Details

simplify7.2m (61.0%)

sample3.0m (25.2%)

Algorithm
68×halfpoints
Results

prune48.4s (6.8%)

localize30.7s (4.3%)

regimes14.3s (2.0%)

Accuracy

Total 8.2b remaining (33.5%)

Threshold costs 8.2b (33.5%)

0.9b0%Octave 3.8, jcobi/4
0.6b0%2frac (problem 3.3.1)
0.5b68.6%quad2p (problem 3.2.1, positive)
0.4b0%quad2m (problem 3.2.1, negative)
0.4b0%Jmat.Real.dawson

rewrite4.4s (0.6%)

Algorithm
112×rewrite-expression-head
Calls

377 calls:

Slowest
430.0ms
(/.p16 (-.p16 (*.p16 (*.p16 b_2 b_2) (*.p16 b_2 b_2)) (*.p16 (*.p16 a c) (*.p16 a c))) (+.p16 (*.p16 b_2 b_2) (*.p16 a c)))
126.0ms
(/.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))
102.0ms
(+.p16 (/.p16 (*.p16 (/.p16 (-.p16 beta alpha) (+.p16 (*.p16 (real->posit16 2) i) (+.p16 beta alpha))) (+.p16 beta alpha)) (+.p16 (+.p16 (real->posit16 2.0) (+.p16 beta alpha)) (*.p16 (real->posit16 2) i))) (real->posit16 1.0))
97.0ms
(/.p16 (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 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
157×p16-flip--
105×sub-neg
85×+-commutative
82×*-commutative
66×associate-/l/
58×distribute-lft-in distribute-rgt-in
36×associate-*l/
33×associate-*r/
32×difference-of-squares associate-/l*
25×associate-/r/
24×associate-+l+
22×associate--l+
19×associate-*l*
16×distribute-lft-out associate-*r* p16-distribute-lft-out associate-+r+
14×associate-/r*
p16-times-frac
difference-of-sqr-1
associate-+r- associate--r+
distribute-rgt-out
associate--l- associate-+l-

bsearch132.0ms (0.0%)

series27.0ms (0.0%)

Calls

377 calls:

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

end2.0ms (0.0%)