\[(x * y + z)_* - \left(1 + \left(x \cdot y + z\right)\right)\]
Test:
simple fma test
Bits:
128 bits
Bits error versus x
Bits error versus y
Bits error versus z
Time: 7.1 s
Input Error: 44.8
Output Error: 44.8
Log: ⚲
Profile: 🕒
\({\left(\sqrt[3]{(x * y + z)_* - \left(1 + \left(x \cdot y + z\right)\right)}\right)}^3\)
  1. Started with
    \[(x * y + z)_* - \left(1 + \left(x \cdot y + z\right)\right)\]
    44.8
  2. Using strategy rm
    44.8
  3. Applied add-cube-cbrt to get
    \[\color{red}{(x * y + z)_* - \left(1 + \left(x \cdot y + z\right)\right)} \leadsto \color{blue}{{\left(\sqrt[3]{(x * y + z)_* - \left(1 + \left(x \cdot y + z\right)\right)}\right)}^3}\]
    44.8
  4. Removed slow pow expressions

Original test:


(lambda ((x default) (y default) (z default))
  #:name "simple fma test"
  (- (fma x y z) (+ 1 (+ (* x y) z)))
  #:target
  -1)