{\frac{-\left(\left({33096}^{6} - -2\right) \cdot \left({33096}^{6} - -2\right) - \left(-121 \cdot {33096}^{4}\right) \cdot \left(-121 \cdot {33096}^{4}\right)\right)}{\left({33096}^{6} - -2\right) + -121 \cdot {33096}^{4}}}\right)}^{3} + \frac{{\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) \cdot \left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - \left({33096}^{8} \cdot 5.5\right) \cdot \left({33096}^{8} \cdot 5.5\right)\right)}^{3}}{{\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - {33096}^{8} \cdot 5.5\right)}^{3}}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}\]
    16. Applied associate-*r/58.1

      \[\leadsto \frac{\left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) - \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)} \cdot \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}{\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right) - \frac{{\color{blue}{\left(\frac{\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) \cdot \left({33096}^{6} - -2\right) - \left(-121 \cdot {33096}^{4}\right) \cdot \left(-121 \cdot {33096}^{4}\right)\right)\right)}{\left({33096}^{6} - -2\right) + -121 \cdot {33096}^{4}}\right)}}^{3} + \frac{{\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) \cdot \left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - \left({33096}^{8} \cdot 5.5\right) \cdot \left({33096}^{8} \cdot 5.5\right)\right)}^{3}}{{\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - {33096}^{8} \cdot 5.5\right)}^{3}}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}\]
    17. Applied cube-div58.1

      \[\leadsto \frac{\left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) - \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)} \cdot \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}{\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right) - \frac{\color{blue}{\frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) \cdot \left({33096}^{6} - -2\right) - \left(-121 \cdot {33096}^{4}\right) \cdot \left(-121 \cdot {33096}^{4}\right)\right)\right)\right)}^{3}}{{\left(\left({33096}^{6} - -2\right) + -121 \cdot {33096}^{4}\right)}^{3}}} + \frac{{\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) \cdot \left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - \left({33096}^{8} \cdot 5.5\right) \cdot \left({33096}^{8} \cdot 5.5\right)\right)}^{3}}{{\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - {33096}^{8} \cdot 5.5\right)}^{3}}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}\]
    18. Applied frac-add58.1

      \[\leadsto \frac{\left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right)\right) - \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)} \cdot \frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right)}^{3} + {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)}^{3}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}{\left(77617 \cdot 77617\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(33096 \cdot 11\right) \cdot 33096\right)\right) - \frac{\color{blue}{\frac{{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) \cdot \left({33096}^{6} - -2\right) - \left(-121 \cdot {33096}^{4}\right) \cdot \left(-121 \cdot {33096}^{4}\right)\right)\right)\right)}^{3} \cdot {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - {33096}^{8} \cdot 5.5\right)}^{3} + {\left(\left({33096}^{6} - -2\right) + -121 \cdot {33096}^{4}\right)}^{3} \cdot {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) \cdot \left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - \left({33096}^{8} \cdot 5.5\right) \cdot \left({33096}^{8} \cdot 5.5\right)\right)}^{3}}{{\left(\left({33096}^{6} - -2\right) + -121 \cdot {33096}^{4}\right)}^{3} \cdot {\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) - {33096}^{8} \cdot 5.5\right)}^{3}}}}{\left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) + \left(\left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(-\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)\right) \cdot \left(\left(\frac{\frac{77617}{2}}{33096} + {33096}^{6} \cdot 333.75\right) + {33096}^{8} \cdot 5.5\right)\right)}}\]
    19. Final simplification58.1

      \[\leadsto \frac{\left(\left(\left(\left(33096 \cdot 11\right) \cdot 33096\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(\left(\left(\left(33096 \cdot 11\right) \cdot 33096\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(77617 \cdot 77617\right)\right) - \frac{{\left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right)}^{3} + {\left(\left(-77617 \cdot 77617\right) \cdot \left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)}^{3}}{\left(\left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right) \cdot \left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right) - \left(\left(-77617 \cdot 77617\right) \cdot \left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right) \cdot \left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right)\right) + \left(\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right) \cdot \left(77617 \cdot 77617\right)\right)} \cdot \frac{{\left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right)}^{3} + {\left(\left(-77617 \cdot 77617\right) \cdot \left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right)}^{3}}{\left(\left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right) \cdot \left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right) - \left(\left(-77617 \cdot 77617\right) \cdot \left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right) \cdot \left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right)\right) + \left(\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right) \cdot \left(77617 \cdot 77617\right)\right)}}{\left(\left(\left(33096 \cdot 11\right) \cdot 33096\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(77617 \cdot 77617\right) - \frac{\frac{{\left(\left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right) \cdot \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right) - \left(5.5 \cdot {33096}^{8}\right) \cdot \left(5.5 \cdot {33096}^{8}\right)\right)}^{3} \cdot {\left(-121 \cdot {33096}^{4} + \left({33096}^{6} - -2\right)\right)}^{3} + {\left(\left(-77617 \cdot 77617\right) \cdot \left(\left({33096}^{6} - -2\right) \cdot \left({33096}^{6} - -2\right) - \left(-121 \cdot {33096}^{4}\right) \cdot \left(-121 \cdot {33096}^{4}\right)\right)\right)}^{3} \cdot {\left(\left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right) - 5.5 \cdot {33096}^{8}\right)}^{3}}{{\left(\left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right) - 5.5 \cdot {33096}^{8}\right)}^{3} \cdot {\left(-121 \cdot {33096}^{4} + \left({33096}^{6} - -2\right)\right)}^{3}}}{\left(\left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right) \cdot \left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right) - \left(\left(-77617 \cdot 77617\right) \cdot \left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right)\right) \cdot \left(5.5 \cdot {33096}^{8} + \left(\frac{\frac{77617}{2}}{33096} + 333.75 \cdot {33096}^{6}\right)\right)\right) + \left(\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right) \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(\left(\left({33096}^{6} - -2\right) - -121 \cdot {33096}^{4}\right) \cdot \left(77617 \cdot 77617\right)\right)}}\]

    Runtime

    Time bar (total: 2.0m)Debug logProfile

    herbie shell --seed 2018234 
    (FPCore ()
      :name "From Warwick Tucker's Validated Numerics"
      (+ (+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8))) (/ 77617 (* 2 33096))))