\[\frac{\left(-b/2\right) - \sqrt{{b/2}^2 - a \cdot c}}{a}\]
Test:
NMSE problem 3.2.1, negative
Bits:
128 bits
Bits error versus a
Bits error versus b/2
Bits error versus c
Time: 6.2 s
Input Error: 15.9
Output Error: 15.9
Log: ⚲
Profile: 🕒
\(\frac{{\left(\left(-b/2\right) - \sqrt{{b/2}^2 - a \cdot c}\right)}^{1}}{a}\)
  1. Started with
    \[\frac{\left(-b/2\right) - \sqrt{{b/2}^2 - a \cdot c}}{a}\]
    15.9
  2. Using strategy rm
    15.9
  3. Applied pow1 to get
    \[\frac{\color{red}{\left(-b/2\right) - \sqrt{{b/2}^2 - a \cdot c}}}{a} \leadsto \frac{\color{blue}{{\left(\left(-b/2\right) - \sqrt{{b/2}^2 - a \cdot c}\right)}^{1}}}{a}\]
    15.9

Original test:


(lambda ((a default) (b/2 default) (c default))
  #:name "NMSE problem 3.2.1, negative"
  (/ (- (- b/2) (sqrt (- (sqr b/2) (* a c)))) a))