\[\frac{{\left(\sin^{-1} \left(\tan^{-1} \left( 3.280379569422725 \cdot 10^{-280} \right)\right)\right)}^{\left(\tan b\right)}}{{a}^2}\]
Test:
(/ (pow (asin (atan 3.280379569422725e-280)) (tan b)) (sqr a))
Bits:
128 bits
Bits error versus a
Bits error versus b
Time: 32.6 s
Input Error: 8.5
Output Error: 5.0
Log: ⚲
Profile: 🕒
\({\left(\frac{{\left(\sqrt[3]{{\left(\sqrt[3]{\sqrt{{\left(\sin^{-1} \left(\tan^{-1} \left( 3.280379569422725 \cdot 10^{-280} \right)\right)\right)}^{\left(\tan b\right)}}}\right)}^3}\right)}^3}{a}\right)}^2\)
  1. Started with
    \[\frac{{\left(\sin^{-1} \left(\tan^{-1} \left( 3.280379569422725 \cdot 10^{-280} \right)\right)\right)}^{\left(\tan b\right)}}{{a}^2}\]
    8.5
  2. Using strategy rm
    8.5
  3. Applied add-sqr-sqrt to get
    \[\frac{\color{red}{{\left(\sin^{-1} \left(\tan^{-1} \left( 3.280379569422725 \cdot 10^{-280} \right)\right)\right)}^{\left(\tan b\right)}}}{{a}^2} \leadsto \frac{\color{blue}{{\left(\sqrt{{\left(\sin^{-1} \left(\tan^{-1} \left( 3.280379569422725 \cdot 10^{-280} \right)\right)\right)}^{\left(\tan b\right)}}\right)}^2}}{{a}^2}\]
    8.5
  4. Applied square-undiv to get
    \[\color{red}{\frac{{\left(\sqrt{{\left(\sin^{-1} \left(\tan^{-1} \left( 3.280379569422725 \cdot 10^{-280} \right)\right)\right)}^{\left(\tan b\right)}}\right)}^2}{{a}^2}} \leadsto \color{blue}{{\left(\frac{\sqrt{{\left(\sin^{-1} \left(\tan^{-1} \left( 3.280379569422725 \cdot 10^{-280} \right)\right)\right)}^{\left(\tan b\right)}}}{a}\right)}^2}\]
    5.0
  5. Using strategy rm
    5.0
  6. Applied add-cube-cbrt to get
    \[{\left(\frac{\color{red}{\sqrt{{\left(\sin^{-1} \left(\tan^{-1} \left( 3.280379569422725 \cdot 10^{-280} \right)\right)\right)}^{\left(\tan b\right)}}}}{a}\right)}^2 \leadsto {\left(\frac{\color{blue}{{\left(\sqrt[3]{\sqrt{{\left(\sin^{-1} \left(\tan^{-1} \left( 3.280379569422725 \cdot 10^{-280} \right)\right)\right)}^{\left(\tan b\right)}}}\right)}^3}}{a}\right)}^2\]
    5.0
  7. Using strategy rm
    5.0
  8. Applied add-cube-cbrt to get
    \[{\left(\frac{{\left(\sqrt[3]{\color{red}{\sqrt{{\left(\sin^{-1} \left(\tan^{-1} \left( 3.280379569422725 \cdot 10^{-280} \right)\right)\right)}^{\left(\tan b\right)}}}}\right)}^3}{a}\right)}^2 \leadsto {\left(\frac{{\left(\sqrt[3]{\color{blue}{{\left(\sqrt[3]{\sqrt{{\left(\sin^{-1} \left(\tan^{-1} \left( 3.280379569422725 \cdot 10^{-280} \right)\right)\right)}^{\left(\tan b\right)}}}\right)}^3}}\right)}^3}{a}\right)}^2\]
    5.0
  9. Removed slow pow expressions

Original test:


(lambda ((a default) (b default))
  #:name "(/ (pow (asin (atan 3.280379569422725e-280)) (tan b)) (sqr a))"
  (/ (pow (asin (atan 3.280379569422725e-280)) (tan b)) (sqr a)))