Details

analyze6.4s (23.7%)

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)

sample492.0ms (1.8%)

Algorithm

1×

intervals

Results

349.0ms	170×	body	1024	valid
62.0ms	16×	body	2048	valid
43.0ms	36×	body	512	valid
10.0ms	13×	body	256	valid
7.0ms	21×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify316.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4731	103
1	4731	103

prune10.0ms (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: 23.1b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.7b	(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))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cube-cbrt_binary64_1457` `sin-diff_binary64_1558` `div-sub_binary64_1430` `add-sqr-sqrt_binary64_1446` `add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460` `add-log-exp_binary64_1461` `*-un-lft-identity_binary64_1425`

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))

series150.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

simplify150.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4785	612
1	4785	612

prune199.0ms (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: 21.8b

Counts

45 → 15

Compiler

Compiled 4186 to 2562 computations (38.8% saved)

localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.9b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite29.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cube-cbrt_binary64_1457` `sin-diff_binary64_1558` `div-sub_binary64_1430` `add-sqr-sqrt_binary64_1446` `add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460` `add-log-exp_binary64_1461` `*-un-lft-identity_binary64_1425`

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))

series150.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
39.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify151.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4785	612
1	4785	612

prune231.0ms (0.9%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	38	6	44
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	42	17	59

Merged error: 13.2b

Counts

59 → 17

Compiler

Compiled 4975 to 3264 computations (34.4% saved)

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cube-cbrt_binary64_1457` `sin-diff_binary64_1558` `div-sub_binary64_1430` `add-sqr-sqrt_binary64_1446` `add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460` `add-log-exp_binary64_1461` `*-un-lft-identity_binary64_1425`

Counts

4 → 32

Calls

4 calls:

8.0ms	(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))

series160.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

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

simplify147.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune273.0ms (1%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	39	5	44
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	43	18	61

Merged error: 13.1b

Counts

61 → 18

Compiler

Compiled 5716 to 3929 computations (31.3% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
1.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.6b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite37.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1453`
7×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
4×	`add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460` `add-log-exp_binary64_1461`
3×	`sin-diff_binary64_1558` `div-sub_binary64_1430` `unpow-prod-down_binary64_1501` `cube-prod_binary64_1450`
1×	`unpow3_binary64_1488` `pow1/3_binary64_1504` `cube-mult_binary64_1452` `rem-cbrt-cube_binary64_1448` `sqr-pow_binary64_1397`

Counts

4 → 45

Calls

4 calls:

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

series155.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
40.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
39.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify94.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4780	809
1	4780	809

prune292.0ms (1.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	17	17
Picked	1	0	1
Done	0	0	0
Total	54	21	75

Merged error: 13.1b

Counts

75 → 21

Compiler

Compiled 5589 to 3773 computations (32.5% saved)

regimes891.0ms (3.3%)

Compiler: Compiled 14558 to 10944 computations (24.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	151	173
1	151	173

end0.0ms (0%)

sample16.5s (60.9%)

Algorithm

1×

intervals

Results

10.6s	5229×	body	1024	valid
1.8s	447×	body	2048	valid
1.6s	1244×	body	512	valid
270.0ms	352×	body	256	valid
251.0ms	728×	body	128	valid
1.0ms	1×	body	512	invalid

Compiler

Compiled 1989 to 1488 computations (25.2% saved)

Details

analyze6.4s (23.7%)

sample492.0ms (1.8%)

simplify316.0ms (1.2%)

prune10.0ms (0%)

localize34.0ms (0.1%)

rewrite29.0ms (0.1%)

series150.0ms (0.6%)

simplify150.0ms (0.6%)

prune199.0ms (0.7%)

localize52.0ms (0.2%)

rewrite29.0ms (0.1%)

series150.0ms (0.6%)

simplify151.0ms (0.6%)

prune231.0ms (0.9%)

localize42.0ms (0.2%)

rewrite32.0ms (0.1%)

series160.0ms (0.6%)

simplify147.0ms (0.5%)

prune273.0ms (1%)

localize47.0ms (0.2%)

rewrite37.0ms (0.1%)

series155.0ms (0.6%)

simplify94.0ms (0.3%)

prune292.0ms (1.1%)

regimes891.0ms (3.3%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample16.5s (60.9%)

Profiling