Average Error: 6.5 → 0.5
Time: 31.3s
Precision: 64
\[\left(\left({\left(\frac{\frac{\left(48 \cdot \pi\right) \cdot \pi}{1.205 \cdot 10^{-29}}}{1.205 \cdot 10^{-29}}\right)}^{\left(\frac{1}{3}\right)} \cdot \left(10^{-06} \cdot e^{\frac{-1.1}{8.625 \cdot 10^{-05} \cdot 823}}\right)\right) \cdot {\left(i + 1\right)}^{\left(\frac{1}{3}\right)}\right) \cdot e^{\frac{-\left(1.77 - \frac{\left(2 \cdot 6.25 \cdot 10^{+18}\right) \cdot 1.205 \cdot 10^{-29}}{{\left(\frac{\left(3 \cdot \left(i + 1\right)\right) \cdot 1.205 \cdot 10^{-29}}{4 \cdot \pi}\right)}^{\left(\frac{1}{3}\right)}}\right)}{8.625 \cdot 10^{-05} \cdot 823}}\]
\[\begin{array}{l} \mathbf{if}\;i \le 6.307946269617159 \cdot 10^{-15}:\\ \;\;\;\;\frac{\sqrt[3]{\left(48 \cdot \frac{\pi}{1.205 \cdot 10^{-29}}\right) \cdot \frac{\pi}{1.205 \cdot 10^{-29}}}}{{\left(e^{\sqrt{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}}\right)}^{\left(\sqrt{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}\right)}} \cdot \frac{\sqrt[3]{1 + i} \cdot 10^{-06}}{\left(\sqrt[3]{e^{\frac{1.1}{8.625 \cdot 10^{-05} \cdot 823}}} \cdot \sqrt[3]{e^{\frac{1.1}{8.625 \cdot 10^{-05} \cdot 823}}}\right) \cdot \sqrt[3]{e^{\frac{1.1}{8.625 \cdot 10^{-05} \cdot 823}}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{\sqrt[3]{\left(48 \cdot \frac{\pi}{1.205 \cdot 10^{-29}}\right) \cdot \frac{\pi}{1.205 \cdot 10^{-29}}}}{\left(\sqrt[3]{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}} \cdot \sqrt[3]{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}}\right) \cdot \sqrt[3]{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}}} \cdot \frac{\sqrt[3]{1 + i} \cdot 10^{-06}}{e^{\frac{1.1}{8.625 \cdot 10^{-05} \cdot 823}}}\\ \end{array}\]
\left(\left({\left(\frac{\frac{\left(48 \cdot \pi\right) \cdot \pi}{1.205 \cdot 10^{-29}}}{1.205 \cdot 10^{-29}}\right)}^{\left(\frac{1}{3}\right)} \cdot \left(10^{-06} \cdot e^{\frac{-1.1}{8.625 \cdot 10^{-05} \cdot 823}}\right)\right) \cdot {\left(i + 1\right)}^{\left(\frac{1}{3}\right)}\right) \cdot e^{\frac{-\left(1.77 - \frac{\left(2 \cdot 6.25 \cdot 10^{+18}\right) \cdot 1.205 \cdot 10^{-29}}{{\left(\frac{\left(3 \cdot \left(i + 1\right)\right) \cdot 1.205 \cdot 10^{-29}}{4 \cdot \pi}\right)}^{\left(\frac{1}{3}\right)}}\right)}{8.625 \cdot 10^{-05} \cdot 823}}
\begin{array}{l}
\mathbf{if}\;i \le 6.307946269617159 \cdot 10^{-15}:\\
\;\;\;\;\frac{\sqrt[3]{\left(48 \cdot \frac{\pi}{1.205 \cdot 10^{-29}}\right) \cdot \frac{\pi}{1.205 \cdot 10^{-29}}}}{{\left(e^{\sqrt{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}}\right)}^{\left(\sqrt{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}\right)}} \cdot \frac{\sqrt[3]{1 + i} \cdot 10^{-06}}{\left(\sqrt[3]{e^{\frac{1.1}{8.625 \cdot 10^{-05} \cdot 823}}} \cdot \sqrt[3]{e^{\frac{1.1}{8.625 \cdot 10^{-05} \cdot 823}}}\right) \cdot \sqrt[3]{e^{\frac{1.1}{8.625 \cdot 10^{-05} \cdot 823}}}}\\

\mathbf{else}:\\
\;\;\;\;\frac{\sqrt[3]{\left(48 \cdot \frac{\pi}{1.205 \cdot 10^{-29}}\right) \cdot \frac{\pi}{1.205 \cdot 10^{-29}}}}{\left(\sqrt[3]{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}} \cdot \sqrt[3]{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}}\right) \cdot \sqrt[3]{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}}} \cdot \frac{\sqrt[3]{1 + i} \cdot 10^{-06}}{e^{\frac{1.1}{8.625 \cdot 10^{-05} \cdot 823}}}\\

