\[b - \left({\left(\cot b\right)}^{a} + \sin^{-1} b\right)\]
Test:
(- b (+ (pow (cotan b) a) (asin b)))
Bits:
128 bits
Bits error versus a
Bits error versus b
Time: 22.6 s
Input Error: 9.8
Output Error: 9.8
Log: ⚲
Profile: 🕒
\(b - \left({\left({\left(\sqrt[3]{\cot b}\right)}^3\right)}^{a} + \sin^{-1} b\right)\)
  1. Started with
    \[b - \left({\left(\cot b\right)}^{a} + \sin^{-1} b\right)\]
    9.8
  2. Using strategy rm
    9.8
  3. Applied add-cube-cbrt to get
    \[b - \left({\color{red}{\left(\cot b\right)}}^{a} + \sin^{-1} b\right) \leadsto b - \left({\color{blue}{\left({\left(\sqrt[3]{\cot b}\right)}^3\right)}}^{a} + \sin^{-1} b\right)\]
    9.8
  4. Removed slow pow expressions

Original test:


(lambda ((a default) (b default))
  #:name "(- b (+ (pow (cotan b) a) (asin b)))"
  (- b (+ (pow (cotan b) a) (asin b))))