Details

simplify7.7m

sample3.0m

Algorithm
68×halfpoints
Results

prune47.3s

localize29.7s

regimes13.4s

Accuracy

Total -1836.1b remaining (-7702%)

Threshold costs -1836.1b (-7702%)

-60.6b-∞%Jmat.Real.dawson
-62.3b-∞%quad2m (problem 3.2.1, negative)
-62.4b-∞%quadm (p42, negative)
-62.5b-∞%quadp (p42, positive)
-62.5b-∞%Octave 3.8, jcobi/4

rewrite4.5s

Algorithm
112×rewrite-expression-head
Calls

375 calls:

Slowest
225.0ms
(+.p16 (/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0))) (real->posit16 1.0))
127.0ms
(/.p16 (/.p16 (+.p16 alpha beta) (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (-.p16 beta alpha))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)))
120.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
96.0ms
(/.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (-.p16 (*.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2))) (*.p16 a a))) (+.p16 (/.p16 (+.p16 (+.p16 a b) c) (real->posit16 2)) a))
94.0ms
(/.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))
Rules
160×p16-flip--
116×sub-neg
84×+-commutative
81×*-commutative
56×associate-/l/
54×distribute-lft-in distribute-rgt-in
41×associate-/r/
30×associate-*r/
29×difference-of-squares
28×associate-*l/ associate-/l*
26×associate-+r+
25×associate-+l+
22×associate-*l*
19×distribute-lft-out associate-/r* p16-distribute-lft-out
18×associate--l+
12×associate-*r*
p16-times-frac
difference-of-sqr-1 associate-+r- associate--r+
distribute-rgt-out
associate-+l-
associate--l-

bsearch134.0ms

series27.0ms

Calls

375 calls:

Slowest
0.0ms
(*.p16 (-.p16 re im) (+.p16 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 (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)

end1.0ms