\[\sqrt{x - 1} \cdot \sqrt{x}\]
Test:
sqrt times
Bits:
128 bits
Bits error versus x
Time: 6.2 s
Input Error: 0.5
Output Error: 0.5
Log:
Profile: 🕒
\({\left(\sqrt{\sqrt{x - 1} \cdot \sqrt{x}}\right)}^2\)
  1. Started with
    \[\sqrt{x - 1} \cdot \sqrt{x}\]
    0.5
  2. Using strategy rm
    0.5
  3. Applied add-sqr-sqrt to get
    \[\color{red}{\sqrt{x - 1} \cdot \sqrt{x}} \leadsto \color{blue}{{\left(\sqrt{\sqrt{x - 1} \cdot \sqrt{x}}\right)}^2}\]
    0.5

  4. Removed slow pow expressions

Original test:


(lambda ((x default))
  #:name "sqrt times"
  (* (sqrt (- x 1)) (sqrt x)))