Details

simplify16.6m (72.1%)

sample3.3m (14.2%)

Algorithm
69×halfpoints

prune2.2m (9.5%)

localize32.7s (2.4%)

regimes18.5s (1.3%)

Accuracy

Total 8.4b remaining (33.3%)

Threshold costs 8.4b (33.3%)

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%quadm (p42, negative)

rewrite5.8s (0.4%)

Algorithm
123×rewrite-expression-head
Calls

400 calls:

309.0ms
(-.p16 (+.p16 (/.p16 (real->posit16 1) (+.p16 x (real->posit16 1))) (/.p16 (real->posit16 1) (-.p16 x (real->posit16 1)))) (/.p16 (real->posit16 2) x))
246.0ms
(+.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))
168.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta)) (real->posit16 1.0)) (real->posit16 2.0))
106.0ms
(/.p16 (*.p16 (*.p16 (/.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)) b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
97.0ms
(/.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
13080×p16-times-frac
10509×*p16-lft-identity-expand p16-*-un-lft-identity
6296×*p16-rgt-identity-expand
2000×distribute-lft-out--
1664×distribute-lft-out p16-distribute-lft-out
1542×/p16-rgt-identity-expand
945×associate-/r/
924×introduce-quire
764×distribute-rgt-out--
746×+p16-lft-identity-expand +p16-rgt-identity-expand
699×distribute-rgt-out
625×-p16-rgt-identity-expand
574×associate-/l*
548×associate-/r*
492×associate-*l*
413×associate-*r*
291×insert-quire-fdp-add
277×associate-*l/
243×distribute-lft-in distribute-rgt-in
228×insert-quire-fdp-sub
211×associate--l+
188×associate-*r/
180×p16-flip--
152×associate-+r+ associate-/l/
144×associate-+l+
126×associate--r+
116×sub-neg
103×insert-quire-sub
92×insert-quire-add
82×*-commutative
78×difference-of-squares associate-+l-
73×associate--l-
71×associate--r-
67×associate-+r- distribute-lft1-in
63×+-commutative
19×difference-of-sqr-1
sqrt-sqrd.p16 remove-double-div.p16

series30.0ms (0.0%)

Calls

400 calls:

0.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)
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_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))

end1.0ms (0.0%)

bsearch1.0ms (0.0%)