Details

simplify35.8m (84.9%)

sample3.3m (7.8%)

Algorithm
67×halfpoints

prune2.1m (5.0%)

localize34.1s (1.3%)

regimes16.7s (0.7%)

Accuracy

Total 7.9b remaining (31.7%)

Threshold costs 7.9b (31.7%)

1.0b0%Octave 3.8, jcobi/4
0.5b0%quad2p (problem 3.2.1, positive)
0.5b0%quadp (p42, positive)
0.4b0%math.sqrt on complex, imaginary part, im greater than 0 branch
0.4b0%quadm (p42, negative)

rewrite5.2s (0.2%)

Algorithm
122×rewrite-expression-head
Calls

400 calls:

162.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta)) (real->posit16 1.0)) (real->posit16 2.0))
134.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
111.0ms
(/.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))))
106.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
105.0ms
(/.p16 (quire16->posit16 (quire16-mul-sub (posit16->quire16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)))) b b)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) b))
Rules
4579×p16-times-frac
4323×*p16-lft-identity-expand p16-*-un-lft-identity
3746×*p16-rgt-identity-expand
1058×/p16-rgt-identity-expand
827×introduce-quire
796×+p16-lft-identity-expand +p16-rgt-identity-expand
660×distribute-lft-out p16-distribute-lft-out
614×-p16-rgt-identity-expand
573×associate-/l*
513×associate-/r/
506×associate-/r*
492×distribute-lft-out--
438×associate-*l*
392×distribute-lft-in distribute-rgt-in
331×distribute-rgt-out
325×associate-*r*
274×associate--l+
236×insert-quire-fdp-add
218×distribute-rgt-out--
177×associate-*r/
163×associate-*l/ p16-flip--
157×insert-quire-fdp-sub
155×associate--r+
148×associate-+l+
142×associate-/l/
118×associate-+r+
110×difference-of-squares
99×sub-neg
89×insert-quire-add
85×associate-+l- associate-+r-
81×distribute-lft1-in
80×insert-quire-sub *-commutative
64×associate--l- associate--r-
63×+-commutative
26×difference-of-sqr-1
sqrt-sqrd.p16 distribute-rgt1-in
remove-double-div.p16

series28.0ms (0.0%)

Calls

400 calls:

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

end1.0ms (0.0%)

bsearch1.0ms (0.0%)