Details

simplify22.2m (63.6%)

end6.2m (17.7%)

sample3.3m (9.5%)

Algorithm
69×halfpoints

prune2.2m (6.3%)

localize33.9s (1.6%)

regimes17.2s (0.8%)

Accuracy

Total 8.4b remaining (33.5%)

Threshold costs 8.4b (33.5%)

0.9b0%Octave 3.8, jcobi/4
0.5b0%quadm (p42, negative)
0.5b0%Jmat.Real.dawson
0.4b0%quad2m (problem 3.2.1, negative)
0.4b0%quadp (p42, positive)

rewrite9.0s (0.4%)

Algorithm
122×rewrite-expression-head
Calls

398 calls:

554.0ms
(/.p16 (-.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))) (+.p16 (/.p16 (real->posit16 1) (sqrt.p16 x)) (/.p16 (real->posit16 1) (sqrt.p16 (+.p16 (real->posit16 1) x)))))
437.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (/.p16 (+.p16 (*.p16 i (real->posit16 2)) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha))) (real->posit16 1.0))
233.0ms
(+.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))
184.0ms
(/.p16 (+.p16 (/.p16 (-.p16 beta alpha) (+.p16 (+.p16 alpha beta) (real->posit16 2.0))) (real->posit16 1.0)) (real->posit16 2.0))
144.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (/.p16 (+.p16 (*.p16 i (real->posit16 2)) (+.p16 (+.p16 beta alpha) (real->posit16 2.0))) (-.p16 beta alpha)))
Rules
14727×p16-times-frac
11399×*p16-lft-identity-expand p16-*-un-lft-identity
7138×*p16-rgt-identity-expand
1960×distribute-lft-out--
1855×distribute-lft-out p16-distribute-lft-out
1440×/p16-rgt-identity-expand
946×introduce-quire
913×associate-/r/
816×+p16-lft-identity-expand +p16-rgt-identity-expand
784×distribute-rgt-out
750×distribute-rgt-out--
667×associate-*l*
644×-p16-rgt-identity-expand
589×associate-/l*
580×associate-/r*
389×distribute-lft-in distribute-rgt-in
384×associate-*r*
337×insert-quire-fdp-add
272×associate--l+
207×insert-quire-fdp-sub
178×p16-flip--
168×associate-*r/
161×associate-+r+
160×associate-+l+
149×difference-of-squares
143×associate-*l/
136×associate-/l/
121×associate--r+
108×sub-neg
95×insert-quire-add
94×insert-quire-sub
93×associate-+r-
91×distribute-lft1-in
86×associate-+l-
84×*-commutative
76×+-commutative
74×associate--r-
66×associate--l-
22×difference-of-sqr-1
distribute-rgt1-in

series31.0ms (0.0%)

Calls

398 calls:

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

bsearch1.0ms (0.0%)