Details

simplify5.2m (44.8%)

sample3.3m (28.0%)

Algorithm
69×halfpoints

prune2.2m (18.8%)

localize35.1s (5.0%)

regimes17.8s (2.6%)

Accuracy

Total 8.3b remaining (32.7%)

Threshold costs 8.3b (32.7%)

0.9b0%Octave 3.8, jcobi/4
0.5b0%quadm (p42, negative)
0.5b0%quadp (p42, positive)
0.4b0%quad2m (problem 3.2.1, negative)
0.4b0%_divideComplex, imaginary part

rewrite5.8s (0.8%)

Algorithm
123×rewrite-expression-head
Calls

402 calls:

161.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 alpha (+.p16 beta (*.p16 i (real->posit16 2)))) (*.p16 (real->posit16 0.0) i))))
148.0ms
(/.p16 (*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (-.p16 beta alpha)) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 alpha (+.p16 beta (*.p16 i (real->posit16 2)))) (*.p16 (real->posit16 0.0) i))))
106.0ms
(/.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)))
99.0ms
(*.p16 (/.p16 (+.p16 beta alpha) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))) (/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 alpha (+.p16 beta (*.p16 i (real->posit16 2)))) (*.p16 (real->posit16 0.0) i)))))
93.0ms
(/.p16 (-.p16 beta alpha) (+.p16 (real->posit16 2.0) (+.p16 (+.p16 beta alpha) (*.p16 i (real->posit16 2)))))
Rules
14030×p16-times-frac
11363×*p16-lft-identity-expand p16-*-un-lft-identity
6702×*p16-rgt-identity-expand
2084×distribute-lft-out--
1904×distribute-lft-out p16-distribute-lft-out
1432×/p16-rgt-identity-expand
935×associate-/r/ introduce-quire
805×distribute-rgt-out--
772×+p16-lft-identity-expand +p16-rgt-identity-expand
722×distribute-rgt-out
616×associate-/r* -p16-rgt-identity-expand
590×associate-*l*
559×associate-/l*
444×associate-*r*
340×distribute-lft-in distribute-rgt-in
330×insert-quire-fdp-add
210×insert-quire-fdp-sub
191×associate--l+
190×associate-*l/
171×associate-*r/
157×associate-+r+
153×p16-flip--
146×associate-+l+
140×associate--r+ associate-/l/
137×difference-of-squares
113×sub-neg
96×insert-quire-sub
94×insert-quire-add
81×associate-+l-
78×*-commutative
71×associate--r-
70×associate-+r-
67×associate--l-
66×+-commutative
46×distribute-lft1-in
22×difference-of-sqr-1

series41.0ms (0.0%)

Calls

402 calls:

0.0ms
(*.p16 (+.p16 im im) re)
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 (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))))

bsearch1.0ms (0.0%)

end1.0ms (0.0%)