Details

analyze650.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
74.9%	25%	0.2%	7
74.9%	25%	0.2%	8
74.9%	25%	0.2%	9
74.9%	25%	0.2%	10
87.3%	12.5%	0.2%	11
87.3%	12.5%	0.2%	12
87.3%	12.5%	0.2%	13
87.3%	12.5%	0.2%	14

sample109.0ms

Algorithm

intervals

Results

36.0ms	198×	body	80	valid
21.0ms	17×	body	1280	valid
17.0ms	20×	body	640	valid
8.0ms	12×	body	320	valid
4.0ms	9×	body	160	valid

simplify183.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5413	39

prune16.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.8b

Counts

2 → 1

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (sin.f64 kx) 2)
0.3b	(pow.f64 (sin.f64 ky) 2)
1.8b	(.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
10.1b	(sqrt.f64 (+.f64 1 (.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_559`
18×	`add-exp-log_binary64_538`
17×	`*-un-lft-identity_binary64_574`
16×	`unpow-prod-down_binary64_509`
13×	`add-cube-cbrt_binary64_545`
12×	`associate-l_binary64_634`
7×	`pow1_binary64_520`
6×	`add-cbrt-cube_binary64_546` `pow-unpow_binary64_507` `prod-exp_binary64_525`
5×	`pow-exp_binary64_498` `associate-r_binary64_633`
4×	`sqr-pow_binary64_606` `unpow2_binary64_517` `unswap-sqr_binary64_602` `add-log-exp_binary64_539`
3×	`pow-to-exp_binary64_499` `sqrt-prod_binary64_553` `times-frac_binary64_569`
2×	`sqrt-div_binary64_554` `div-exp_binary64_527` `flip3-+_binary64_572` `flip-+_binary64_599` `pow-pow_binary64_502` `distribute-lft-out_binary64_618` `associate-*r/_binary64_635`
1×	`rem-sqrt-square_binary64_562` `div-inv_binary64_575` `sqrt-pow1_binary64_555` `cbrt-unprod_binary64_543` `distribute-lft-in_binary64_616` `pow1/2_binary64_510` `distribute-rgt-in_binary64_617` `*-commutative_binary64_642`

Counts

4 → 90

Calls

4 calls:

3.0ms	(pow.f64 (sin.f64 kx) 2)
3.0ms	(pow.f64 (sin.f64 ky) 2)
16.0ms	(.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
4.0ms	(sqrt.f64 (+.f64 1 (.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))

series620.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(pow.f64 (sin.f64 kx) 2)
18.0ms	(pow.f64 (sin.f64 ky) 2)
187.0ms	(.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
398.0ms	(sqrt.f64 (+.f64 1 (.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))

simplify79.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5307	2196

prune348.0ms

Filtered

66 candidates to 102 candidates (-54.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	2	103

Merged error: 0.6b

Counts

103 → 2

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (sin.f64 ky) 2)
0.4b	(.f64 (/.f64 (.f64 2 l) Om) (.f64 (/.f64 (.f64 2 l) Om) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
2.8b	(.f64 (/.f64 (.f64 2 l) Om) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
10.1b	(sqrt.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 l) Om) (.f64 (/.f64 (.f64 2 l) Om) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log_binary64_538`
67×	`add-cbrt-cube_binary64_546`
32×	`cbrt-unprod_binary64_543` `prod-exp_binary64_525`
16×	`*-un-lft-identity_binary64_574` `div-exp_binary64_527` `cbrt-undiv_binary64_544`
15×	`add-sqr-sqrt_binary64_559`
14×	`associate-l_binary64_634`
13×	`pow1_binary64_520`
12×	`add-cube-cbrt_binary64_545`
11×	`frac-times_binary64_566` `associate-*r/_binary64_635`
7×	`flip3-+_binary64_572` `flip-+_binary64_599`
6×	`associate-r_binary64_633` `times-frac_binary64_569`
5×	`unpow-prod-down_binary64_509` `distribute-lft-in_binary64_616` `distribute-rgt-in_binary64_617`
4×	`associate-*l/_binary64_636` `add-log-exp_binary64_539` `pow-prod-down_binary64_501`
3×	`sqrt-prod_binary64_553` `pow-unpow_binary64_507`
2×	`sqrt-div_binary64_554` `div-inv_binary64_575` `distribute-lft-out_binary64_618` `*-commutative_binary64_642`
1×	`rem-sqrt-square_binary64_562` `pow-to-exp_binary64_499` `sqr-pow_binary64_606` `unpow2_binary64_517` `sqrt-pow1_binary64_555` `pow-exp_binary64_498` `unswap-sqr_binary64_602` `pow-pow_binary64_502` `pow1/2_binary64_510`

Counts

4 → 125

Calls

4 calls:

3.0ms	(pow.f64 (sin.f64 ky) 2)
20.0ms	(.f64 (/.f64 (.f64 2 l) Om) (.f64 (/.f64 (.f64 2 l) Om) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
16.0ms	(.f64 (/.f64 (.f64 2 l) Om) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
4.0ms	(sqrt.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 l) Om) (.f64 (/.f64 (.f64 2 l) Om) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))

series812.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(pow.f64 (sin.f64 ky) 2)
192.0ms	(.f64 (/.f64 (.f64 2 l) Om) (.f64 (/.f64 (.f64 2 l) Om) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))
206.0ms	(.f64 (/.f64 (.f64 2 l) Om) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
399.0ms	(sqrt.f64 (+.f64 1 (.f64 (/.f64 (.f64 2 l) Om) (.f64 (/.f64 (.f64 2 l) Om) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2))))))

simplify102.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4912	3888
1	4912	3888

prune419.0ms

Filtered

82 candidates to 137 candidates (-67.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	137	2	139

Merged error: 0.6b

Counts

139 → 2

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify10.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0.6b

Counts

2 → 2

regimes767.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	45
1	28	45

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	6219×	body	80	valid
639.0ms	526×	body	1280	valid
561.0ms	642×	body	640	valid
261.0ms	409×	body	320	valid
83.0ms	204×	body	160	valid

Details

analyze650.0ms

sample109.0ms

simplify183.0ms

prune16.0ms

localize36.0ms

rewrite28.0ms

series620.0ms

simplify79.0ms

prune348.0ms

localize37.0ms

rewrite49.0ms

series812.0ms

simplify102.0ms

prune419.0ms

localize6.0ms

rewrite0.0ms

series0.0ms

simplify10.0ms

prune0.0ms

regimes767.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample3.0s

Profiling