Details

simplify6.5m (49.7%)

sample3.3m (25.4%)

Algorithm
69×halfpoints

prune2.2m (17.0%)

localize36.6s (4.7%)

regimes19.3s (2.5%)

Accuracy

Total 8.3b remaining (33%)

Threshold costs 8.3b (33%)

0.9b0%Octave 3.8, jcobi/4
0.4b0%quadp (p42, positive)
0.4b0%quadm (p42, negative)
0.4b0%quad2p (problem 3.2.1, positive)
0.4b0%Jmat.Real.dawson

rewrite5.8s (0.7%)

Algorithm
123×rewrite-expression-head
Calls

400 calls:

156.0ms
(/.p16 (/.p16 (real->posit16 1.0) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (real->posit16 1.0))))
149.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
134.0ms
(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1)))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
132.0ms
(/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (real->posit16 1.0)))
124.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
Rules
14776×p16-times-frac
10057×*p16-lft-identity-expand p16-*-un-lft-identity
8391×*p16-rgt-identity-expand
1841×distribute-lft-out p16-distribute-lft-out
1291×/p16-rgt-identity-expand
947×introduce-quire
834×distribute-rgt-out
776×+p16-lft-identity-expand +p16-rgt-identity-expand
756×associate-/r/
738×associate-/r*
632×-p16-rgt-identity-expand
591×associate-/l*
496×distribute-lft-out--
495×associate-*r*
410×associate-*l*
346×insert-quire-fdp-add
323×distribute-lft-in distribute-rgt-in
231×associate--l+
213×insert-quire-fdp-sub
204×distribute-lft1-in
201×distribute-rgt-out--
186×associate-*l/
183×associate-*r/
167×p16-flip--
151×associate-/l/ associate-+r+
142×associate-+l+
137×sub-neg
134×difference-of-squares
129×associate--r+
112×insert-quire-add
102×insert-quire-sub
90×associate-+l-
77×*-commutative
75×associate--r-
72×associate--l-
70×associate-+r-
66×+-commutative
19×difference-of-sqr-1
sqrt-sqrd.p16

series32.0ms (0.0%)

Calls

400 calls:

0.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.0ms
(*.p16 (+.p16 im im) re)
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0))

end1.0ms (0.0%)

bsearch1.0ms (0.0%)