Details

sample3.2m (36.4%)

Algorithm
69×halfpoints

simplify2.4m (26.9%)

prune2.2m (25.1%)

localize34.4s (6.5%)

regimes20.3s (3.8%)

Accuracy

Total 8.7b remaining (33.9%)

Threshold costs 8.7b (33.9%)

0.9b0%Octave 3.8, jcobi/4
0.5b0%_divideComplex, imaginary part
0.5b0%quadm (p42, negative)
0.5b0%quad2p (problem 3.2.1, positive)
0.5b0%math.sqrt on complex, imaginary part, im greater than 0 branch

rewrite6.7s (1.3%)

Algorithm
123×rewrite-expression-head
Calls

400 calls:

448.0ms
(/.p16 (quire16->posit16 (quire16-mul-add (quire16-mul-add (posit16->quire16 (+.p16 alpha beta)) beta alpha) (real->posit16 1.0) (real->posit16 1.0))) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
349.0ms
(+.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 i (real->posit16 1.0)) (/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)) (/.p16 (+.p16 (+.p16 alpha beta) i) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)))))
148.0ms
(+.p16 (/.p16 (*.p16 (+.p16 beta alpha) (/.p16 (-.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))
136.0ms
(/.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)))
Rules
10599×p16-times-frac
7733×*p16-lft-identity-expand p16-*-un-lft-identity
6602×*p16-rgt-identity-expand
1718×/p16-rgt-identity-expand
1465×distribute-lft-out p16-distribute-lft-out
1218×associate-/r/
975×associate-/r*
927×introduce-quire
706×+p16-lft-identity-expand +p16-rgt-identity-expand
658×distribute-rgt-out
616×-p16-rgt-identity-expand
581×associate-/l*
460×distribute-lft-out--
392×associate-*l*
333×insert-quire-fdp-add
306×associate-*r*
218×associate-*l/
206×distribute-lft-in distribute-rgt-in
203×insert-quire-fdp-sub
189×distribute-rgt-out--
172×associate-*r/
171×distribute-lft1-in
170×p16-flip--
167×associate--l+
150×associate-/l/
149×associate-+l+
140×associate-+r+
136×associate--r+
108×sub-neg
100×insert-quire-add
95×insert-quire-sub
88×difference-of-squares
84×associate-+l-
79×*-commutative
74×associate--r-
67×associate--l-
63×associate-+r- +-commutative
22×difference-of-sqr-1
sqrt-sqrd.p16

series29.0ms (0.0%)

Calls

400 calls:

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 (sqrt.p16 (+.p16 x (real->posit16 1))) (sqrt.p16 x))
0.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
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%)