Details

analyze32.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

sample12.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify326.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (310.0ms)

Iter	Nodes	Cost
0	2117	13
1	2117	13

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity_binary64_1777`
40×	`add-sqr-sqrt_binary64_1762`
30×	`times-frac_binary64_1772`
19×	`distribute-lft-out--_binary64_1822`
14×	`add-cube-cbrt_binary64_1748`
13×	`difference-of-squares_binary64_1806`
6×	`associate-/r*_binary64_1840` `distribute-lft-out_binary64_1821`
5×	`associate-/l*_binary64_1841`
3×	`add-cbrt-cube_binary64_1749` `add-exp-log_binary64_1741`
2×	`flip3--_binary64_1776` `associate-/r/_binary64_1842` `flip--_binary64_1803` `associate-/l/_binary64_1843`
1×	`div-sub_binary64_1771` `cbrt-undiv_binary64_1747` `div-exp_binary64_1726` `clear-num_binary64_1780` `div-inv_binary64_1778` `pow1_binary64_1719` `add-log-exp_binary64_1742` `frac-2neg_binary64_1770`

Counts

1 → 58

Calls

1 calls:

13.0ms

(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

series1.2s

Counts

1 → 3

Calls

1 calls:

1.2s	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	18341	9
1	18341	9
0	18341	9
1	18341	9
0	1	3
1	1	3

simplify133.0ms

Counts

61 → 61

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5372	1312

prune36.0ms

Filtered

37 candidates to 61 candidates (-64.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	59	3	62

Merged error: 0.0b

Counts

62 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))
0.0b	(/.f64 y (-.f64 2 (+.f64 x y)))
0.0b	(/.f64 x (-.f64 2 (+.f64 x y)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity_binary64_1777`
64×	`times-frac_binary64_1772`
59×	`add-sqr-sqrt_binary64_1762`
41×	`distribute-lft-out--_binary64_1822`
27×	`add-cube-cbrt_binary64_1748`
14×	`distribute-lft-out_binary64_1821` `difference-of-squares_binary64_1806`
12×	`associate-/r*_binary64_1840`
8×	`associate-/r/_binary64_1842`
7×	`add-cbrt-cube_binary64_1749` `add-exp-log_binary64_1741`
6×	`associate-/l*_binary64_1841`
5×	`flip3--_binary64_1776` `add-log-exp_binary64_1742` `flip--_binary64_1803`
4×	`div-inv_binary64_1778`
3×	`pow1_binary64_1719` `distribute-rgt-out--_binary64_1824`
2×	`cbrt-undiv_binary64_1747` `div-exp_binary64_1726` `clear-num_binary64_1780` `frac-2neg_binary64_1770`
1×	`diff-log_binary64_1688` `sub-neg_binary64_1781` `frac-sub_binary64_1768` `sub-div_binary64_1766`

Counts

3 → 115

Calls

3 calls:

46.0ms	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))
9.0ms	(/.f64 y (-.f64 2 (+.f64 x y)))
9.0ms	(/.f64 x (-.f64 2 (+.f64 x y)))

series4.7s

Counts

3 → 9

Calls

3 calls:

2.6s	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (/.f64 y (-.f64 2 (+.f64 x y))))
1.0s	(/.f64 y (-.f64 2 (+.f64 x y)))
1.1s	(/.f64 x (-.f64 2 (+.f64 x y)))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	28819	9
0	28819	9
0	1	3
1	1	3
0	28453	9
0	28453	9
0	1	3
1	1	3
0	31457	9
0	31457	9
0	1	3
1	1	3

simplify122.0ms

Counts

124 → 124

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5036	2424

prune90.0ms

Filtered

81 candidates to 124 candidates (-53.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	124	3	127

Merged error: 0b

Counts

127 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (*.f64 y (/.f64 1 (-.f64 2 (+.f64 x y)))))
0.0b	(/.f64 1 (-.f64 2 (+.f64 x y)))
0.0b	(/.f64 x (-.f64 2 (+.f64 x y)))
0.1b	(*.f64 y (/.f64 1 (-.f64 2 (+.f64 x y))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64_1777`
66×	`add-sqr-sqrt_binary64_1762`
56×	`times-frac_binary64_1772`
37×	`add-cube-cbrt_binary64_1748`
24×	`associate-r_binary64_1836`
22×	`distribute-lft-out--_binary64_1822`
19×	`add-exp-log_binary64_1741`
13×	`add-cbrt-cube_binary64_1749`
12×	`associate-/r*_binary64_1840`
11×	`distribute-lft-out_binary64_1821` `difference-of-squares_binary64_1806`
7×	`pow1_binary64_1719`
6×	`associate-/l*_binary64_1841` `add-log-exp_binary64_1742` `associate-/r/_binary64_1842`
5×	`div-exp_binary64_1726`
4×	`flip3--_binary64_1776` `div-inv_binary64_1778` `prod-exp_binary64_1724` `flip--_binary64_1803`
3×	`cbrt-undiv_binary64_1747` `associate-l_binary64_1837` `un-div-inv_binary64_1779` `unswap-sqr_binary64_1805` `associate-*r/_binary64_1838`
2×	`clear-num_binary64_1780` `frac-sub_binary64_1768` `rec-exp_binary64_1725` `cbrt-unprod_binary64_1746` `frac-2neg_binary64_1770` `1-exp_binary64_1737` `sub-div_binary64_1766`
1×	`*-commutative_binary64_1845` `diff-log_binary64_1688` `sub-neg_binary64_1781` `pow-prod-down_binary64_1700` `pow-flip_binary64_1703` `inv-pow_binary64_1695` `distribute-rgt-out--_binary64_1824`

