Details

simplify5.7m (43.9%)

sample3.6m (27.7%)

Algorithm
69×halfpoints

prune2.5m (19.6%)

localize40.8s (5.2%)

regimes19.9s (2.6%)

Accuracy

Total 8.8b remaining (34.1%)

Threshold costs 8.8b (34.1%)

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

rewrite8.2s (1.1%)

Algorithm
122×rewrite-expression-head
Calls

404 calls:

491.0ms
(+.p16 (-.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 2) x)) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1))))
332.0ms
(+.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))
163.0ms
(/.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))))
150.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
135.0ms
(/.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)))
Rules
33671×p16-times-frac
22830×*p16-lft-identity-expand p16-*-un-lft-identity
14796×*p16-rgt-identity-expand
3709×distribute-lft-out p16-distribute-lft-out
3412×distribute-lft-out--
2642×associate-*r*
2157×/p16-rgt-identity-expand
1670×associate-/r/
1535×distribute-rgt-out
1296×distribute-rgt-out--
1031×associate-/r*
955×introduce-quire
810×+p16-lft-identity-expand +p16-rgt-identity-expand
656×associate-/l*
641×-p16-rgt-identity-expand
589×associate-*l*
358×distribute-lft-in distribute-rgt-in
339×insert-quire-fdp-add
246×associate-*l/
222×associate-*r/
215×insert-quire-fdp-sub
205×distribute-lft1-in
193×associate--l+
183×p16-flip--
174×difference-of-squares
158×associate-/l/
148×associate--r+
139×associate-+l+
135×associate-+r+
112×sub-neg
96×insert-quire-sub
95×insert-quire-add
86×*-commutative
84×associate-+l-
73×associate--r-
71×associate-+r-
69×+-commutative
67×associate--l-
22×difference-of-sqr-1
sqrt-sqrd.p16 remove-double-div.p16

series32.0ms (0.0%)

Calls

404 calls:

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

end1.0ms (0.0%)

bsearch1.0ms (0.0%)