Details

analyze6.5s

Algorithm

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

sample526.0ms

Algorithm

intervals

Results

363.0ms	139×	body	1280	valid
102.0ms	62×	body	640	valid
28.0ms	27×	body	320	valid
6.0ms	21×	body	80	valid
5.0ms	7×	body	160	valid

simplify224.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (209.0ms)

Iter	Nodes	Cost
0	4816	103
1	4816	103

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 25.1b

Counts

2 → 1

localize38.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `sin-diff_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64` `insert-posit16`

Counts

4 → 36

Calls

4 calls:

7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series2.4s

Counts

4 → 12

Calls

4 calls:

607.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
593.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
581.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
592.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3

simplify120.0ms

Counts

48 → 48

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5108	532

prune188.0ms

Filtered

40 candidates to 48 candidates (-20.0%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	34	14	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	14	49

Merged error: 24.1b

Counts

49 → 14

localize42.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `sin-diff_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64` `insert-posit16`

Counts

4 → 36

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))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

series2.3s

Counts

4 → 12

Calls

4 calls:

573.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
590.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
588.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
598.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3

simplify115.0ms

Counts

48 → 48

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5108	532

prune179.0ms

Filtered

40 candidates to 48 candidates (-20.0%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	46	16	62

Merged error: 24.1b

Counts

62 → 16

localize47.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
8.3b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `insert-posit16`
3×	`sin-diff_binary64` `div-sub_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
1×	`rem-cbrt-cube_binary64` `pow1/3_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 49

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))
7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

series1.8s

Counts

4 → 12

Calls

4 calls:

593.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
573.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
582.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
55.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	90	9
1	90	9
0	90	9
1	90	9
0	1	3
1	1	3
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3

simplify106.0ms

Counts

61 → 61

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4970	729
1	4970	729

prune201.0ms

Filtered

43 candidates to 61 candidates (-41.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	57	4	61
Fresh	3	12	15
Picked	1	0	1
Done	0	0	0
Total	61	16	77

Merged error: 24.1b

Counts

77 → 16

localize45.0ms

Local error

Found 4 expressions with local error:

3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.5b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `sin-diff_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-sub_binary64` `add-sqr-sqrt_binary64` `insert-posit16`

Counts

4 → 36

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))

series2.3s

Counts

4 → 12

Calls

4 calls:

575.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
588.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
583.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
571.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3
0	10400	9
1	10400	9
0	10400	9
1	10400	9
0	1	3
1	1	3

simplify121.0ms

Counts

48 → 48

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5108	532

prune128.0ms

Filtered

40 candidates to 48 candidates (-20.0%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	48	16	64

Merged error: 24.1b

Counts

64 → 16

regimes592.0ms

Accuracy

0% (0.9b remaining)

Error of 24.5b against oracle of 23.6b and baseline of 24.5b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	126	111
1	126	111

end0.0ms

sample16.7s

Algorithm

intervals

Results

12.2s	4737×	body	1280	valid
3.2s	1964×	body	640	valid
587.0ms	535×	body	320	valid
170.0ms	557×	body	80	valid
151.0ms	207×	body	160	valid
2.0ms	1×	body	1280	invalid

Details

analyze6.5s

sample526.0ms

simplify224.0ms

prune6.0ms

localize38.0ms

rewrite28.0ms

series2.4s

simplify120.0ms

prune188.0ms

localize42.0ms

rewrite27.0ms

series2.3s

simplify115.0ms

prune179.0ms

localize47.0ms

rewrite28.0ms

series1.8s

simplify106.0ms

prune201.0ms

localize45.0ms

rewrite26.0ms

series2.3s

simplify121.0ms

prune128.0ms

regimes592.0ms

bsearch0.0ms

simplify9.0ms

end0.0ms

sample16.7s

Profiling