Details

simplify36.2m (85.3%)

sample3.3m (7.7%)

Algorithm
67×halfpoints

prune2.1m (4.9%)

localize32.8s (1.3%)

regimes16.9s (0.7%)

Accuracy

Total 7.9b remaining (31.9%)

Threshold costs 7.9b (31.9%)

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)

rewrite5.0s (0.2%)

Algorithm
122×rewrite-expression-head
Calls

400 calls:

159.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 (real->posit16 2.0) alpha) beta)) (real->posit16 1.0)) (real->posit16 2.0))
122.0ms
(/.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))))
109.0ms
(/.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)))
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))
92.0ms
(/.p16 (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 c c)) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) c))
Rules
4311×p16-times-frac
4169×*p16-lft-identity-expand p16-*-un-lft-identity
3596×*p16-rgt-identity-expand
1048×/p16-rgt-identity-expand
816×introduce-quire
807×+p16-lft-identity-expand +p16-rgt-identity-expand
607×-p16-rgt-identity-expand
605×distribute-lft-out p16-distribute-lft-out
541×associate-/l*
517×associate-/r*
512×associate-/r/
492×distribute-lft-out--
431×distribute-lft-in distribute-rgt-in
430×associate-*l*
337×associate-*r*
310×distribute-rgt-out
268×associate--l+
233×insert-quire-fdp-add
218×distribute-rgt-out--
183×associate-*r/
163×p16-flip--
156×insert-quire-fdp-sub
153×associate-+l+
151×associate-*l/ associate--r+
140×associate-/l/
137×associate-+r+
119×sub-neg
109×difference-of-squares
83×insert-quire-add
80×associate-+l-
79×associate-+r- insert-quire-sub *-commutative
73×distribute-lft1-in
68×associate--r-
63×associate--l-
61×+-commutative
26×difference-of-sqr-1
distribute-rgt1-in
sqrt-sqrd.p16 remove-double-div.p16

series30.0ms (0.0%)

Calls

400 calls:

1.0ms
(*.p16 (+.p16 im im) re)
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 (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%)