Details

sample2.9m

Algorithm
68×halfpoints
Results

simplify2.2m

prune46.1s

localize30.2s

regimes14.6s

Accuracy

Total -1835.8b remaining (-7589%)

Threshold costs -1835.8b (-7589%)

-60.6b-∞%Jmat.Real.dawson
-62.3b-∞%quad2p (problem 3.2.1, positive)
-62.5b-∞%quadm (p42, negative)
-62.5b-∞%quadp (p42, positive)
-62.5b-∞%Octave 3.8, jcobi/4

rewrite4.5s

Algorithm
112×rewrite-expression-head
Calls

377 calls:

Slowest
131.0ms
(+.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))
119.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
114.0ms
(/.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))))
113.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 2.0)) (-.p16 beta alpha))
111.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
Rules
169×p16-flip--
130×sub-neg
85×+-commutative
83×*-commutative
56×associate-/l/
53×distribute-lft-in distribute-rgt-in
44×associate-/r/
38×associate-*l/
37×associate-*r/
29×difference-of-squares
28×associate--l+
27×associate-/l*
26×associate-+l+
23×associate-*l*
22×associate-+r+
18×associate-/r*
17×associate-*r*
15×distribute-lft-out p16-distribute-lft-out
p16-times-frac
difference-of-sqr-1 associate-+r-
associate--r+
distribute-rgt-out
associate--l- associate-+l-

bsearch130.0ms

series27.0ms

Calls

377 calls:

Slowest
1.0ms
(/.p16 (-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b) (*.p16 (real->posit16 2) a))
0.0ms
(*.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 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
0.0ms
(-.p16 (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (*.p16 c a) (real->posit16 4)))) b)

end1.0ms