\end{array}
double f(double i) {
        double r10902529 = 48.0;
        double r10902530 = atan2(1.0, 0.0);
        double r10902531 = r10902529 * r10902530;
        double r10902532 = r10902531 * r10902530;
        double r10902533 = 1.205e-29;
        double r10902534 = r10902532 / r10902533;
        double r10902535 = r10902534 / r10902533;
        double r10902536 = 1.0;
        double r10902537 = 3.0;
        double r10902538 = r10902536 / r10902537;
        double r10902539 = pow(r10902535, r10902538);
        double r10902540 = 1e-06;
        double r10902541 = 1.1;
        double r10902542 = -r10902541;
        double r10902543 = 8.625e-05;
        double r10902544 = 823.0;
        double r10902545 = r10902543 * r10902544;
        double r10902546 = r10902542 / r10902545;
        double r10902547 = exp(r10902546);
        double r10902548 = r10902540 * r10902547;
        double r10902549 = r10902539 * r10902548;
        double r10902550 = i;
        double r10902551 = r10902550 + r10902536;
        double r10902552 = pow(r10902551, r10902538);
        double r10902553 = r10902549 * r10902552;
        double r10902554 = 1.77;
        double r10902555 = 2.0;
        double r10902556 = 6.25e+18;
        double r10902557 = r10902555 * r10902556;
        double r10902558 = r10902557 * r10902533;
        double r10902559 = r10902537 * r10902551;
        double r10902560 = r10902559 * r10902533;
        double r10902561 = 4.0;
        double r10902562 = r10902561 * r10902530;
        double r10902563 = r10902560 / r10902562;
        double r10902564 = pow(r10902563, r10902538);
        double r10902565 = r10902558 / r10902564;
        double r10902566 = r10902554 - r10902565;
        double r10902567 = -r10902566;
        double r10902568 = r10902567 / r10902545;
        double r10902569 = exp(r10902568);
        double r10902570 = r10902553 * r10902569;
        return r10902570;
}

double f(double i) {
        double r10902571 = i;
        double r10902572 = 6.307946269617159e-15;
        bool r10902573 = r10902571 <= r10902572;
        double r10902574 = 48.0;
        double r10902575 = atan2(1.0, 0.0);
        double r10902576 = 1.205e-29;
        double r10902577 = r10902575 / r10902576;
        double r10902578 = r10902574 * r10902577;
        double r10902579 = r10902578 * r10902577;
        double r10902580 = cbrt(r10902579);
        double r10902581 = 1.77;
        double r10902582 = 2.0;
        double r10902583 = r10902576 * r10902582;
        double r10902584 = 1.0;
        double r10902585 = r10902584 + r10902571;
        double r10902586 = 1.3333333333333333;
        double r10902587 = r10902576 / r10902575;
        double r10902588 = r10902586 / r10902587;
        double r10902589 = r10902585 / r10902588;
        double r10902590 = cbrt(r10902589);
        double r10902591 = 6.25e+18;
        double r10902592 = r10902590 / r10902591;
        double r10902593 = r10902583 / r10902592;
        double r10902594 = r10902581 - r10902593;
        double r10902595 = 8.625e-05;
        double r10902596 = 823.0;
        double r10902597 = r10902595 * r10902596;
        double r10902598 = r10902594 / r10902597;
        double r10902599 = sqrt(r10902598);
        double r10902600 = exp(r10902599);
        double r10902601 = pow(r10902600, r10902599);
        double r10902602 = r10902580 / r10902601;
        double r10902603 = cbrt(r10902585);
        double r10902604 = 1e-06;
        double r10902605 = r10902603 * r10902604;
        double r10902606 = 1.1;
        double r10902607 = r10902606 / r10902597;
        double r10902608 = exp(r10902607);
        double r10902609 = cbrt(r10902608);
        double r10902610 = r10902609 * r10902609;
        double r10902611 = r10902610 * r10902609;
        double r10902612 = r10902605 / r10902611;
        double r10902613 = r10902602 * r10902612;
        double r10902614 = exp(r10902598);
        double r10902615 = cbrt(r10902614);
        double r10902616 = r10902615 * r10902615;
        double r10902617 = r10902616 * r10902615;
        double r10902618 = r10902580 / r10902617;
        double r10902619 = r10902605 / r10902608;
        double r10902620 = r10902618 * r10902619;
        double r10902621 = r10902573 ? r10902613 : r10902620;
        return r10902621;
}

Error

Bits error versus i

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Split input into 2 regimes
  2. if i < 6.307946269617159e-15

