Details

simplify15.0m (50.4%)

end8.5m (28.6%)

sample3.2m (10.7%)

Algorithm
69×halfpoints

prune2.1m (7.1%)

localize33.0s (1.8%)

regimes19.3s (1.1%)

Accuracy

Total 8.4b remaining (33.4%)

Threshold costs 8.4b (33.4%)

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

rewrite5.6s (0.3%)

Algorithm
123×rewrite-expression-head
Calls

400 calls:

265.0ms
(+.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))
139.0ms
(/.p16 (*.p16 (*.p16 (-.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
132.0ms
(/.p16 (+.p16 (real->posit16 1.0) (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta))) (real->posit16 2.0))
105.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
100.0ms
(/.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
21410×p16-times-frac
16189×*p16-lft-identity-expand p16-*-un-lft-identity
8954×*p16-rgt-identity-expand
3508×distribute-lft-out--
2479×distribute-lft-out p16-distribute-lft-out
1849×/p16-rgt-identity-expand
1341×distribute-rgt-out--
1261×associate-/r/
996×distribute-rgt-out
946×introduce-quire
870×+p16-lft-identity-expand +p16-rgt-identity-expand
628×-p16-rgt-identity-expand
614×associate-/r*
585×distribute-lft-in distribute-rgt-in
573×associate-/l*
377×associate--l+
343×associate-*l*
328×insert-quire-fdp-add
284×associate-*r*
217×insert-quire-fdp-sub
201×associate-*r/
184×associate-*l/
173×p16-flip--
148×associate-/l/
144×associate-+l+
142×associate-+r+
131×difference-of-squares associate--r+
123×sub-neg
100×insert-quire-sub
92×insert-quire-add
82×*-commutative
79×associate-+l- associate--r-
72×associate--l-
64×associate-+r- +-commutative
47×distribute-lft1-in
16×difference-of-sqr-1
12×distribute-rgt1-in
sqrt-sqrd.p16 remove-double-div.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 b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
0.0ms
(*.p16 (-.p16 re im) (+.p16 im re))
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))

bsearch1.0ms (0.0%)