Jmat.Real.dawson

Average Error: 29.5 → 0.0

Time: 29.3s

Precision: 64

Math

\[\frac{\left(\left(\left(\left(1 + 0.1049934946999999951788851149103720672429 \cdot \left(x \cdot x\right)\right) + 0.04240606040000000076517494562722276896238 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.007264418199999999985194687468492702464573 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)}{\left(\left(\left(\left(\left(1 + 0.7715471018999999763821051601553335785866 \cdot \left(x \cdot x\right)\right) + 0.2909738639000000182122107617033179849386 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.06945557609999999937322456844412954524159 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.01400054419999999938406531896362139377743 \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4} \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + \left(2 \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) \cdot \left(\left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)} \cdot x\]

↓

\[\begin{array}{l} \mathbf{if}\;x \le -734.6067551207023598180967383086681365967 \lor \neg \left(x \le 269399.4827619772986508905887603759765625\right):\\ \;\;\;\;\frac{0.1529819634592826105290441773831844329834}{{x}^{5}} + \left(\frac{0.5}{x} + \frac{0.2514179000665373031608851306373253464699}{{x}^{3}}\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\frac{\left({x}^{6} \cdot 0.007264418199999999985194687468492702464573 + \left(1 + \left(x \cdot 0.1049934946999999951788851149103720672429\right) \cdot x\right)\right) + {x}^{4} \cdot \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot {x}^{6} + \left({x}^{4} \cdot 5.064034000000000243502107366566633572802 \cdot 10^{-4} + 0.04240606040000000076517494562722276896238\right)\right)}{\left(1 + \left({x}^{4} \cdot \left(0.2909738639000000182122107617033179849386 + \left(x \cdot x\right) \cdot 0.06945557609999999937322456844412954524159\right) + \left(\left(x \cdot x\right) \cdot \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(2 \cdot \left(x \cdot x\right)\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right) \cdot {\left(x \cdot x\right)}^{4}\right)\right) \cdot \left(1 + \left({x}^{4} \cdot \left(0.2909738639000000182122107617033179849386 + \left(x \cdot x\right) \cdot 0.06945557609999999937322456844412954524159\right) + \left(\left(x \cdot x\right) \cdot \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(2 \cdot \left(x \cdot x\right)\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right) \cdot {\left(x \cdot x\right)}^{4}\right)\right) - {x}^{4} \cdot \left(0.7715471018999999763821051601553335785866 \cdot 0.7715471018999999763821051601553335785866\right)} \cdot \left(\left(\left({x}^{4} \cdot \left(0.2909738639000000182122107617033179849386 + \left(x \cdot x\right) \cdot 0.06945557609999999937322456844412954524159\right) + \left(\left(x \cdot x\right) \cdot \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(2 \cdot \left(x \cdot x\right)\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right) \cdot {\left(x \cdot x\right)}^{4}\right) - \left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866\right) + 1\right)\right)\\ \end{array}\]

C

double f(double x) {
        double r151308 = 1.0;
        double r151309 = 0.1049934947;
        double r151310 = x;
        double r151311 = r151310 * r151310;
        double r151312 = r151309 * r151311;
        double r151313 = r151308 + r151312;
        double r151314 = 0.0424060604;
        double r151315 = r151311 * r151311;
        double r151316 = r151314 * r151315;
        double r151317 = r151313 + r151316;
        double r151318 = 0.0072644182;
        double r151319 = r151315 * r151311;
        double r151320 = r151318 * r151319;
        double r151321 = r151317 + r151320;
        double r151322 = 0.0005064034;
        double r151323 = r151319 * r151311;
        double r151324 = r151322 * r151323;
        double r151325 = r151321 + r151324;
        double r151326 = 0.0001789971;
        double r151327 = r151323 * r151311;
        double r151328 = r151326 * r151327;
        double r151329 = r151325 + r151328;
        double r151330 = 0.7715471019;
        double r151331 = r151330 * r151311;
        double r151332 = r151308 + r151331;
        double r151333 = 0.2909738639;
        double r151334 = r151333 * r151315;
        double r151335 = r151332 + r151334;
        double r151336 = 0.0694555761;
        double r151337 = r151336 * r151319;
        double r151338 = r151335 + r151337;
        double r151339 = 0.0140005442;
        double r151340 = r151339 * r151323;
        double r151341 = r151338 + r151340;
        double r151342 = 0.0008327945;
        double r151343 = r151342 * r151327;
        double r151344 = r151341 + r151343;
        double r151345 = 2.0;
        double r151346 = r151345 * r151326;
        double r151347 = r151327 * r151311;
        double r151348 = r151346 * r151347;
        double r151349 = r151344 + r151348;
        double r151350 = r151329 / r151349;
        double r151351 = r151350 * r151310;
        return r151351;
}