    1. Initial program 6.9

      \[\left(\left({\left(\frac{\frac{\left(48 \cdot \pi\right) \cdot \pi}{1.205 \cdot 10^{-29}}}{1.205 \cdot 10^{-29}}\right)}^{\left(\frac{1}{3}\right)} \cdot \left(10^{-06} \cdot e^{\frac{-1.1}{8.625 \cdot 10^{-05} \cdot 823}}\right)\right) \cdot {\left(i + 1\right)}^{\left(\frac{1}{3}\right)}\right) \cdot e^{\frac{-\left(1.77 - \frac{\left(2 \cdot 6.25 \cdot 10^{+18}\right) \cdot 1.205 \cdot 10^{-29}}{{\left(\frac{\left(3 \cdot \left(i + 1\right)\right) \cdot 1.205 \cdot 10^{-29}}{4 \cdot \pi}\right)}^{\left(\frac{1}{3}\right)}}\right)}{8.625 \cdot 10^{-05} \cdot 823}}\]
    2. Simplified2.6

      \[\leadsto \color{blue}{\frac{\sqrt[3]{1 + i} \cdot 10^{-06}}{e^{\frac{1.1}{823 \cdot 8.625 \cdot 10^{-05}}}} \cdot \frac{\sqrt[3]{\left(\frac{\pi}{1.205 \cdot 10^{-29}} \cdot 48\right) \cdot \frac{\pi}{1.205 \cdot 10^{-29}}}}{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{823 \cdot 8.625 \cdot 10^{-05}}}}}\]
    3. Using strategy rm
    4. Applied add-cube-cbrt1.1

      \[\leadsto \frac{\sqrt[3]{1 + i} \cdot 10^{-06}}{\color{blue}{\left(\sqrt[3]{e^{\frac{1.1}{823 \cdot 8.625 \cdot 10^{-05}}}} \cdot \sqrt[3]{e^{\frac{1.1}{823 \cdot 8.625 \cdot 10^{-05}}}}\right) \cdot \sqrt[3]{e^{\frac{1.1}{823 \cdot 8.625 \cdot 10^{-05}}}}}} \cdot \frac{\sqrt[3]{\left(\frac{\pi}{1.205 \cdot 10^{-29}} \cdot 48\right) \cdot \frac{\pi}{1.205 \cdot 10^{-29}}}}{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{823 \cdot 8.625 \cdot 10^{-05}}}}\]
    5. Using strategy rm
    6. Applied add-sqr-sqrt1.1

      \[\leadsto \frac{\sqrt[3]{1 + i} \cdot 10^{-06}}{\left(\sqrt[3]{e^{\frac{1.1}{823 \cdot 8.625 \cdot 10^{-05}}}} \cdot \sqrt[3]{e^{\frac{1.1}{823 \cdot 8.625 \cdot 10^{-05}}}}\right) \cdot \sqrt[3]{e^{\frac{1.1}{823 \cdot 8.625 \cdot 10^{-05}}}}} \cdot \frac{\sqrt[3]{\left(\frac{\pi}{1.205 \cdot 10^{-29}} \cdot 48\right) \cdot \frac{\pi}{1.205 \cdot 10^{-29}}}}{e^{\color{blue}{\sqrt{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{823 \cdot 8.625 \cdot 10^{-05}}} \cdot \sqrt{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{823 \cdot 8.625 \cdot 10^{-05}}}}}}\]
    7. Applied exp-prod0.1

      \[\leadsto \frac{\sqrt[3]{1 + i} \cdot 10^{-06}}{\left(\sqrt[3]{e^{\frac{1.1}{823 \cdot 8.625 \cdot 10^{-05}}}} \cdot \sqrt[3]{e^{\frac{1.1}{823 \cdot 8.625 \cdot 10^{-05}}}}\right) \cdot \sqrt[3]{e^{\frac{1.1}{823 \cdot 8.625 \cdot 10^{-05}}}}} \cdot \frac{\sqrt[3]{\left(\frac{\pi}{1.205 \cdot 10^{-29}} \cdot 48\right) \cdot \frac{\pi}{1.205 \cdot 10^{-29}}}}{\color{blue}{{\left(e^{\sqrt{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{823 \cdot 8.625 \cdot 10^{-05}}}}\right)}^{\left(\sqrt{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{823 \cdot 8.625 \cdot 10^{-05}}}\right)}}}\]

