Details

simplify5.7m (46.8%)

sample3.2m (26.6%)

Algorithm
69×halfpoints

prune2.2m (18.3%)

localize37.0s (5.1%)

regimes18.1s (2.5%)

Accuracy

Total 8.3b remaining (32.8%)

Threshold costs 8.3b (32.8%)

0.9b0%Octave 3.8, jcobi/4
0.4b0%quadp (p42, positive)
0.4b0%quadm (p42, negative)
0.4b0%quad2p (problem 3.2.1, positive)
0.4b0%Jmat.Real.dawson

rewrite5.9s (0.8%)

Algorithm
123×rewrite-expression-head
Calls

400 calls:

407.0ms
(+.p16 (+.p16 (real->posit16 3) d3) d2)
113.0ms
(/.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))))
108.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
105.0ms
(/.p16 (/.p16 (+.p16 (*.p16 beta alpha) (*.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)))
104.0ms
(/.p16 (+.p16 beta alpha) (+.p16 (+.p16 (+.p16 (*.p16 i (real->posit16 2)) (real->posit16 2.0)) alpha) beta))
Rules
14779×p16-times-frac
10061×*p16-lft-identity-expand p16-*-un-lft-identity
8395×*p16-rgt-identity-expand
1842×distribute-lft-out p16-distribute-lft-out
1297×/p16-rgt-identity-expand
945×introduce-quire
832×distribute-rgt-out
757×associate-/r/
754×+p16-lft-identity-expand +p16-rgt-identity-expand
741×associate-/r*
630×-p16-rgt-identity-expand
592×associate-/l*
534×associate-*r*
496×distribute-lft-out--
377×associate-*l*
345×insert-quire-fdp-add
293×distribute-lft-in distribute-rgt-in
231×associate--l+
213×insert-quire-fdp-sub
204×distribute-lft1-in
201×distribute-rgt-out--
198×associate-*l/
176×associate-*r/
168×p16-flip--
155×associate-/l/
139×associate-+r+
134×difference-of-squares
129×associate--r+
128×associate-+l+
125×sub-neg
111×insert-quire-add
102×insert-quire-sub
89×associate-+l-
77×*-commutative
75×associate--r-
72×associate--l-
69×associate-+r-
65×+-commutative
19×difference-of-sqr-1
sqrt-sqrd.p16

series29.0ms (0.0%)

Calls

400 calls:

0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 c a))) b_2)
0.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.0ms
(/.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)))
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))

bsearch1.0ms (0.0%)

end1.0ms (0.0%)