Details

prune10.4m (48.7%)

simplify6.5m (30.4%)

sample3.5m (16.1%)

Algorithm
69×halfpoints

localize36.2s (2.8%)

regimes19.6s (1.5%)

Accuracy

Total 8.6b remaining (33.4%)

Threshold costs 8.6b (33.4%)

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

rewrite6.3s (0.5%)

Algorithm
123×rewrite-expression-head
Calls

399 calls:

337.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2))) (real->posit16 2.0)))
226.0ms
(+.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))
151.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
142.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
138.0ms
(/.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
5908×p16-times-frac
5547×*p16-lft-identity-expand p16-*-un-lft-identity
4203×*p16-rgt-identity-expand
1086×/p16-rgt-identity-expand
1013×distribute-lft-out p16-distribute-lft-out
889×introduce-quire
759×+p16-lft-identity-expand +p16-rgt-identity-expand
638×associate-*r*
623×-p16-rgt-identity-expand
578×associate-/l*
554×associate-/r*
530×associate-/r/
472×associate-*l*
452×distribute-lft-out--
418×distribute-rgt-out
288×insert-quire-fdp-add
268×distribute-lft-in distribute-rgt-in
231×associate-*l/
209×associate--l+
190×distribute-rgt-out--
183×associate-*r/
157×p16-flip--
156×insert-quire-fdp-sub
153×associate-+l+
151×associate-/l/
146×difference-of-squares
134×associate-+r+
127×associate--r+
114×sub-neg
93×*-commutative
90×insert-quire-add
84×associate-+l-
76×insert-quire-sub
72×associate-+r-
71×+-commutative
70×distribute-lft1-in
66×associate--r-
61×associate--l-
22×difference-of-sqr-1
remove-double-div.p16

series30.0ms (0.0%)

Calls

399 calls:

1.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.0ms
(/.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))))
0.0ms
(*.p16 (+.p16 im 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%)

end1.0ms (0.0%)