Details

simplify7.5m (62.2%)

sample3.0m (25.1%)

Algorithm
68×halfpoints
Results

prune47.4s (6.5%)

localize28.1s (3.9%)

regimes12.9s (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)

rewrite3.5s (0.5%)

Algorithm
112×rewrite-expression-head
Calls

377 calls:

Slowest
102.0ms
(/.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)))
87.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 beta alpha)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) (real->posit16 1))))
71.0ms
(/.p16 (/.p16 (*.p16 i (+.p16 (+.p16 alpha beta) i)) (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i))) (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)))
70.0ms
(/.p16 (+.p16 (+.p16 (+.p16 alpha beta) (*.p16 (real->posit16 2) i)) (real->posit16 1.0)) (+.p16 (+.p16 alpha beta) i))
68.0ms
(/.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))
Rules
155×p16-flip--
103×sub-neg
90×+-commutative
77×*-commutative
63×associate-/l/
36×distribute-lft-in distribute-rgt-in
34×associate-*l/
30×associate-/l*
29×associate-*r/
26×associate-/r/
25×difference-of-squares
22×associate-*l*
20×associate-+l+
19×associate--l+
17×distribute-lft-out associate-+r+ 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+

bsearch124.0ms (0.0%)

series57.0ms (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 (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)
0.0ms
(-.p16 (neg.p16 b) (sqrt.p16 (-.p16 (*.p16 b b) (*.p16 (real->posit16 4) (*.p16 a c)))))
0.0ms
(*.p16 (+.p16 im im) re)

end1.0ms (0.0%)