Details

analyze6.6s (22.6%)

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)

sample426.0ms (1.5%)

Algorithm

1×

intervals

Results

304.0ms	170×	body	1024	valid
46.0ms	16×	body	2048	valid
41.0ms	36×	body	512	valid
8.0ms	11×	body	256	valid
7.0ms	23×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify198.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4778	103
1	4778	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: 25.0b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize36.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite27.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `div-sub_binary64_765` `pow1_binary64_821` `sin-diff_binary64_896` `add-sqr-sqrt_binary64_782`

Counts

4 → 32

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series74.0ms (0.3%)

Counts

4 → 24

Calls

4 calls:

21.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
18.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
18.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
17.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify122.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4803	780
1	4803	780

prune240.0ms (0.8%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	39	17	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	17	57

Merged error: 23.7b

Counts

57 → 17

Compiler

Compiled 5147 to 3146 computations (38.9% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `div-sub_binary64_765` `pow1_binary64_821` `sin-diff_binary64_896` `add-sqr-sqrt_binary64_782`

Counts

4 → 32

Calls

4 calls:

7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series77.0ms (0.3%)

Counts

4 → 24

Calls

4 calls:

20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
18.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
18.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

simplify123.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4803	780
1	4803	780

prune286.0ms (1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	5	11	16
Picked	1	0	1
Done	0	0	0
Total	54	19	73

Merged error: 12.8b

Counts

73 → 19

Compiler

Compiled 6124 to 4013 computations (34.5% saved)

localize39.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_760` `add-exp-log_binary64_798` `add-cube-cbrt_binary64_795` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `div-sub_binary64_765` `pow1_binary64_821` `sin-diff_binary64_896` `add-sqr-sqrt_binary64_782`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series82.0ms (0.3%)

Counts

4 → 24

Calls

4 calls:

21.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
21.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify103.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4877	780
1	4877	780

prune343.0ms (1.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	8	10	18
Picked	1	0	1
Done	0	0	0
Total	57	18	75

Merged error: 12.7b

Counts

75 → 18

Compiler

Compiled 6910 to 4744 computations (31.3% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.2b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
5×	`pow1_binary64_821`
4×	`add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `log-pow_binary64_849` `div-sub_binary64_765` `sin-diff_binary64_896`
3×	`exp-prod_binary64_812` `log-prod_binary64_846`
1×	`log-div_binary64_847` `exp-diff_binary64_808` `rem-log-exp_binary64_801`

Counts

4 → 40

Calls

4 calls:

7.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series237.0ms (0.8%)

Counts

4 → 24

Calls

4 calls:

176.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4966	900
1	4966	900

prune324.0ms (1.1%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	1	16	17
Picked	0	1	1
Done	0	0	0
Total	62	20	82

Merged error: 12.7b

Counts

82 → 20

Compiler

Compiled 6229 to 4199 computations (32.6% saved)

regimes2.8s (9.5%)

Compiler: Compiled 48844 to 36436 computations (25.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	141	145
1	141	145

end0.0ms (0%)

sample16.7s (57.5%)

Algorithm

1×

intervals

Results

9.6s	5260×	body	1024	valid
1.7s	1262×	body	512	valid
1.3s	405×	body	2048	valid
306.0ms	422×	body	256	valid
211.0ms	651×	body	128	valid
2.0ms	2×	body	512	invalid
2.0ms	1×	body	1024	invalid

Compiler

Compiled 4188 to 3123 computations (25.4% saved)

Details

analyze6.6s (22.6%)

sample426.0ms (1.5%)

simplify198.0ms (0.7%)

prune6.0ms (0%)

localize36.0ms (0.1%)

rewrite27.0ms (0.1%)

series74.0ms (0.3%)

simplify122.0ms (0.4%)

prune240.0ms (0.8%)

localize47.0ms (0.2%)

rewrite29.0ms (0.1%)

series77.0ms (0.3%)

simplify123.0ms (0.4%)

prune286.0ms (1%)

localize39.0ms (0.1%)

rewrite30.0ms (0.1%)

series82.0ms (0.3%)

simplify103.0ms (0.4%)

prune343.0ms (1.2%)

localize47.0ms (0.2%)

rewrite31.0ms (0.1%)

series237.0ms (0.8%)

simplify82.0ms (0.3%)

prune324.0ms (1.1%)

regimes2.8s (9.5%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample16.7s (57.5%)

Profiling