Details

simplify39.0m (86.1%)

sample3.3m (7.3%)

Algorithm
67×halfpoints

prune2.1m (4.6%)

localize33.2s (1.2%)

regimes17.2s (0.6%)

Accuracy

Total 8.2b remaining (32.6%)

Threshold costs 8.2b (32.6%)

0.9b0%Octave 3.8, jcobi/4
0.5b0%quadp (p42, positive)
0.5b0%Jmat.Real.dawson
0.4b0%quadm (p42, negative)
0.4b0%math.sqrt on complex, imaginary part, im greater than 0 branch

rewrite5.7s (0.2%)

Algorithm
123×rewrite-expression-head
Calls

400 calls:

484.0ms
(/.p16 (-.p16 (sqrt.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 b b)) c (*.p16 a (real->posit16 4))))) b) a)
221.0ms
(+.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))
142.0ms
(/.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)))
110.0ms
(/.p16 (*.p16 (/.p16 i (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 alpha (+.p16 beta i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
106.0ms
(/.p16 (*.p16 (/.p16 i (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 alpha (+.p16 beta i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
Rules
4762×p16-times-frac
4608×*p16-lft-identity-expand p16-*-un-lft-identity
3600×*p16-rgt-identity-expand
1078×/p16-rgt-identity-expand
955×introduce-quire
845×+p16-lft-identity-expand +p16-rgt-identity-expand
742×distribute-lft-out p16-distribute-lft-out
628×-p16-rgt-identity-expand
572×associate-/r*
529×distribute-lft-in distribute-rgt-in
513×associate-/r/
510×distribute-lft-out--
459×associate-/l*
376×associate-*l*
352×associate--l+
343×associate-*r*
339×insert-quire-fdp-add
322×distribute-rgt-out
216×insert-quire-fdp-sub
209×distribute-rgt-out--
200×associate-*r/
177×p16-flip--
172×associate-*l/
159×difference-of-squares
154×associate-/l/
142×associate-+l+
138×associate-+r+
122×associate--r+
102×sub-neg
98×insert-quire-add
97×insert-quire-sub
86×*-commutative
81×associate-+l-
71×associate--r-
70×associate-+r-
69×associate--l-
67×+-commutative
53×distribute-lft1-in
23×difference-of-sqr-1
remove-double-div.p16
sqrt-sqrd.p16

series28.0ms (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 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
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 (-.p16 re im) (+.p16 im re))

end1.0ms (0.0%)

bsearch1.0ms (0.0%)