\[\sqrt{\left(\sqrt{b^2 + \left(\tan \left( -1.7821069461122345 \cdot 10^{-254} \right)\right)^2}^*\right)^2 + \left(a + \sqrt{a^2 + c^2}^*\right)^2}^*\]
Test:
(hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c)))
Bits:
128 bits
Bits error versus a
Bits error versus b
Bits error versus c
Time: 3.7 s
Input Error: 1.0
Output Error: 1.0
Log: ⚲
Profile: 🕒
\(\sqrt{\left(\sqrt{b^2 + \left(\tan \left( -1.7821069461122345 \cdot 10^{-254} \right)\right)^2}^*\right)^2 + \left(a + \sqrt{a^2 + c^2}^*\right)^2}^*\)
  1. Started with
    \[\sqrt{\left(\sqrt{b^2 + \left(\tan \left( -1.7821069461122345 \cdot 10^{-254} \right)\right)^2}^*\right)^2 + \left(a + \sqrt{a^2 + c^2}^*\right)^2}^*\]
    1.0

Original test:


(lambda ((a default) (b default) (c default))
  #:name "(hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c)))"
  (hypot (hypot b (tan -1.7821069461122345e-254)) (+ a (hypot a c))))