Details

analyze6.8s

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

sample581.0ms

Algorithm

intervals

Results

411.0ms	156×	body	1280	valid
112.0ms	65×	body	640	valid
26.0ms	18×	body	320	valid
4.0ms	14×	body	80	valid
2.0ms	3×	body	160	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4860	65
1	4860	65

prune15.0ms

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:

2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

rewrite23.0ms

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:

5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

series29.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

simplify137.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4836	396
1	4836	396

prune162.0ms

Filtered

40 candidates to 44 candidates (-10.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	35	9	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	9	45

Merged error: 24.3b

Counts

45 → 9

localize40.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
4.9b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))

rewrite26.0ms

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:

5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))

series28.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))

simplify82.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4793	524
1	4793	524

prune200.0ms

Filtered

44 candidates to 57 candidates (-29.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	48	9	57
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	53	13	66

Merged error: 24.3b

Counts

66 → 13

localize44.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
4.9b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))
4.9b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))

rewrite25.0ms

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) 2.0))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))
7.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))

simplify83.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4793	676
1	4793	676

prune201.0ms

Filtered

48 candidates to 70 candidates (-45.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	70	13	83

Merged error: 24.3b

Counts

83 → 13

localize42.0ms

Local error

Found 4 expressions with local error:

2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
2.6b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

rewrite25.0ms

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:

5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
6.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

series27.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0))

simplify135.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4836	396
1	4836	396

prune124.0ms

Filtered

40 candidates to 44 candidates (-10.0%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	36	8	44
Fresh	4	7	11
Picked	1	0	1
Done	0	1	1
Total	41	16	57

Merged error: 24.3b

Counts

57 → 16

regimes1.5s

Accuracy

0% (0.6b remaining)

Error of 24.2b against oracle of 23.6b and baseline of 24.2b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	185	89
1	185	89

end0.0ms

sample17.3s

Algorithm

intervals

Results

12.8s	4883×	body	1280	valid
3.2s	1917×	body	640	valid
577.0ms	512×	body	320	valid
165.0ms	511×	body	80	valid
133.0ms	177×	body	160	valid
2.0ms	1×	body	640	invalid

Details

analyze6.8s

sample581.0ms

simplify65.0ms

prune15.0ms

localize35.0ms

rewrite23.0ms

series29.0ms

simplify137.0ms

prune162.0ms

localize40.0ms

rewrite26.0ms

series28.0ms

simplify82.0ms

prune200.0ms

localize44.0ms

rewrite25.0ms

series27.0ms

simplify83.0ms

prune201.0ms

localize42.0ms

rewrite25.0ms

series27.0ms

simplify135.0ms

prune124.0ms

regimes1.5s

bsearch0.0ms

simplify4.0ms

end0.0ms

sample17.3s

Profiling