Details

analyze6.7s

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

sample565.0ms

Algorithm

intervals

Results

409.0ms	156×	body	1280	valid
105.0ms	65×	body	640	valid
20.0ms	18×	body	320	valid
4.0ms	14×	body	80	valid
2.0ms	3×	body	160	valid

simplify67.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4860	65
1	4860	65

prune11.0ms

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

localize38.0ms

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))
5.0ms	(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))

simplify138.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4836	396
1	4836	396

prune168.0ms

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

localize41.0ms

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))

rewrite24.0ms

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

series29.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(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))
9.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2.0)) 3))

simplify79.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4793	524
1	4793	524

prune204.0ms

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

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))
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))

rewrite27.0ms

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

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	(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))

simplify80.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4793	676
1	4793	676

prune203.0ms

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

localize43.0ms

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

series30.0ms

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))
9.0ms	(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

prune125.0ms

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

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	185	89
1	185	89

end0.0ms

sample17.4s

Algorithm

intervals

Results

12.9s	4883×	body	1280	valid
3.2s	1917×	body	640	valid
577.0ms	512×	body	320	valid
160.0ms	511×	body	80	valid
126.0ms	177×	body	160	valid
2.0ms	1×	body	640	invalid

Details

analyze6.7s

sample565.0ms

simplify67.0ms

prune11.0ms

localize38.0ms

rewrite23.0ms

series27.0ms

simplify138.0ms

prune168.0ms

localize41.0ms

rewrite24.0ms

series29.0ms

simplify79.0ms

prune204.0ms

localize42.0ms

rewrite27.0ms

series27.0ms

simplify80.0ms

prune203.0ms

localize43.0ms

rewrite23.0ms

series30.0ms

simplify137.0ms

prune125.0ms

regimes1.5s

bsearch0.0ms

simplify5.0ms

end0.0ms

sample17.4s

Profiling