↓

double f(double x) {
        double r151352 = x;
        double r151353 = -734.6067551207024;
        bool r151354 = r151352 <= r151353;
        double r151355 = 269399.4827619773;
        bool r151356 = r151352 <= r151355;
        double r151357 = !r151356;
        bool r151358 = r151354 || r151357;
        double r151359 = 0.1529819634592826;
        double r151360 = 5.0;
        double r151361 = pow(r151352, r151360);
        double r151362 = r151359 / r151361;
        double r151363 = 0.5;
        double r151364 = r151363 / r151352;
        double r151365 = 0.2514179000665373;
        double r151366 = 3.0;
        double r151367 = pow(r151352, r151366);
        double r151368 = r151365 / r151367;
        double r151369 = r151364 + r151368;
        double r151370 = r151362 + r151369;
        double r151371 = 6.0;
        double r151372 = pow(r151352, r151371);
        double r151373 = 0.0072644182;
        double r151374 = r151372 * r151373;
        double r151375 = 1.0;
        double r151376 = 0.1049934947;
        double r151377 = r151352 * r151376;
        double r151378 = r151377 * r151352;
        double r151379 = r151375 + r151378;
        double r151380 = r151374 + r151379;
        double r151381 = 4.0;
        double r151382 = pow(r151352, r151381);
        double r151383 = 0.0001789971;
        double r151384 = r151383 * r151372;
        double r151385 = 0.0005064034;
        double r151386 = r151382 * r151385;
        double r151387 = 0.0424060604;
        double r151388 = r151386 + r151387;
        double r151389 = r151384 + r151388;
        double r151390 = r151382 * r151389;
        double r151391 = r151380 + r151390;
        double r151392 = 0.2909738639;
        double r151393 = r151352 * r151352;
        double r151394 = 0.0694555761;
        double r151395 = r151393 * r151394;
        double r151396 = r151392 + r151395;
        double r151397 = r151382 * r151396;
        double r151398 = 2.0;
        double r151399 = r151398 * r151393;
        double r151400 = r151383 * r151399;
        double r151401 = 0.0008327945;
        double r151402 = r151400 + r151401;
        double r151403 = r151393 * r151402;
        double r151404 = 0.0140005442;
        double r151405 = r151403 + r151404;
        double r151406 = pow(r151393, r151381);
        double r151407 = r151405 * r151406;
        double r151408 = r151397 + r151407;
        double r151409 = r151375 + r151408;
        double r151410 = r151409 * r151409;
        double r151411 = 0.7715471019;
        double r151412 = r151411 * r151411;
        double r151413 = r151382 * r151412;
        double r151414 = r151410 - r151413;
        double r151415 = r151391 / r151414;
        double r151416 = r151393 * r151411;
        double r151417 = r151408 - r151416;
        double r151418 = r151417 + r151375;
        double r151419 = r151415 * r151418;
        double r151420 = r151352 * r151419;
        double r151421 = r151358 ? r151370 : r151420;
        return r151421;
}

Error

Bits error versus x

Derivation

1. Split input into 2 regimes

2. if x < -734.6067551207024 or 269399.4827619773 < x

   1. Initial program 59.5

      \[\frac{\left(\left(\left(\left(1 + 0.1049934946999999951788851149103720672429 \cdot \left(x \cdot x\right)\right) + 0.04240606040000000076517494562722276896238 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.007264418199999999985194687468492702464573 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)}{\left(\left(\left(\left(\left(1 + 0.7715471018999999763821051601553335785866 \cdot \left(x \cdot x\right)\right) + 0.2909738639000000182122107617033179849386 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.06945557609999999937322456844412954524159 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.01400054419999999938406531896362139377743 \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4} \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + \left(2 \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) \cdot \left(\left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)} \cdot x\]