    if 6.307946269617159e-15 < i

    1. Initial program 5.7

      \[\left(\left({\left(\frac{\frac{\left(48 \cdot \pi\right) \cdot \pi}{1.205 \cdot 10^{-29}}}{1.205 \cdot 10^{-29}}\right)}^{\left(\frac{1}{3}\right)} \cdot \left(10^{-06} \cdot e^{\frac{-1.1}{8.625 \cdot 10^{-05} \cdot 823}}\right)\right) \cdot {\left(i + 1\right)}^{\left(\frac{1}{3}\right)}\right) \cdot e^{\frac{-\left(1.77 - \frac{\left(2 \cdot 6.25 \cdot 10^{+18}\right) \cdot 1.205 \cdot 10^{-29}}{{\left(\frac{\left(3 \cdot \left(i + 1\right)\right) \cdot 1.205 \cdot 10^{-29}}{4 \cdot \pi}\right)}^{\left(\frac{1}{3}\right)}}\right)}{8.625 \cdot 10^{-05} \cdot 823}}\]
    2. Simplified1.5

      \[\leadsto \color{blue}{\frac{\sqrt[3]{1 + i} \cdot 10^{-06}}{e^{\frac{1.1}{823 \cdot 8.625 \cdot 10^{-05}}}} \cdot \frac{\sqrt[3]{\left(\frac{\pi}{1.205 \cdot 10^{-29}} \cdot 48\right) \cdot \frac{\pi}{1.205 \cdot 10^{-29}}}}{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{823 \cdot 8.625 \cdot 10^{-05}}}}}\]
    3. Using strategy rm
    4. Applied add-cube-cbrt1.1

      \[\leadsto \frac{\sqrt[3]{1 + i} \cdot 10^{-06}}{e^{\frac{1.1}{823 \cdot 8.625 \cdot 10^{-05}}}} \cdot \frac{\sqrt[3]{\left(\frac{\pi}{1.205 \cdot 10^{-29}} \cdot 48\right) \cdot \frac{\pi}{1.205 \cdot 10^{-29}}}}{\color{blue}{\left(\sqrt[3]{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{823 \cdot 8.625 \cdot 10^{-05}}}} \cdot \sqrt[3]{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{823 \cdot 8.625 \cdot 10^{-05}}}}\right) \cdot \sqrt[3]{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{823 \cdot 8.625 \cdot 10^{-05}}}}}}\]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.5

    \[\leadsto \begin{array}{l} \mathbf{if}\;i \le 6.307946269617159 \cdot 10^{-15}:\\ \;\;\;\;\frac{\sqrt[3]{\left(48 \cdot \frac{\pi}{1.205 \cdot 10^{-29}}\right) \cdot \frac{\pi}{1.205 \cdot 10^{-29}}}}{{\left(e^{\sqrt{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}}\right)}^{\left(\sqrt{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}\right)}} \cdot \frac{\sqrt[3]{1 + i} \cdot 10^{-06}}{\left(\sqrt[3]{e^{\frac{1.1}{8.625 \cdot 10^{-05} \cdot 823}}} \cdot \sqrt[3]{e^{\frac{1.1}{8.625 \cdot 10^{-05} \cdot 823}}}\right) \cdot \sqrt[3]{e^{\frac{1.1}{8.625 \cdot 10^{-05} \cdot 823}}}}\\ \mathbf{else}:\\ \;\;\;\;\frac{\sqrt[3]{\left(48 \cdot \frac{\pi}{1.205 \cdot 10^{-29}}\right) \cdot \frac{\pi}{1.205 \cdot 10^{-29}}}}{\left(\sqrt[3]{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}} \cdot \sqrt[3]{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}}\right) \cdot \sqrt[3]{e^{\frac{1.77 - \frac{1.205 \cdot 10^{-29} \cdot 2}{\frac{\sqrt[3]{\frac{1 + i}{\frac{\frac{4}{3}}{\frac{1.205 \cdot 10^{-29}}{\pi}}}}}{6.25 \cdot 10^{+18}}}}{8.625 \cdot 10^{-05} \cdot 823}}}} \cdot \frac{\sqrt[3]{1 + i} \cdot 10^{-06}}{e^{\frac{1.1}{8.625 \cdot 10^{-05} \cdot 823}}}\\ \end{array}\]

Reproduce

herbie shell --seed 1 
(FPCore (i)
  :name "(pow((48*PI*PI/1.205e-29/1.205e-29),1/3)*( 1.0e-6*exp(-1.1/(8.625e-5 * 823))))*pow((i+1),1/3)*exp(-(1.77-2* 6.25e18 *1.205e-29/(pow((3*(i+1)*1.205e-29/(4*PI)),1/3)))/( 8.625e-5 * 823))"
  (* (* (* (pow (/ (/ (* (* 48 PI) PI) 1.205e-29) 1.205e-29) (/ 1 3)) (* 1e-06 (exp (/ (- 1.1) (* 8.625e-05 823))))) (pow (+ i 1) (/ 1 3))) (exp (/ (- (- 1.77 (/ (* (* 2 6.25e+18) 1.205e-29) (pow (/ (* (* 3 (+ i 1)) 1.205e-29) (* 4 PI)) (/ 1 3))))) (* 8.625e-05 823)))))