Details

prune12.1m (52.3%)

simplify6.7m (28.9%)

sample3.4m (14.6%)

Algorithm
69×halfpoints

localize35.3s (2.5%)

regimes18.4s (1.3%)

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

rewrite5.2s (0.4%)

Algorithm
123×rewrite-expression-head
Calls

400 calls:

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))))
112.0ms
(/.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)))
110.0ms
(/.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))))
101.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
95.0ms
(/.p16 (/.p16 (*.p16 i (+.p16 (+.p16 alpha beta) i)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
Rules
14779×p16-times-frac
10061×*p16-lft-identity-expand p16-*-un-lft-identity
8395×*p16-rgt-identity-expand
1840×distribute-lft-out p16-distribute-lft-out
1297×/p16-rgt-identity-expand
945×introduce-quire
834×distribute-rgt-out
757×associate-/r/
750×+p16-lft-identity-expand associate-/r* +p16-rgt-identity-expand
630×-p16-rgt-identity-expand
583×associate-/l*
496×distribute-lft-out--
491×associate-*r*
420×associate-*l*
345×insert-quire-fdp-add
270×distribute-lft-in distribute-rgt-in
231×associate--l+
213×insert-quire-fdp-sub
204×distribute-lft1-in
201×distribute-rgt-out--
199×associate-*l/
175×associate-*r/
168×p16-flip--
155×associate-/l/
145×associate-+r+
137×sub-neg
134×associate-+l+ difference-of-squares
129×associate--r+
111×insert-quire-add
102×insert-quire-sub
89×associate-+l-
77×*-commutative
75×associate--r-
72×associate--l-
69×associate-+r-
65×+-commutative
19×difference-of-sqr-1
sqrt-sqrd.p16

series30.0ms (0.0%)

Calls

400 calls:

1.0ms
(/.p16 (-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c))))) (*.p16 (real->posit16 2) a))
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(*.p16 (-.p16 re im) (+.p16 im re))
0.0ms
(*.p16 (+.p16 im im) re)
0.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))

bsearch1.0ms (0.0%)

end1.0ms (0.0%)