Details

analyze6.2s (21.9%)

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)

sample456.0ms (1.6%)

Algorithm

1×

intervals

Results

313.0ms	159×	body	1024	valid
77.0ms	59×	body	512	valid
32.0ms	8×	body	2048	valid
7.0ms	22×	body	128	valid
6.0ms	8×	body	256	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify286.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4751	103
1	4751	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: 24.2b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite28.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64_1860` `div-sub_binary64_1804` `add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `add-log-exp_binary64_1838` `add-cbrt-cube_binary64_1835` `*-un-lft-identity_binary64_1799` `sin-diff_binary64_1935` `add-exp-log_binary64_1837`

Counts

4 → 32

Calls

4 calls:

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

series145.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

simplify124.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4923	612
1	4923	612

prune655.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	32	12	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	12	45

Merged error: 22.6b

Counts

45 → 12

Compiler

Compiled 14193 to 9753 computations (31.3% saved)

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64_1860` `div-sub_binary64_1804` `add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `add-log-exp_binary64_1838` `add-cbrt-cube_binary64_1835` `*-un-lft-identity_binary64_1799` `sin-diff_binary64_1935` `add-exp-log_binary64_1837`

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))

series141.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify120.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4923	612
1	4923	612

prune529.0ms (1.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	38	6	44
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	40	16	56

Merged error: 13.7b

Counts

56 → 16

Compiler

Compiled 11559 to 8054 computations (30.3% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64_1860` `div-sub_binary64_1804` `add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `add-log-exp_binary64_1838` `add-cbrt-cube_binary64_1835` `*-un-lft-identity_binary64_1799` `sin-diff_binary64_1935` `add-exp-log_binary64_1837`

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))

series154.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
39.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify158.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	4776	612
1	4776	612

prune710.0ms (2.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	39	5	44
Fresh	2	13	15
Picked	0	1	1
Done	0	0	0
Total	41	19	60

Merged error: 13.7b

Counts

60 → 19

Compiler

Compiled 15503 to 11144 computations (28.1% saved)

localize57.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.8b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite33.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`pow1_binary64_1860` `div-sub_binary64_1804` `add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `add-log-exp_binary64_1838` `add-cbrt-cube_binary64_1835` `*-un-lft-identity_binary64_1799` `sin-diff_binary64_1935` `add-exp-log_binary64_1837`

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))

series167.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(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))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify161.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	4776	612
1	4776	612

prune399.0ms (1.4%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	1	16	17
Picked	0	1	1
Done	0	1	1
Total	43	20	63

Merged error: 13.6b

Counts

63 → 20

Compiler

Compiled 8455 to 5890 computations (30.3% saved)

regimes849.0ms (3%)

Compiler: Compiled 14038 to 10464 computations (25.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	141	145
1	141	145

end0.0ms (0%)

sample16.8s (59.2%)

Algorithm

1×

intervals

Results

11.1s	5299×	body	1024	valid
1.7s	410×	body	2048	valid
1.6s	1236×	body	512	valid
321.0ms	414×	body	256	valid
204.0ms	641×	body	128	valid
1.0ms	1×	body	512	invalid

Compiler

Compiled 1907 to 1417 computations (25.7% saved)

Details

analyze6.2s (21.9%)

sample456.0ms (1.6%)

simplify286.0ms (1%)

prune6.0ms (0%)

localize36.0ms (0.1%)

rewrite28.0ms (0.1%)

series145.0ms (0.5%)

simplify124.0ms (0.4%)

prune655.0ms (2.3%)

localize51.0ms (0.2%)

rewrite30.0ms (0.1%)

series141.0ms (0.5%)

simplify120.0ms (0.4%)

prune529.0ms (1.9%)

localize45.0ms (0.2%)

rewrite31.0ms (0.1%)

series154.0ms (0.5%)

simplify158.0ms (0.6%)

prune710.0ms (2.5%)

localize57.0ms (0.2%)

rewrite33.0ms (0.1%)

series167.0ms (0.6%)

simplify161.0ms (0.6%)

prune399.0ms (1.4%)

regimes849.0ms (3%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample16.8s (59.2%)

Profiling