Details

simplify5.4m (45.8%)

sample3.3m (27.9%)

Algorithm
69×halfpoints

prune2.1m (18.0%)

localize34.1s (4.8%)

regimes18.1s (2.6%)

Accuracy

Total 8.4b remaining (32.8%)

Threshold costs 8.4b (32.8%)

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

rewrite6.8s (1.0%)

Algorithm
123×rewrite-expression-head
Calls

402 calls:

493.0ms
(-.p16 (/.p16 (+.p16 (+.p16 c b) a) (real->posit16 2)) c)
447.0ms
(*.p16 (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) (/.p16 (real->posit16 1.0) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x))) (/.p16 (real->posit16 1) (sqrt.p16 x)))))
331.0ms
(+.p16 (/.p16 (real->posit16 1) x) (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))))
144.0ms
(/.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))))
125.0ms
(/.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
14007×p16-times-frac
11302×*p16-lft-identity-expand p16-*-un-lft-identity
6673×*p16-rgt-identity-expand
2064×distribute-lft-out--
1899×distribute-lft-out p16-distribute-lft-out
1438×/p16-rgt-identity-expand
937×associate-/r/
931×introduce-quire
800×distribute-rgt-out--
784×+p16-lft-identity-expand +p16-rgt-identity-expand
707×distribute-rgt-out
610×-p16-rgt-identity-expand
605×associate-/r*
558×associate-/l*
541×associate-*r*
488×associate-*l*
350×distribute-lft-in distribute-rgt-in
329×insert-quire-fdp-add
208×insert-quire-fdp-sub
191×associate-*l/ associate--l+
177×associate-*r/
157×associate-+r+
154×p16-flip--
148×associate-+l+
143×associate-/l/
142×associate--r+
138×difference-of-squares
117×sub-neg
96×insert-quire-sub
93×insert-quire-add
80×associate-+l-
79×*-commutative
69×associate-+r-
67×associate--l- associate--r-
65×+-commutative
46×distribute-lft1-in
22×difference-of-sqr-1
sqrt-sqrd.p16

series30.0ms (0.0%)

Calls

402 calls:

0.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
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 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

bsearch1.0ms (0.0%)

end1.0ms (0.0%)