   2. Simplified 59.4

      \[\leadsto \color{blue}{\frac{{x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)}{\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)} \cdot x}\]
   3. Using strategy rm

   4. Applied add-cbrt-cube 62.8

      \[\leadsto \frac{{x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)}{\color{blue}{\sqrt[3]{\left(\left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right)}}} \cdot x\]

   5. Applied add-cbrt-cube 62.9

      \[\leadsto \frac{\color{blue}{\sqrt[3]{\left(\left({x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)\right) \cdot \left({x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)\right)\right) \cdot \left({x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)\right)}}}{\sqrt[3]{\left(\left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right)}} \cdot x\]

   6. Applied cbrt-undiv 62.9

      \[\leadsto \color{blue}{\sqrt[3]{\frac{\left(\left({x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)\right) \cdot \left({x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)\right)\right) \cdot \left({x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)\right)}{\left(\left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right)}}} \cdot x\]

   7. Simplified 59.4

      \[\leadsto \sqrt[3]{\color{blue}{{\left(\frac{\left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right) + \left(x \cdot \left(x \cdot 0.1049934946999999951788851149103720672429\right) + \left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + \left({x}^{4} \cdot 5.064034000000000243502107366566633572802 \cdot 10^{-4} + 0.04240606040000000076517494562722276896238\right)\right) \cdot {x}^{4}\right)}{\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) + 0.7715471018999999763821051601553335785866 \cdot {x}^{2}}\right)}^{3}}} \cdot x\]
   8. Using strategy rm

   9. Applied flip-+ 62.0

      \[\leadsto \sqrt[3]{{\left(\frac{\left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right) + \left(x \cdot \left(x \cdot 0.1049934946999999951788851149103720672429\right) + \left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + \left({x}^{4} \cdot 5.064034000000000243502107366566633572802 \cdot 10^{-4} + 0.04240606040000000076517494562722276896238\right)\right) \cdot {x}^{4}\right)}{\color{blue}{\frac{\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) \cdot \left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right) \cdot \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)}{\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - 0.7715471018999999763821051601553335785866 \cdot {x}^{2}}}}\right)}^{3}} \cdot x\]

   10. Applied associate-/r/ 62.0

       \[\leadsto \sqrt[3]{{\color{blue}{\left(\frac{\left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right) + \left(x \cdot \left(x \cdot 0.1049934946999999951788851149103720672429\right) + \left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + \left({x}^{4} \cdot 5.064034000000000243502107366566633572802 \cdot 10^{-4} + 0.04240606040000000076517494562722276896238\right)\right) \cdot {x}^{4}\right)}{\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) \cdot \left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right) \cdot \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)} \cdot \left(\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - 0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)\right)}}^{3}} \cdot x\]

   11. Applied unpow-prod-down 63.2

       \[\leadsto \sqrt[3]{\color{blue}{{\left(\frac{\left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right) + \left(x \cdot \left(x \cdot 0.1049934946999999951788851149103720672429\right) + \left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + \left({x}^{4} \cdot 5.064034000000000243502107366566633572802 \cdot 10^{-4} + 0.04240606040000000076517494562722276896238\right)\right) \cdot {x}^{4}\right)}{\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) \cdot \left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right) \cdot \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)}\right)}^{3} \cdot {\left(\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - 0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)}^{3}}} \cdot x\]

   12. Applied cbrt-prod 63.2

       \[\leadsto \color{blue}{\left(\sqrt[3]{{\left(\frac{\left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right) + \left(x \cdot \left(x \cdot 0.1049934946999999951788851149103720672429\right) + \left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + \left({x}^{4} \cdot 5.064034000000000243502107366566633572802 \cdot 10^{-4} + 0.04240606040000000076517494562722276896238\right)\right) \cdot {x}^{4}\right)}{\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) \cdot \left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right) \cdot \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)}\right)}^{3}} \cdot \sqrt[3]{{\left(\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - 0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)}^{3}}\right)} \cdot x\]

