Details

prune10.1m (46.5%)

simplify7.2m (33.2%)

sample3.4m (15.7%)

Algorithm
69×halfpoints

localize35.7s (2.7%)

regimes18.5s (1.4%)

Accuracy

Total 8.7b remaining (33.7%)

Threshold costs 8.7b (33.7%)

0.9b0%Octave 3.8, jcobi/4
0.5b0%quadm (p42, negative)
0.5b0%math.sqrt on complex, imaginary part, im greater than 0 branch
0.4b0%quad2p (problem 3.2.1, positive)
0.4b0%Octave 3.8, jcobi/4, as called

rewrite6.7s (0.5%)

Algorithm
123×rewrite-expression-head
Calls

399 calls:

381.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 (*.p16 (real->posit16 1) (real->posit16 2)) alpha) beta))
319.0ms
(+.p16 (/.p16 (/.p16 (*.p16 (+.p16 alpha beta) (-.p16 beta alpha)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
152.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
130.0ms
(/.p16 (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 (*.p16 (real->posit16 1) (real->posit16 2)) alpha) beta)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
124.0ms
(/.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))))
Rules
5887×p16-times-frac
5508×*p16-lft-identity-expand p16-*-un-lft-identity
4180×*p16-rgt-identity-expand
1076×/p16-rgt-identity-expand
1002×distribute-lft-out p16-distribute-lft-out
886×introduce-quire
769×+p16-lft-identity-expand +p16-rgt-identity-expand
635×-p16-rgt-identity-expand
612×associate-*r*
574×associate-/l*
548×associate-/r*
527×associate-/r/
478×associate-*l*
444×distribute-lft-out--
419×distribute-rgt-out
290×insert-quire-fdp-add
282×distribute-lft-in distribute-rgt-in
216×associate-*l/
189×associate--l+
188×associate-*r/ distribute-rgt-out--
159×associate-+l+
158×p16-flip--
153×insert-quire-fdp-sub
146×difference-of-squares
145×associate-/l/
142×associate-+r+
131×associate--r+
124×sub-neg
93×*-commutative
89×insert-quire-add
84×associate-+l-
77×associate-+r-
76×associate--r-
75×insert-quire-sub
71×+-commutative
70×distribute-lft1-in
60×associate--l-
22×difference-of-sqr-1
remove-double-div.p16

series45.0ms (0.0%)

Calls

399 calls:

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

bsearch1.0ms (0.0%)

end0.0ms (0.0%)