Details

analyze6.6s (21.1%)

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 (1.8%)

Algorithm

1×

intervals

Results

407.0ms	152×	body	1280	valid
104.0ms	62×	body	640	valid
18.0ms	16×	body	320	valid
8.0ms	11×	body	160	valid
5.0ms	15×	body	80	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify139.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4810	103
1	4810	103

prune9.0ms (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: 24.9b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
4.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite23.0ms (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 phi1 phi2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

series25.0ms (0.1%)

Counts

4 → 12

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))

simplify170.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	4819	612
1	4819	612

prune151.0ms (0.5%)

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: 23.6b

Counts

45 → 12

Compiler

Compiled 3974 to 2411 computations (39.3% saved)

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.2b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite23.0ms (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))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series23.0ms (0.1%)

Counts

4 → 12

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 lambda1 lambda2) 2))

simplify174.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (159.0ms)

Iter	Nodes	Cost
0	4819	612
1	4819	612

prune199.0ms (0.6%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	35	9	44
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	38	18	56

Merged error: 11.4b

Counts

56 → 18

Compiler

Compiled 5116 to 3368 computations (34.2% saved)

localize46.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite23.0ms (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))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series23.0ms (0.1%)

Counts

4 → 12

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))

simplify185.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (166.0ms)

Iter	Nodes	Cost
0	4738	612
1	4738	612

prune250.0ms (0.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	36	8	44
Fresh	4	13	17
Picked	1	0	1
Done	0	0	0
Total	41	21	62

Merged error: 11.3b

Counts

62 → 21

Compiler

Compiled 6057 to 4187 computations (30.9% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.2b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`sin-diff_binary64` `div-sub_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
1×	`rem-cbrt-cube_binary64` `pow1/3_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 45

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
6.0ms	(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))

series26.0ms (0.1%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify121.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4784	809
1	4784	809

prune212.0ms (0.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	54	24	78

Merged error: 11.3b

Counts

78 → 24

Compiler

Compiled 5589 to 3773 computations (32.5% saved)

regimes1.4s (4.5%)

Compiler: Compiled 17270 to 13000 computations (24.7% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	156	149
1	156	149

end0.0ms (0%)

sample20.8s (66.3%)

Algorithm

1×

intervals

Results

12.6s	4735×	body	1280	valid
3.4s	1992×	body	640	valid
575.0ms	508×	body	320	valid
180.0ms	562×	body	80	valid
164.0ms	203×	body	160	valid
10.0ms	4×	body	1280	invalid
2.0ms	1×	body	640	invalid

Compiler

Compiled 2313 to 1736 computations (24.9% saved)

Details

analyze6.6s (21.1%)

sample563.0ms (1.8%)

simplify139.0ms (0.4%)

prune9.0ms (0%)

localize34.0ms (0.1%)

rewrite23.0ms (0.1%)

series25.0ms (0.1%)

simplify170.0ms (0.5%)

prune151.0ms (0.5%)

localize54.0ms (0.2%)

rewrite23.0ms (0.1%)

series23.0ms (0.1%)

simplify174.0ms (0.6%)

prune199.0ms (0.6%)

localize46.0ms (0.1%)

rewrite23.0ms (0.1%)

series23.0ms (0.1%)

simplify185.0ms (0.6%)

prune250.0ms (0.8%)

localize47.0ms (0.2%)

rewrite24.0ms (0.1%)

series26.0ms (0.1%)

simplify121.0ms (0.4%)

prune212.0ms (0.7%)

regimes1.4s (4.5%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample20.8s (66.3%)

Profiling