Details

simplify11.5m (63.6%)

sample3.3m (18.2%)

Algorithm
69×halfpoints

prune2.3m (12.7%)

localize34.8s (3.2%)

regimes18.0s (1.7%)

Accuracy

Total 8.8b remaining (34.2%)

Threshold costs 7.6b (29.7%)

1.1b0%Octave 3.8, jcobi/4
0.5b0%_divideComplex, imaginary part
0.5b0%quadm (p42, negative)
0.5b0%math.sqrt on complex, imaginary part, im greater than 0 branch
0.5b0%quadp (p42, positive)

rewrite6.0s (0.6%)

Algorithm
122×rewrite-expression-head
Calls

400 calls:

269.0ms
(/.p16 (/.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)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
146.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
140.0ms
(/.p16 (+.p16 (+.p16 (real->posit16 1.0) (+.p16 alpha beta)) (*.p16 (real->posit16 1) (real->posit16 2))) (+.p16 alpha (+.p16 (+.p16 (*.p16 alpha beta) beta) (real->posit16 1.0))))
134.0ms
(/.p16 (/.p16 (/.p16 (+.p16 (quire16->posit16 (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) 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)))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))) (real->posit16 1.0)))
112.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
Rules
26178×p16-times-frac
18396×*p16-lft-identity-expand p16-*-un-lft-identity
15894×*p16-rgt-identity-expand
5240×distribute-lft-out p16-distribute-lft-out
2528×distribute-rgt-out
1222×/p16-rgt-identity-expand
907×associate-/l*
860×introduce-quire
790×distribute-lft1-in
758×+p16-lft-identity-expand +p16-rgt-identity-expand
699×associate-*r*
692×associate-/r/
623×-p16-rgt-identity-expand
540×associate-*l*
493×associate-/r*
284×distribute-lft-out--
272×distribute-lft-in distribute-rgt-in
249×insert-quire-fdp-add
212×associate--l+
209×associate-*l/
207×insert-quire-fdp-sub
187×associate-*r/
182×p16-flip--
153×associate-/l/
151×associate--r+
121×difference-of-squares
119×sub-neg
116×associate-+l+
115×associate-+r+
102×insert-quire-sub
101×distribute-rgt-out--
83×*-commutative
79×insert-quire-add
77×associate-+r-
73×associate-+l- associate--l-
72×associate--r-
61×+-commutative
28×difference-of-sqr-1
sqrt-sqrd.p16
remove-double-div.p16

series30.0ms (0.0%)

Calls

400 calls:

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

end1.0ms (0.0%)

bsearch1.0ms (0.0%)