\[b - \left({\left(\cot b\right)}^{a} + \sin^{-1} b\right)\]
Test:
(- b (+ (pow (cotan b) a) (asin b)))
Bits:
128 bits
Bits error versus a
Bits error versus b
Time: 14.3 s
Input Error: 3.9
Output Error: 4.0
Log: ⚲
Profile: 🕒
\(b - \left({\left(\sqrt{{\left(\cot b\right)}^{a}}\right)}^2 + \sin^{-1} b\right)\)
  1. Started with
    \[b - \left({\left(\cot b\right)}^{a} + \sin^{-1} b\right)\]
    3.9
  2. Using strategy rm
    3.9
  3. Applied add-sqr-sqrt to get
    \[b - \left(\color{red}{{\left(\cot b\right)}^{a}} + \sin^{-1} b\right) \leadsto b - \left(\color{blue}{{\left(\sqrt{{\left(\cot b\right)}^{a}}\right)}^2} + \sin^{-1} b\right)\]
    4.0

Original test:


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