   13. Simplified 62.9

       \[\leadsto \left(\color{blue}{\frac{\left({x}^{6} \cdot 0.007264418199999999985194687468492702464573 + \left(1 + \left(x \cdot 0.1049934946999999951788851149103720672429\right) \cdot x\right)\right) + \left(\left(5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4} + 0.04240606040000000076517494562722276896238\right) + 1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot {x}^{6}\right) \cdot {x}^{4}}{\left(1 + \left(\left(0.06945557609999999937322456844412954524159 \cdot \left(x \cdot x\right) + 0.2909738639000000182122107617033179849386\right) \cdot {x}^{4} + \left(0.01400054419999999938406531896362139377743 + \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(\left(x \cdot x\right) \cdot 2\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) \cdot \left(x \cdot x\right)\right) \cdot {\left(x \cdot x\right)}^{4}\right)\right) \cdot \left(1 + \left(\left(0.06945557609999999937322456844412954524159 \cdot \left(x \cdot x\right) + 0.2909738639000000182122107617033179849386\right) \cdot {x}^{4} + \left(0.01400054419999999938406531896362139377743 + \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(\left(x \cdot x\right) \cdot 2\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) \cdot \left(x \cdot x\right)\right) \cdot {\left(x \cdot x\right)}^{4}\right)\right) - \left(0.7715471018999999763821051601553335785866 \cdot 0.7715471018999999763821051601553335785866\right) \cdot {x}^{4}}} \cdot \sqrt[3]{{\left(\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - 0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)}^{3}}\right) \cdot x\]

   14. Simplified 62.0

       \[\leadsto \left(\frac{\left({x}^{6} \cdot 0.007264418199999999985194687468492702464573 + \left(1 + \left(x \cdot 0.1049934946999999951788851149103720672429\right) \cdot x\right)\right) + \left(\left(5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4} + 0.04240606040000000076517494562722276896238\right) + 1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot {x}^{6}\right) \cdot {x}^{4}}{\left(1 + \left(\left(0.06945557609999999937322456844412954524159 \cdot \left(x \cdot x\right) + 0.2909738639000000182122107617033179849386\right) \cdot {x}^{4} + \left(0.01400054419999999938406531896362139377743 + \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(\left(x \cdot x\right) \cdot 2\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) \cdot \left(x \cdot x\right)\right) \cdot {\left(x \cdot x\right)}^{4}\right)\right) \cdot \left(1 + \left(\left(0.06945557609999999937322456844412954524159 \cdot \left(x \cdot x\right) + 0.2909738639000000182122107617033179849386\right) \cdot {x}^{4} + \left(0.01400054419999999938406531896362139377743 + \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(\left(x \cdot x\right) \cdot 2\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) \cdot \left(x \cdot x\right)\right) \cdot {\left(x \cdot x\right)}^{4}\right)\right) - \left(0.7715471018999999763821051601553335785866 \cdot 0.7715471018999999763821051601553335785866\right) \cdot {x}^{4}} \cdot \color{blue}{\left(1 + \left(\left(\left(0.06945557609999999937322456844412954524159 \cdot \left(x \cdot x\right) + 0.2909738639000000182122107617033179849386\right) \cdot {x}^{4} + \left(0.01400054419999999938406531896362139377743 + \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(\left(x \cdot x\right) \cdot 2\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) \cdot \left(x \cdot x\right)\right) \cdot {\left(x \cdot x\right)}^{4}\right) - 0.7715471018999999763821051601553335785866 \cdot \left(x \cdot x\right)\right)\right)}\right) \cdot x\]

   15. Taylor expanded around inf 0.0

       \[\leadsto \color{blue}{0.1529819634592826105290441773831844329834 \cdot \frac{1}{{x}^{5}} + \left(0.2514179000665373031608851306373253464699 \cdot \frac{1}{{x}^{3}} + 0.5 \cdot \frac{1}{x}\right)}\]

   16. Simplified 0.0

       \[\leadsto \color{blue}{\left(\frac{0.2514179000665373031608851306373253464699}{{x}^{3}} + \frac{0.5}{x}\right) + \frac{0.1529819634592826105290441773831844329834}{{x}^{5}}}\]

   if -734.6067551207024 < x < 269399.4827619773

   1. Initial program 0.0

      \[\frac{\left(\left(\left(\left(1 + 0.1049934946999999951788851149103720672429 \cdot \left(x \cdot x\right)\right) + 0.04240606040000000076517494562722276896238 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.007264418199999999985194687468492702464573 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)}{\left(\left(\left(\left(\left(1 + 0.7715471018999999763821051601553335785866 \cdot \left(x \cdot x\right)\right) + 0.2909738639000000182122107617033179849386 \cdot \left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right)\right) + 0.06945557609999999937322456844412954524159 \cdot \left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 0.01400054419999999938406531896362139377743 \cdot \left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4} \cdot \left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)\right) + \left(2 \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) \cdot \left(\left(\left(\left(\left(\left(x \cdot x\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right) \cdot \left(x \cdot x\right)\right)} \cdot x\]

