Details

analyze6.3s (22.7%)

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)

sample474.0ms (1.7%)

Algorithm

1×

intervals

Results

339.0ms	165×	body	1024	valid
50.0ms	13×	body	2048	valid
45.0ms	37×	body	512	valid
11.0ms	15×	body	256	valid
8.0ms	26×	body	128	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify278.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4751	103
1	4751	103

prune7.0ms (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: 22.8b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite33.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64_1477` `pow1_binary64_1516` `add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491` `sin-diff_binary64_1591` `add-cube-cbrt_binary64_1490` `div-sub_binary64_1460` `*-un-lft-identity_binary64_1455` `add-exp-log_binary64_1493`

Counts

4 → 32

Calls

4 calls:

9.0ms	(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))

series146.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
37.0ms	(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))

simplify159.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4776	612
1	4776	612

prune461.0ms (1.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	33	11	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	12	45

Merged error: 22.3b

Counts

45 → 12

Compiler

Compiled 9870 to 6646 computations (32.7% saved)

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.2b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite33.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1486`
7×	`add-sqr-sqrt_binary64_1477` `add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
4×	`pow1_binary64_1516` `add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
3×	`unpow-prod-down_binary64_1534` `sin-diff_binary64_1591` `cube-prod_binary64_1483` `div-sub_binary64_1460`
1×	`pow1/3_binary64_1537` `cube-mult_binary64_1485` `unpow3_binary64_1521` `sqr-pow_binary64_1427` `rem-cbrt-cube_binary64_1479`

Counts

4 → 45

Calls

4 calls:

7.0ms	(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))

series165.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
45.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

simplify84.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4778	809
1	4778	809

prune544.0ms (2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	4	6	10
Picked	1	0	1
Done	0	1	1
Total	58	11	69

Merged error: 22.3b

Counts

69 → 11

Compiler

Compiled 11550 to 7757 computations (32.8% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))

rewrite35.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1477` `add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
5×	`pow1_binary64_1516`
4×	`add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491` `sin-diff_binary64_1591` `div-sub_binary64_1460` `log-pow_binary64_1544` `add-exp-log_binary64_1493`
3×	`exp-prod_binary64_1507` `log-prod_binary64_1541`
1×	`log-div_binary64_1542` `exp-diff_binary64_1503` `rem-log-exp_binary64_1496`

Counts

4 → 40

Calls

4 calls:

8.0ms	(log.f64 (exp.f64 (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))

series216.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
36.0ms	(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))

simplify94.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4920	732
1	4920	732

prune238.0ms (0.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	51	12	63

Merged error: 22.3b

Counts

63 → 12

Compiler

Compiled 5367 to 3354 computations (37.5% saved)

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.2b	(cbrt.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (/.f64 lambda1 2)) (cos.f64 (/.f64 lambda2 2))) (.f64 (cos.f64 (/.f64 lambda1 2)) (sin.f64 (/.f64 lambda2 2)))) 3))

rewrite36.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1486`
7×	`add-sqr-sqrt_binary64_1477` `add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
4×	`pow1_binary64_1516` `add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
3×	`unpow-prod-down_binary64_1534` `sin-diff_binary64_1591` `cube-prod_binary64_1483` `div-sub_binary64_1460`
2×	`cbrt-div_binary64_1487` `cube-div_binary64_1484`
1×	`pow1/3_binary64_1537` `cube-mult_binary64_1485` `unpow3_binary64_1521` `sqr-pow_binary64_1427` `flip--_binary64_1430` `flip3--_binary64_1459` `rem-cbrt-cube_binary64_1479`

Counts

4 → 47

Calls

4 calls:

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

series299.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt.f64 (pow.f64 (-.f64 (.f64 (sin.f64 (/.f64 lambda1 2)) (cos.f64 (/.f64 lambda2 2))) (.f64 (cos.f64 (/.f64 lambda1 2)) (sin.f64 (/.f64 lambda2 2)))) 3))
41.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
41.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify87.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4961	1675
1	4961	1675

prune454.0ms (1.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	1	8	9
Picked	1	0	1
Done	1	1	2
Total	58	13	71

Merged error: 22.1b

Counts

71 → 13

Compiler

Compiled 9238 to 6312 computations (31.7% saved)

regimes641.0ms (2.3%)

Compiler: Compiled 9789 to 7263 computations (25.8% saved)

bsearch0.0ms (0%)

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	503	150
1	503	150

end0.0ms (0%)

sample16.7s (60.4%)

Algorithm

1×

intervals

Results

11.2s	5287×	body	1024	valid
1.7s	420×	body	2048	valid
1.6s	1254×	body	512	valid
315.0ms	387×	body	256	valid
213.0ms	652×	body	128	valid
4.0ms	2×	body	1024	invalid

Compiler

Compiled 1210 to 897 computations (25.9% saved)

Details

analyze6.3s (22.7%)

sample474.0ms (1.7%)

simplify278.0ms (1%)

prune7.0ms (0%)

localize34.0ms (0.1%)

rewrite33.0ms (0.1%)

series146.0ms (0.5%)

simplify159.0ms (0.6%)

prune461.0ms (1.7%)

localize43.0ms (0.2%)

rewrite33.0ms (0.1%)

series165.0ms (0.6%)

simplify84.0ms (0.3%)

prune544.0ms (2%)

localize40.0ms (0.1%)

rewrite35.0ms (0.1%)

series216.0ms (0.8%)

simplify94.0ms (0.3%)

prune238.0ms (0.9%)

localize53.0ms (0.2%)

rewrite36.0ms (0.1%)

series299.0ms (1.1%)

simplify87.0ms (0.3%)

prune454.0ms (1.6%)

regimes641.0ms (2.3%)

bsearch0.0ms (0%)

simplify23.0ms (0.1%)

end0.0ms (0%)

sample16.7s (60.4%)

Profiling