Details

analyze8.9s (23.5%)

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)

sample636.0ms (1.7%)

Algorithm

1×

intervals

Results

441.0ms	177×	body	1024	valid
85.0ms	15×	body	2048	valid
63.0ms	42×	body	512	valid
11.0ms	11×	body	128	valid
10.0ms	11×	body	256	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify377.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	4751	103
1	4751	103

prune12.0ms (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: 24.1b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite34.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1478` `sin-diff_binary64_1578` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `pow1_binary64_1503` `div-sub_binary64_1447` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`

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

series269.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
67.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
64.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
63.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify220.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (202.0ms)

Iter	Nodes	Cost
0	4776	612
1	4776	612

prune263.0ms (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: 23.3b

Counts

45 → 11

Compiler

Compiled 3890 to 2349 computations (39.6% saved)

localize67.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite35.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1478` `sin-diff_binary64_1578` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `pow1_binary64_1503` `div-sub_binary64_1447` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`

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))

series219.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
65.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
46.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
41.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify188.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (170.0ms)

Iter	Nodes	Cost
0	4776	612
1	4776	612

prune243.0ms (0.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	44	11	55

Merged error: 23.3b

Counts

55 → 11

Compiler

Compiled 3983 to 2442 computations (38.7% saved)

localize50.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.1b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite66.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1473`
7×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1_binary64_1503`
3×	`sin-diff_binary64_1578` `cube-prod_binary64_1470` `div-sub_binary64_1447` `unpow-prod-down_binary64_1521`
1×	`cube-mult_binary64_1472` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `pow1/3_binary64_1524` `rem-cbrt-cube_binary64_1466`

Counts

4 → 45

Calls

4 calls:

16.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
12.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
11.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
11.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series221.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
62.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
48.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
48.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify113.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4778	809
1	4778	809

prune311.0ms (0.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	51	6	57
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	55	13	68

Merged error: 23.3b

Counts

68 → 13

Compiler

Compiled 5198 to 3228 computations (37.9% saved)

localize53.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
4.1b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.1b	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) 3))
7.1b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite68.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`cbrt-prod_binary64_1473`
24×	`cube-prod_binary64_1470` `unpow-prod-down_binary64_1521`
16×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`add-cbrt-cube_binary64_1478` `cube-mult_binary64_1472` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `pow1_binary64_1503`
2×	`sin-diff_binary64_1578` `pow1/3_binary64_1524` `div-sub_binary64_1447` `rem-cbrt-cube_binary64_1466`

Counts

4 → 82

Calls

4 calls:

14.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) 3))
14.0ms	(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))

series170.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
44.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
43.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3)) 3))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify104.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4805	1576
1	4805	1576

prune494.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	94	13	107

Merged error: 23.3b

Counts

107 → 13

Compiler

Compiled 7144 to 4290 computations (39.9% saved)

regimes2.1s (5.5%)

Compiler: Compiled 26380 to 19156 computations (27.4% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	129	107
1	129	107

end0.0ms (0%)

sample22.6s (59.7%)

Algorithm

1×

intervals

Results

14.5s	5330×	body	1024	valid
2.1s	413×	body	2048	valid
2.0s	1240×	body	512	valid
387.0ms	368×	body	256	valid
287.0ms	649×	body	128	valid
2.0ms	1×	body	512	invalid
2.0ms	1×	body	1024	invalid

Compiler

Compiled 2292 to 1662 computations (27.5% saved)

Details

analyze8.9s (23.5%)

sample636.0ms (1.7%)

simplify377.0ms (1%)

prune12.0ms (0%)

localize53.0ms (0.1%)

rewrite34.0ms (0.1%)

series269.0ms (0.7%)

simplify220.0ms (0.6%)

prune263.0ms (0.7%)

localize67.0ms (0.2%)

rewrite35.0ms (0.1%)

series219.0ms (0.6%)

simplify188.0ms (0.5%)

prune243.0ms (0.6%)

localize50.0ms (0.1%)

rewrite66.0ms (0.2%)

series221.0ms (0.6%)

simplify113.0ms (0.3%)

prune311.0ms (0.8%)

localize53.0ms (0.1%)

rewrite68.0ms (0.2%)

series170.0ms (0.4%)

simplify104.0ms (0.3%)

prune494.0ms (1.3%)

regimes2.1s (5.5%)

bsearch0.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample22.6s (59.7%)

Profiling