   2. Simplified 0.0

      \[\leadsto \color{blue}{\frac{{x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)}{\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)} \cdot x}\]
   3. Using strategy rm

   4. Applied add-cbrt-cube 0.0

      \[\leadsto \frac{{x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)}{\color{blue}{\sqrt[3]{\left(\left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right)}}} \cdot x\]

   5. Applied add-cbrt-cube 0.0

      \[\leadsto \frac{\color{blue}{\sqrt[3]{\left(\left({x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)\right) \cdot \left({x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)\right)\right) \cdot \left({x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)\right)}}}{\sqrt[3]{\left(\left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right)}} \cdot x\]

   6. Applied cbrt-undiv 0.0

      \[\leadsto \color{blue}{\sqrt[3]{\frac{\left(\left({x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)\right) \cdot \left({x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)\right)\right) \cdot \left({x}^{4} \cdot \left(\left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + 5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4}\right) + 0.04240606040000000076517494562722276896238\right) + \left(\left(x \cdot x\right) \cdot 0.1049934946999999951788851149103720672429 + \left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right)\right)\right)}{\left(\left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right)\right) \cdot \left(\left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866 + \left(\left({x}^{4} \cdot \left(x \cdot \left(x \cdot 0.06945557609999999937322456844412954524159\right) + 0.2909738639000000182122107617033179849386\right) + 1\right) + {\left(x \cdot x\right)}^{4} \cdot \left(\left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + \left(\left(x \cdot x\right) \cdot 2\right) \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right)\right)\right)}}} \cdot x\]

   7. Simplified 0.0

      \[\leadsto \sqrt[3]{\color{blue}{{\left(\frac{\left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right) + \left(x \cdot \left(x \cdot 0.1049934946999999951788851149103720672429\right) + \left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + \left({x}^{4} \cdot 5.064034000000000243502107366566633572802 \cdot 10^{-4} + 0.04240606040000000076517494562722276896238\right)\right) \cdot {x}^{4}\right)}{\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) + 0.7715471018999999763821051601553335785866 \cdot {x}^{2}}\right)}^{3}}} \cdot x\]
   8. Using strategy rm

   9. Applied flip-+ 0.0

      \[\leadsto \sqrt[3]{{\left(\frac{\left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right) + \left(x \cdot \left(x \cdot 0.1049934946999999951788851149103720672429\right) + \left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + \left({x}^{4} \cdot 5.064034000000000243502107366566633572802 \cdot 10^{-4} + 0.04240606040000000076517494562722276896238\right)\right) \cdot {x}^{4}\right)}{\color{blue}{\frac{\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) \cdot \left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right) \cdot \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)}{\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - 0.7715471018999999763821051601553335785866 \cdot {x}^{2}}}}\right)}^{3}} \cdot x\]

   10. Applied associate-/r/ 0.0

       \[\leadsto \sqrt[3]{{\color{blue}{\left(\frac{\left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right) + \left(x \cdot \left(x \cdot 0.1049934946999999951788851149103720672429\right) + \left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + \left({x}^{4} \cdot 5.064034000000000243502107366566633572802 \cdot 10^{-4} + 0.04240606040000000076517494562722276896238\right)\right) \cdot {x}^{4}\right)}{\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) \cdot \left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right) \cdot \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)} \cdot \left(\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - 0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)\right)}}^{3}} \cdot x\]

   11. Applied unpow-prod-down 0.0

       \[\leadsto \sqrt[3]{\color{blue}{{\left(\frac{\left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right) + \left(x \cdot \left(x \cdot 0.1049934946999999951788851149103720672429\right) + \left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + \left({x}^{4} \cdot 5.064034000000000243502107366566633572802 \cdot 10^{-4} + 0.04240606040000000076517494562722276896238\right)\right) \cdot {x}^{4}\right)}{\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) \cdot \left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right) \cdot \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)}\right)}^{3} \cdot {\left(\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - 0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)}^{3}}} \cdot x\]

