Details

analyze6.2s (22.8%)

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)

sample454.0ms (1.7%)

Algorithm

1×

intervals

Results

347.0ms	175×	body	1024	valid
46.0ms	39×	body	512	valid
23.0ms	6×	body	2048	valid
10.0ms	14×	body	256	valid
7.0ms	22×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify323.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

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: 21.5b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(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))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1121` `add-sqr-sqrt_binary64_1109` `sin-diff_binary64_1221` `add-exp-log_binary64_1123` `div-sub_binary64_1093` `add-log-exp_binary64_1124` `pow1_binary64_1146` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`

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

series146.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(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))
35.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

simplify150.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4785	612
1	4785	612

prune202.0ms (0.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	29	15	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	15	45

Merged error: 20.2b

Counts

45 → 15

Compiler

Compiled 4190 to 2564 computations (38.8% saved)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1121` `add-sqr-sqrt_binary64_1109` `sin-diff_binary64_1221` `add-exp-log_binary64_1123` `div-sub_binary64_1093` `add-log-exp_binary64_1124` `pow1_binary64_1146` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`

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

series148.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
39.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify150.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4785	612
1	4785	612

prune236.0ms (0.9%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	1	13	14
Picked	0	1	1
Done	0	0	0
Total	38	21	59

Merged error: 12.6b

Counts

59 → 21

Compiler

Compiled 5225 to 3441 computations (34.1% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1121` `add-sqr-sqrt_binary64_1109` `sin-diff_binary64_1221` `add-exp-log_binary64_1123` `div-sub_binary64_1093` `add-log-exp_binary64_1124` `pow1_binary64_1146` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`

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))

series173.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

50.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
49.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
42.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
33.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify145.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune283.0ms (1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	1	18	19
Picked	1	0	1
Done	0	1	1
Total	43	22	65

Merged error: 12.6b

Counts

65 → 22

Compiler

Compiled 5929 to 4074 computations (31.3% saved)

localize55.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.0b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite33.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1121` `add-sqr-sqrt_binary64_1109` `sin-diff_binary64_1221` `add-exp-log_binary64_1123` `div-sub_binary64_1093` `add-log-exp_binary64_1124` `pow1_binary64_1146` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`

Counts

4 → 32

Calls

4 calls:

7.0ms	(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))

series163.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
43.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
41.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify142.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune204.0ms (0.8%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	20	20
Picked	0	1	1
Done	0	1	1
Total	43	23	66

Merged error: 12.6b

Counts

66 → 23

Compiler

Compiled 4312 to 2913 computations (32.4% saved)

regimes1.1s (4.2%)

Compiler: Compiled 15062 to 11136 computations (26.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	153	149
1	153	149

end0.0ms (0%)

sample16.5s (61%)

Algorithm

1×

intervals

Results

10.7s	5278×	body	1024	valid
1.8s	435×	body	2048	valid
1.5s	1249×	body	512	valid
302.0ms	393×	body	256	valid
208.0ms	645×	body	128	valid
1.0ms	1×	body	512	invalid
0.0ms	1×	body	128	invalid

Compiler

Compiled 2037 to 1503 computations (26.2% saved)

Details

analyze6.2s (22.8%)

sample454.0ms (1.7%)

simplify323.0ms (1.2%)

prune6.0ms (0%)

localize35.0ms (0.1%)

rewrite32.0ms (0.1%)

series146.0ms (0.5%)

simplify150.0ms (0.6%)

prune202.0ms (0.7%)

localize49.0ms (0.2%)

rewrite29.0ms (0.1%)

series148.0ms (0.5%)

simplify150.0ms (0.6%)

prune236.0ms (0.9%)

localize47.0ms (0.2%)

rewrite31.0ms (0.1%)

series173.0ms (0.6%)

simplify145.0ms (0.5%)

prune283.0ms (1%)

localize55.0ms (0.2%)

rewrite33.0ms (0.1%)

series163.0ms (0.6%)

simplify142.0ms (0.5%)

prune204.0ms (0.8%)

regimes1.1s (4.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample16.5s (61%)

Profiling