Details

analyze7.4s (24.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
0.6%	99.2%	0.2%	13
1.8%	98%	0.2%	14

Compiler

Compiled 66 to 47 computations (28.8% saved)

sample563.0ms (1.9%)

Algorithm

1×

intervals

Results

384.0ms	167×	body	1024	valid
81.0ms	18×	body	2048	valid
53.0ms	36×	body	512	valid
14.0ms	16×	body	256	valid
7.0ms	19×	body	128	valid
1.0ms	1×	body	512	invalid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify159.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	4731	103
1	4731	103

prune6.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 22.2b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `sin-diff_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 32

Calls

4 calls:

8.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

series148.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

simplify152.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4785	612
1	4785	612

prune194.0ms (0.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	30	14	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	14	45

Merged error: 20.7b

Counts

45 → 14

Compiler

Compiled 4119 to 2517 computations (38.9% saved)

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `sin-diff_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 32

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series154.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify151.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4785	612
1	4785	612

prune231.0ms (0.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	38	6	44
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	40	18	58

Merged error: 11.7b

Counts

58 → 18

Compiler

Compiled 5067 to 3330 computations (34.3% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `sin-diff_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 32

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series156.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify143.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune271.0ms (0.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	40	4	44
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	43	19	62

Merged error: 11.7b

Counts

62 → 19

Compiler

Compiled 5805 to 3994 computations (31.2% saved)

localize60.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite33.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `sin-diff_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 32

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series176.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
45.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
42.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
41.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify141.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune249.0ms (0.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	42	21	63

Merged error: 11.7b

Counts

63 → 21

Compiler

Compiled 4972 to 3309 computations (33.4% saved)

regimes898.0ms (3%)

Compiler: Compiled 14758 to 11008 computations (25.4% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	169	201
1	169	201

end0.0ms (0%)

sample18.8s (62%)

Algorithm

1×

intervals

Results

12.4s	5249×	body	1024	valid
1.9s	431×	body	2048	valid
1.8s	1245×	body	512	valid
378.0ms	417×	body	256	valid
255.0ms	658×	body	128	valid
2.0ms	1×	body	1024	invalid
1.0ms	1×	body	512	invalid

Compiler

Compiled 2031 to 1507 computations (25.8% saved)

Details

analyze7.4s (24.4%)

sample563.0ms (1.9%)

simplify159.0ms (0.5%)

prune6.0ms (0%)

localize37.0ms (0.1%)

rewrite31.0ms (0.1%)

series148.0ms (0.5%)

simplify152.0ms (0.5%)

prune194.0ms (0.6%)

localize54.0ms (0.2%)

rewrite32.0ms (0.1%)

series154.0ms (0.5%)

simplify151.0ms (0.5%)

prune231.0ms (0.8%)

localize48.0ms (0.2%)

rewrite32.0ms (0.1%)

series156.0ms (0.5%)

simplify143.0ms (0.5%)

prune271.0ms (0.9%)

localize60.0ms (0.2%)

rewrite33.0ms (0.1%)

series176.0ms (0.6%)

simplify141.0ms (0.5%)

prune249.0ms (0.8%)

regimes898.0ms (3%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample18.8s (62%)

Profiling