   12. Applied cbrt-prod 0.0

       \[\leadsto \color{blue}{\left(\sqrt[3]{{\left(\frac{\left(0.007264418199999999985194687468492702464573 \cdot {x}^{6} + 1\right) + \left(x \cdot \left(x \cdot 0.1049934946999999951788851149103720672429\right) + \left({x}^{6} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4} + \left({x}^{4} \cdot 5.064034000000000243502107366566633572802 \cdot 10^{-4} + 0.04240606040000000076517494562722276896238\right)\right) \cdot {x}^{4}\right)}{\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) \cdot \left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right) \cdot \left(0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)}\right)}^{3}} \cdot \sqrt[3]{{\left(\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - 0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)}^{3}}\right)} \cdot x\]

   13. Simplified 0.0

       \[\leadsto \left(\color{blue}{\frac{\left({x}^{6} \cdot 0.007264418199999999985194687468492702464573 + \left(1 + \left(x \cdot 0.1049934946999999951788851149103720672429\right) \cdot x\right)\right) + \left(\left(5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4} + 0.04240606040000000076517494562722276896238\right) + 1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot {x}^{6}\right) \cdot {x}^{4}}{\left(1 + \left(\left(0.06945557609999999937322456844412954524159 \cdot \left(x \cdot x\right) + 0.2909738639000000182122107617033179849386\right) \cdot {x}^{4} + \left(0.01400054419999999938406531896362139377743 + \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(\left(x \cdot x\right) \cdot 2\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) \cdot \left(x \cdot x\right)\right) \cdot {\left(x \cdot x\right)}^{4}\right)\right) \cdot \left(1 + \left(\left(0.06945557609999999937322456844412954524159 \cdot \left(x \cdot x\right) + 0.2909738639000000182122107617033179849386\right) \cdot {x}^{4} + \left(0.01400054419999999938406531896362139377743 + \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(\left(x \cdot x\right) \cdot 2\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) \cdot \left(x \cdot x\right)\right) \cdot {\left(x \cdot x\right)}^{4}\right)\right) - \left(0.7715471018999999763821051601553335785866 \cdot 0.7715471018999999763821051601553335785866\right) \cdot {x}^{4}}} \cdot \sqrt[3]{{\left(\left(\left(1 + {x}^{4} \cdot \left(\left(x \cdot 0.06945557609999999937322456844412954524159\right) \cdot x + 0.2909738639000000182122107617033179849386\right)\right) + {\left({x}^{2}\right)}^{4} \cdot \left(0.01400054419999999938406531896362139377743 + \left(x \cdot x\right) \cdot \left(8.327945000000000442749725770852364803432 \cdot 10^{-4} + 2 \cdot \left({x}^{2} \cdot 1.789971000000000009994005623070734145585 \cdot 10^{-4}\right)\right)\right)\right) - 0.7715471018999999763821051601553335785866 \cdot {x}^{2}\right)}^{3}}\right) \cdot x\]

   14. Simplified 0.0

       \[\leadsto \left(\frac{\left({x}^{6} \cdot 0.007264418199999999985194687468492702464573 + \left(1 + \left(x \cdot 0.1049934946999999951788851149103720672429\right) \cdot x\right)\right) + \left(\left(5.064034000000000243502107366566633572802 \cdot 10^{-4} \cdot {x}^{4} + 0.04240606040000000076517494562722276896238\right) + 1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot {x}^{6}\right) \cdot {x}^{4}}{\left(1 + \left(\left(0.06945557609999999937322456844412954524159 \cdot \left(x \cdot x\right) + 0.2909738639000000182122107617033179849386\right) \cdot {x}^{4} + \left(0.01400054419999999938406531896362139377743 + \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(\left(x \cdot x\right) \cdot 2\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) \cdot \left(x \cdot x\right)\right) \cdot {\left(x \cdot x\right)}^{4}\right)\right) \cdot \left(1 + \left(\left(0.06945557609999999937322456844412954524159 \cdot \left(x \cdot x\right) + 0.2909738639000000182122107617033179849386\right) \cdot {x}^{4} + \left(0.01400054419999999938406531896362139377743 + \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(\left(x \cdot x\right) \cdot 2\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) \cdot \left(x \cdot x\right)\right) \cdot {\left(x \cdot x\right)}^{4}\right)\right) - \left(0.7715471018999999763821051601553335785866 \cdot 0.7715471018999999763821051601553335785866\right) \cdot {x}^{4}} \cdot \color{blue}{\left(1 + \left(\left(\left(0.06945557609999999937322456844412954524159 \cdot \left(x \cdot x\right) + 0.2909738639000000182122107617033179849386\right) \cdot {x}^{4} + \left(0.01400054419999999938406531896362139377743 + \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(\left(x \cdot x\right) \cdot 2\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) \cdot \left(x \cdot x\right)\right) \cdot {\left(x \cdot x\right)}^{4}\right) - 0.7715471018999999763821051601553335785866 \cdot \left(x \cdot x\right)\right)\right)}\right) \cdot x\]
3. Recombined 2 regimes into one program.