Counts

4 → 149

Calls

4 calls:

17.0ms	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (*.f64 y (/.f64 1 (-.f64 2 (+.f64 x y)))))
10.0ms	(/.f64 1 (-.f64 2 (+.f64 x y)))
12.0ms	(/.f64 x (-.f64 2 (+.f64 x y)))
17.0ms	(*.f64 y (/.f64 1 (-.f64 2 (+.f64 x y))))

series4.4s

Counts

4 → 12

Calls

4 calls:

1.2s	(-.f64 (/.f64 x (-.f64 2 (+.f64 x y))) (*.f64 y (/.f64 1 (-.f64 2 (+.f64 x y)))))
1.1s	(/.f64 1 (-.f64 2 (+.f64 x y)))
1.0s	(/.f64 x (-.f64 2 (+.f64 x y)))
1.1s	(*.f64 y (/.f64 1 (-.f64 2 (+.f64 x y))))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	24454	9
1	24454	9
0	24454	9
1	24454	9
0	1	3
1	1	3
0	28819	9
0	28819	9
0	1	3
1	1	3
0	24269	9
1	24269	9
0	24269	9
1	24269	9
0	1	3
1	1	3
0	27661	9
0	27661	9
0	1	3
1	1	3

simplify123.0ms

Counts

161 → 161

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5482	2453

prune115.0ms

Filtered

100 candidates to 161 candidates (-61.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	161	3	164

Merged error: 0b

Counts

164 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (-.f64 2 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
0.2b	(/.f64 (-.f64 2 (+.f64 x y)) (sqrt.f64 (-.f64 x y)))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

961×	`*-un-lft-identity_binary64_1777`
912×	`times-frac_binary64_1772`
718×	`add-sqr-sqrt_binary64_1762`
580×	`sqrt-prod_binary64_1756`
324×	`add-cube-cbrt_binary64_1748`
278×	`distribute-lft-out--_binary64_1822`
197×	`difference-of-squares_binary64_1806`
81×	`distribute-lft-out_binary64_1821`
62×	`associate-/r*_binary64_1840`
22×	`sqrt-div_binary64_1757`
21×	`associate-/r/_binary64_1842`
14×	`associate-/l*_binary64_1841`
12×	`flip3--_binary64_1776` `flip--_binary64_1803`
11×	`div-inv_binary64_1778`
9×	`add-cbrt-cube_binary64_1749` `add-exp-log_binary64_1741`
4×	`cbrt-undiv_binary64_1747` `div-exp_binary64_1726` `associate-/l/_binary64_1843`
2×	`clear-num_binary64_1780` `pow1_binary64_1719` `add-log-exp_binary64_1742` `frac-2neg_binary64_1770`
1×	`div-sub_binary64_1771`

Counts

2 → 590

Calls

2 calls:

35.0ms	(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (-.f64 2 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
15.0ms	(/.f64 (-.f64 2 (+.f64 x y)) (sqrt.f64 (-.f64 x y)))

series2.9s

Counts

2 → 6

Calls

2 calls:

1.5s	(/.f64 (sqrt.f64 (-.f64 x y)) (/.f64 (-.f64 2 (+.f64 x y)) (sqrt.f64 (-.f64 x y))))
1.4s	(/.f64 (-.f64 2 (+.f64 x y)) (sqrt.f64 (-.f64 x y)))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	30966	9
0	30966	9
0	1	3
1	1	3
0	27886	9
0	27886	9
0	1	3
1	1	3

simplify297.0ms

Counts

596 → 596

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4995	22823
1	4995	22823

prune207.0ms

Filtered

193 candidates to 596 candidates (-208.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	596	0	596
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	596	3	599

Merged error: 0b

Counts

599 → 3

regimes20.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	45	22
1	45	22

end0.0ms

sample317.0ms

Algorithm

intervals

Results

193.0ms	7999×	body	80	valid
0.0ms	1×	body	640	valid

Details

analyze32.0ms

sample12.0ms

simplify326.0ms

prune5.0ms

localize6.0ms

rewrite16.0ms

series1.2s

simplify133.0ms

prune36.0ms

localize9.0ms

rewrite71.0ms

series4.7s

simplify122.0ms

prune90.0ms

localize8.0ms

rewrite62.0ms

series4.4s

simplify123.0ms

prune115.0ms

localize7.0ms

rewrite121.0ms

series2.9s

simplify297.0ms

prune207.0ms

regimes20.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample317.0ms

Profiling