Details

simplify7.4m (61.7%)

sample3.0m (25.0%)

Algorithm
68×halfpoints
Results

prune47.8s (6.7%)

localize30.9s (4.3%)

regimes12.7s (1.8%)

Accuracy

Total -1833.6b remaining (-6966.9%)

Threshold costs -1833.6b (-6966.9%)

-60.7b-∞%Jmat.Real.dawson
-62.0b-∞%math.sqrt on complex, imaginary part, im greater than 0 branch
-62.0b-∞%quad2m (problem 3.2.1, negative)
-62.3b-∞%quad2p (problem 3.2.1, positive)
-62.4b-∞%quadm (p42, negative)

rewrite4.2s (0.6%)

Algorithm
112×rewrite-expression-head
Calls

377 calls:

Slowest
146.0ms
(/.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))
108.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) i))
79.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
79.0ms
(/.p16 (/.p16 i (/.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (+.p16 (+.p16 alpha beta) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
69.0ms
(+.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))
Rules
155×p16-flip--
103×sub-neg
90×+-commutative
77×*-commutative
63×associate-/l/
38×distribute-lft-in distribute-rgt-in
33×associate-*l/
30×associate-*r/ associate-/l*
26×associate-/r/
25×difference-of-squares
22×associate-*l*
20×associate-+l+
19×associate-+r+ associate--l+
18×distribute-lft-out p16-distribute-lft-out
13×associate-/r* associate-*r*
p16-times-frac
difference-of-sqr-1 associate-+r- distribute-rgt-out
associate--l- associate-+l-
unsub-neg associate--r+

bsearch118.0ms (0.0%)

series26.0ms (0.0%)

Calls

377 calls:

Slowest
0.0ms
(/.p16 (real->posit16 1) (*.p16 (+.p16 x (real->posit16 1)) (-.p16 x (real->posit16 1))))
0.0ms
(-.p16 (neg.p16 b_2) (sqrt.p16 (-.p16 (*.p16 b_2 b_2) (*.p16 a c))))
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 (-.p16 re im) (+.p16 im re))

end1.0ms (0.0%)