Details

analyze6.3s

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

sample476.0ms

Algorithm

intervals

Results

349.0ms	173×	body	1024	valid
52.0ms	40×	body	512	valid
37.0ms	10×	body	2048	valid
12.0ms	16×	body	256	valid
5.0ms	17×	body	128	valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4832	103
1	4832	103

prune7.0ms

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: 24.8b

Counts

2 → 1

localize35.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite32.0ms

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`

Counts

4 → 32

Calls

4 calls:

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

series145.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
39.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
34.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify145.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune168.0ms

Filtered

36 candidates to 44 candidates (-22.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	32	12	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	12	45

Merged error: 24.2b

Counts

45 → 12

localize45.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(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`

Counts

4 → 32

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(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))

series149.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
39.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
36.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify145.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4733	612
1	4733	612

prune161.0ms

Filtered

36 candidates to 44 candidates (-22.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	44	12	56

Merged error: 24.2b

Counts

56 → 12

localize45.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite33.0ms

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`
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 → 45

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))

series165.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
37.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
38.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
46.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

simplify74.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4786	809
1	4786	809

prune191.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	56	13	69

Merged error: 24.1b

Counts

69 → 13

localize48.0ms

Local error

Found 4 expressions with local error:

3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.9b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
3.9b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

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

series162.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
44.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
35.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))
42.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

simplify76.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4786	1046
1	4786	1046

prune146.0ms

Filtered

43 candidates to 70 candidates (-62.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	69	14	83

Merged error: 24.1b

Counts

83 → 14

regimes570.0ms

Accuracy

0% (0.6b remaining)

Error of 24.8b against oracle of 24.2b and baseline of 24.8b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	134	117
1	134	117

end0.0ms

sample15.2s

Algorithm

intervals

Results

10.9s	5355×	body	1024	valid
1.8s	384×	body	2048	valid
1.5s	1194×	body	512	valid
283.0ms	370×	body	256	valid
224.0ms	697×	body	128	valid
1.0ms	1×	body	512	invalid

Details

analyze6.3s

sample476.0ms

simplify113.0ms

prune7.0ms

localize35.0ms

rewrite32.0ms

series145.0ms

simplify145.0ms

prune168.0ms

localize45.0ms

rewrite28.0ms

series149.0ms

simplify145.0ms

prune161.0ms

localize45.0ms

rewrite33.0ms

series165.0ms

simplify74.0ms

prune191.0ms

localize48.0ms

rewrite37.0ms

series162.0ms

simplify76.0ms

prune146.0ms

regimes570.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample15.2s

Profiling