Details

analyze6.5s (24.2%)

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)

sample481.0ms (1.8%)

Algorithm

1×

intervals

Results

334.0ms	165×	body	1024	valid
52.0ms	37×	body	512	valid
50.0ms	13×	body	2048	valid
13.0ms	26×	body	128	valid
11.0ms	15×	body	256	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify318.0ms (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: 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))

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

series153.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(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))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify141.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune179.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	33	11	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	11	45

Merged error: 22.3b

Counts

45 → 11

Compiler

Compiled 3884 to 2346 computations (39.6% saved)

localize42.0ms (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_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:

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))

series158.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
43.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

simplify88.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4780	809
1	4780	809

prune226.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	58	10	68

Merged error: 22.3b

Counts

68 → 10

Compiler

Compiled 4846 to 2939 computations (39.4% saved)

localize44.0ms (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))
3.9b	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
5×	`pow1_binary64_1483`
4×	`sin-diff_binary64_1558` `div-sub_binary64_1430` `add-cbrt-cube_binary64_1458` `log-pow_binary64_1511` `add-exp-log_binary64_1460` `add-log-exp_binary64_1461`
3×	`exp-prod_binary64_1474` `log-prod_binary64_1508`
1×	`exp-diff_binary64_1470` `log-div_binary64_1509` `rem-log-exp_binary64_1463`

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))

series236.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(log.f64 (exp.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))))
37.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
33.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify87.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4872	732
1	4872	732

prune192.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	51	11	62

Merged error: 22.3b

Counts

62 → 11

Compiler

Compiled 4483 to 2717 computations (39.4% saved)

localize54.0ms (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_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`
2×	`cbrt-div_binary64_1454` `cube-div_binary64_1451`
1×	`flip--_binary64_1400` `unpow3_binary64_1488` `pow1/3_binary64_1504` `cube-mult_binary64_1452` `flip3--_binary64_1429` `rem-cbrt-cube_binary64_1448` `sqr-pow_binary64_1397`

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))

series301.0ms (1.1%)

Counts

4 → 12

Calls

4 calls:

185.0ms	(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))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5160	1687

prune261.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	57	13	70

Merged error: 22.1b

Counts

70 → 13

Compiler

Compiled 5252 to 3397 computations (35.3% saved)

regimes639.0ms (2.4%)

Compiler: Compiled 9809 to 7233 computations (26.3% saved)

bsearch0.0ms (0%)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	503	150
1	503	150

end0.0ms (0%)

sample16.5s (61.5%)

Algorithm

1×

intervals

Results

11.0s	5287×	body	1024	valid
1.9s	420×	body	2048	valid
1.6s	1254×	body	512	valid
304.0ms	387×	body	256	valid
220.0ms	652×	body	128	valid
4.0ms	2×	body	1024	invalid

Compiler

Compiled 1184 to 873 computations (26.3% saved)

Details

analyze6.5s (24.2%)

sample481.0ms (1.8%)

simplify318.0ms (1.2%)

prune6.0ms (0%)

localize34.0ms (0.1%)

rewrite29.0ms (0.1%)

series153.0ms (0.6%)

simplify141.0ms (0.5%)

prune179.0ms (0.7%)

localize42.0ms (0.2%)

rewrite33.0ms (0.1%)

series158.0ms (0.6%)

simplify88.0ms (0.3%)

prune226.0ms (0.8%)

localize44.0ms (0.2%)

rewrite32.0ms (0.1%)

series236.0ms (0.9%)

simplify87.0ms (0.3%)

prune192.0ms (0.7%)

localize54.0ms (0.2%)

rewrite36.0ms (0.1%)

series301.0ms (1.1%)

simplify48.0ms (0.2%)

prune261.0ms (1%)

regimes639.0ms (2.4%)

bsearch0.0ms (0%)

simplify18.0ms (0.1%)

end0.0ms (0%)

sample16.5s (61.5%)

Profiling