Average Error: 58.1 → 58.1
Time: 1.7m
Precision: 64
\[\left(\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) + \left(-{33096}^{6}\right)\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) + 5.5 \cdot {33096}^{8}\right) + \frac{77617}{2 \cdot 33096}\]
↓
\[\frac{{\left(5.5 \cdot {33096}^{8}\right)}^{3} + \left(\left(77617 \cdot 77617\right) \cdot \left(\left(-121 \cdot {33096}^{4} + \left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right)\right) + -2\right) + 333.75 \cdot {33096}^{6}\right) \cdot {\left(\left(77617 \cdot 77617\right) \cdot \left(\left(-121 \cdot {33096}^{4} + \left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right)\right) + -2\right) + 333.75 \cdot {33096}^{6}\right)}^{2}}{\left(\left(77617 \cdot 77617\right) \cdot \left(\left(-121 \cdot {33096}^{4} + \left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right)\right) + -2\right) + 333.75 \cdot {33096}^{6}\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(-121 \cdot {33096}^{4} + \left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right)\right) + -2\right) + 333.75 \cdot {33096}^{6}\right) + \left(5.5 \cdot {33096}^{8}\right) \cdot \left(\left(5.5 \cdot {\left(\sqrt[3]{33096} \cdot \sqrt[3]{33096}\right)}^{8}\right) \cdot \left({\left(\sqrt[3]{\sqrt{33096}}\right)}^{8} \cdot {\left(\sqrt[3]{\sqrt{33096}}\right)}^{8}\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(\left(-121 \cdot {33096}^{4} + \left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right)\right) + -2\right) + 333.75 \cdot {33096}^{6}\right)\right)} + \frac{77617}{2 \cdot 33096}\]
\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(5.5 \cdot {33096}^{8}\right)}^{3} + \left(\left(77617 \cdot 77617\right) \cdot \left(\left(-121 \cdot {33096}^{4} + \left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right)\right) + -2\right) + 333.75 \cdot {33096}^{6}\right) \cdot {\left(\left(77617 \cdot 77617\right) \cdot \left(\left(-121 \cdot {33096}^{4} + \left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right)\right) + -2\right) + 333.75 \cdot {33096}^{6}\right)}^{2}}{\left(\left(77617 \cdot 77617\right) \cdot \left(\left(-121 \cdot {33096}^{4} + \left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right)\right) + -2\right) + 333.75 \cdot {33096}^{6}\right) \cdot \left(\left(77617 \cdot 77617\right) \cdot \left(\left(-121 \cdot {33096}^{4} + \left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right)\right) + -2\right) + 333.75 \cdot {33096}^{6}\right) + \left(5.5 \cdot {33096}^{8}\right) \cdot \left(\left(5.5 \cdot {\left(\sqrt[3]{33096} \cdot \sqrt[3]{33096}\right)}^{8}\right) \cdot \left({\left(\sqrt[3]{\sqrt{33096}}\right)}^{8} \cdot {\left(\sqrt[3]{\sqrt{33096}}\right)}^{8}\right) - \left(\left(77617 \cdot 77617\right) \cdot \left(\left(-121 \cdot {33096}^{4} + \left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right)\right) + -2\right) + 333.75 \cdot {33096}^{6}\right)\right)} + \frac{77617}{2 \cdot 33096}
double f() {
        double r58377 = 333.75;
        double r58378 = 33096.0;
        double r58379 = 6.0;
        double r58380 = pow(r58378, r58379);
        double r58381 = r58377 * r58380;
        double r58382 = 77617.0;
        double r58383 = r58382 * r58382;
        double r58384 = 11.0;
        double r58385 = r58384 * r58383;
        double r58386 = r58378 * r58378;
        double r58387 = r58385 * r58386;
        double r58388 = -r58380;
        double r58389 = r58387 + r58388;
        double r58390 = -121.0;
        double r58391 = 4.0;
        double r58392 = pow(r58378, r58391);
        double r58393 = r58390 * r58392;
        double r58394 = r58389 + r58393;
        double r58395 = -2.0;
        double r58396 = r58394 + r58395;
        double r58397 = r58383 * r58396;
        double r58398 = r58381 + r58397;
        double r58399 = 5.5;
        double r58400 = 8.0;
        double r58401 = pow(r58378, r58400);
        double r58402 = r58399 * r58401;
        double r58403 = r58398 + r58402;
        double r58404 = 2.0;
        double r58405 = r58404 * r58378;
        double r58406 = r58382 / r58405;
        double r58407 = r58403 + r58406;
        return r58407;
}
↓
double f() {
        double r58408 = 5.5;
        double r58409 = 33096.0;
        double r58410 = 8.0;
        double r58411 = pow(r58409, r58410);
        double r58412 = r58408 * r58411;
        double r58413 = 3.0;
        double r58414 = pow(r58412, r58413);
        double r58415 = 77617.0;
        double r58416 = r58415 * r58415;
        double r58417 = -121.0;
        double r58418 = 4.0;
        double r58419 = pow(r58409, r58418);
        double r58420 = r58417 * r58419;
        double r58421 = 11.0;
        double r58422 = r58421 * r58416;
        double r58423 = r58409 * r58409;
        double r58424 = r58422 * r58423;
        double r58425 = 6.0;
        double r58426 = pow(r58409, r58425);
        double r58427 = r58424 - r58426;
        double r58428 = r58420 + r58427;
        double r58429 = -2.0;
        double r58430 = r58428 + r58429;
        double r58431 = r58416 * r58430;
        double r58432 = 333.75;
        double r58433 = r58432 * r58426;
        double r58434 = r58431 + r58433;
        double r58435 = 2.0;
        double r58436 = pow(r58434, r58435);
        double r58437 = r58434 * r58436;
        double r58438 = r58414 + r58437;
        double r58439 = r58434 * r58434;
        double r58440 = cbrt(r58409);
        double r58441 = r58440 * r58440;
        double r58442 = pow(r58441, r58410);
        double r58443 = r58408 * r58442;
        double r58444 = sqrt(r58409);
        double r58445 = cbrt(r58444);
        double r58446 = pow(r58445, r58410);
        double r58447 = r58446 * r58446;
        double r58448 = r58443 * r58447;
        double r58449 = r58448 - r58434;
        double r58450 = r58412 * r58449;
        double r58451 = r58439 + r58450;
        double r58452 = r58438 / r58451;
        double r58453 = 2.0;
        double r58454 = r58453 * r58409;
        double r58455 = r58415 / r58454;
        double r58456 = r58452 + r58455;
        return r58456;
}

Error

Try it out

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. Using strategy rm

    3. Applied flip3-+58.1

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

    4. Simplified58.1

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

    5. Simplified58.1

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

    7. Applied cube-mult58.1

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

    8. Simplified58.1

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

    10. Applied add-cube-cbrt58.1

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

    11. Applied unpow-prod-down58.1

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

    12. Applied associate-*r*58.1

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

    14. Applied add-sqr-sqrt58.1

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

    15. Applied cbrt-prod58.1

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

    16. Applied unpow-prod-down58.1

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

    17. Final simplification58.1

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

    Reproduce

    herbie shell --seed 2019209 
(FPCore ()
  :name "From Warwick Tucker's Validated Numerics"
  :precision binary64
  (+ (+ (+ (* 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))))