4. Final simplification 0.0

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \le -734.6067551207023598180967383086681365967 \lor \neg \left(x \le 269399.4827619772986508905887603759765625\right):\\ \;\;\;\;\frac{0.1529819634592826105290441773831844329834}{{x}^{5}} + \left(\frac{0.5}{x} + \frac{0.2514179000665373031608851306373253464699}{{x}^{3}}\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\frac{\left({x}^{6} \cdot 0.007264418199999999985194687468492702464573 + \left(1 + \left(x \cdot 0.1049934946999999951788851149103720672429\right) \cdot x\right)\right) + {x}^{4} \cdot \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot {x}^{6} + \left({x}^{4} \cdot 5.064034000000000243502107366566633572802 \cdot 10^{-4} + 0.04240606040000000076517494562722276896238\right)\right)}{\left(1 + \left({x}^{4} \cdot \left(0.2909738639000000182122107617033179849386 + \left(x \cdot x\right) \cdot 0.06945557609999999937322456844412954524159\right) + \left(\left(x \cdot x\right) \cdot \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(2 \cdot \left(x \cdot x\right)\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right) \cdot {\left(x \cdot x\right)}^{4}\right)\right) \cdot \left(1 + \left({x}^{4} \cdot \left(0.2909738639000000182122107617033179849386 + \left(x \cdot x\right) \cdot 0.06945557609999999937322456844412954524159\right) + \left(\left(x \cdot x\right) \cdot \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(2 \cdot \left(x \cdot x\right)\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right) \cdot {\left(x \cdot x\right)}^{4}\right)\right) - {x}^{4} \cdot \left(0.7715471018999999763821051601553335785866 \cdot 0.7715471018999999763821051601553335785866\right)} \cdot \left(\left(\left({x}^{4} \cdot \left(0.2909738639000000182122107617033179849386 + \left(x \cdot x\right) \cdot 0.06945557609999999937322456844412954524159\right) + \left(\left(x \cdot x\right) \cdot \left(1.789971000000000009994005623070734145585 \cdot 10^{-4} \cdot \left(2 \cdot \left(x \cdot x\right)\right) + 8.327945000000000442749725770852364803432 \cdot 10^{-4}\right) + 0.01400054419999999938406531896362139377743\right) \cdot {\left(x \cdot x\right)}^{4}\right) - \left(x \cdot x\right) \cdot 0.7715471018999999763821051601553335785866\right) + 1\right)\right)\\ \end{array}\]

Reproduce

herbie shell --seed 2019174 
(FPCore (x)
  :name "Jmat.Real.dawson"
  (* (/ (+ (+ (+ (+ (+ 1.0 (* 0.1049934947 (* x x))) (* 0.0424060604 (* (* x x) (* x x)))) (* 0.0072644182 (* (* (* x x) (* x x)) (* x x)))) (* 0.0005064034 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0001789971 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (+ (+ (+ (+ (+ (+ 1.0 (* 0.7715471019 (* x x))) (* 0.2909738639 (* (* x x) (* x x)))) (* 0.0694555761 (* (* (* x x) (* x x)) (* x x)))) (* 0.0140005442 (* (* (* (* x x) (* x x)) (* x x)) (* x x)))) (* 0.0008327945 (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)))) (* (* 2.0 0.0001789971) (* (* (* (* (* (* x x) (* x x)) (* x x)) (* x x)) (* x x)) (* x x))))) x))