Details

analyze6.3s (22.1%)

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)

sample456.0ms (1.6%)

Algorithm

1×

intervals

Results

345.0ms	175×	body	1024	valid
46.0ms	39×	body	512	valid
23.0ms	6×	body	2048	valid
12.0ms	22×	body	128	valid
10.0ms	14×	body	256	valid

Compiler

Compiled 131 to 98 computations (25.2% saved)

simplify276.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

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: 21.5b

Counts

2 → 1

Compiler

Compiled 130 to 92 computations (29.2% saved)

localize36.0ms (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))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1147` `*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146` `add-log-exp_binary64_1150` `pow1_binary64_1172` `sin-diff_binary64_1247` `div-sub_binary64_1116` `add-exp-log_binary64_1149`

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))

series145.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify117.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4923	612
1	4923	612

prune681.0ms (2.4%)

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 15039 to 10347 computations (31.2% 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))
3.4b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite31.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1147` `*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146` `add-log-exp_binary64_1150` `pow1_binary64_1172` `sin-diff_binary64_1247` `div-sub_binary64_1116` `add-exp-log_binary64_1149`

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

series154.0ms (0.5%)

Counts

4 → 12

Calls

4 calls:

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))
36.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

simplify119.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4923	612
1	4923	612

prune677.0ms (2.4%)

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 15109 to 10603 computations (29.8% saved)

localize43.0ms (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_1147` `*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146` `add-log-exp_binary64_1150` `pow1_binary64_1172` `sin-diff_binary64_1247` `div-sub_binary64_1116` `add-exp-log_binary64_1149`

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))

series158.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify154.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	4776	612
1	4776	612

prune517.0ms (1.8%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	1	18	19
Picked	0	1	1
Done	0	1	1
Total	42	23	65

Merged error: 12.6b

Counts

65 → 23

Compiler

Compiled 11406 to 8085 computations (29.1% saved)

localize54.0ms (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))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-cbrt-cube_binary64_1147` `*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146` `add-log-exp_binary64_1150` `pow1_binary64_1172` `sin-diff_binary64_1247` `div-sub_binary64_1116` `add-exp-log_binary64_1149`

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))

series164.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
42.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
40.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify158.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4776	612
1	4776	612

prune286.0ms (1%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	20	20
Picked	0	1	1
Done	0	2	2
Total	43	24	67

Merged error: 12.6b

Counts

67 → 24

Compiler

Compiled 6281 to 4362 computations (30.6% saved)

regimes944.0ms (3.3%)

Compiler: Compiled 15790 to 11688 computations (26% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	141	145
1	141	145

end0.0ms (0%)

sample16.9s (59.2%)

Algorithm

1×

intervals

Results

11.0s	5278×	body	1024	valid
1.8s	435×	body	2048	valid
1.5s	1249×	body	512	valid
316.0ms	393×	body	256	valid
216.0ms	645×	body	128	valid
1.0ms	1×	body	512	invalid
0.0ms	1×	body	128	invalid

Compiler

Compiled 2126 to 1570 computations (26.2% saved)

Details

analyze6.3s (22.1%)

sample456.0ms (1.6%)

simplify276.0ms (1%)

prune7.0ms (0%)

localize36.0ms (0.1%)

rewrite30.0ms (0.1%)

series145.0ms (0.5%)

simplify117.0ms (0.4%)

prune681.0ms (2.4%)

localize55.0ms (0.2%)

rewrite31.0ms (0.1%)

series154.0ms (0.5%)

simplify119.0ms (0.4%)

prune677.0ms (2.4%)

localize43.0ms (0.2%)

rewrite31.0ms (0.1%)

series158.0ms (0.6%)

simplify154.0ms (0.5%)

prune517.0ms (1.8%)

localize54.0ms (0.2%)

rewrite32.0ms (0.1%)

series164.0ms (0.6%)

simplify158.0ms (0.6%)

prune286.0ms (1%)

regimes944.0ms (3.3%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample16.9s (59.2%)

Profiling