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

sample549.0ms

Algorithm

intervals

Results

398.0ms	151×	body	1280	valid
95.0ms	56×	body	640	valid
27.0ms	23×	body	320	valid
7.0ms	22×	body	80	valid
3.0ms	4×	body	160	valid

simplify139.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4833	103
1	4833	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: 25.0b

Counts

2 → 1

localize34.0ms

Local error

Found 4 expressions with local error:

2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

rewrite21.0ms

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))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

series88.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))
22.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

simplify171.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (157.0ms)

Iter	Nodes	Cost
0	4825	612
1	4825	612

prune163.0ms

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: 23.3b

Counts

45 → 12

localize51.0ms

Local error

Found 4 expressions with local error:

2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
3.8b	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

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))
7.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

series82.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
21.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0ms	(sin.f64 (/.f64 (-.f64 phi1 phi2) 2))

simplify179.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (164.0ms)

Iter	Nodes	Cost
0	4825	612
1	4825	612

prune201.0ms

Filtered

36 candidates to 44 candidates (-22.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	37	7	44
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	39	17	56

Merged error: 13.4b

Counts

56 → 17

localize46.0ms

Local error

Found 4 expressions with local error:

2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

rewrite22.0ms

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

series87.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
24.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
22.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))

simplify184.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (169.0ms)

Iter	Nodes	Cost
0	4752	612
1	4752	612

prune236.0ms

Filtered

36 candidates to 44 candidates (-22.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	38	6	44
Fresh	5	11	16
Picked	1	0	1
Done	0	0	0
Total	44	17	61

Merged error: 13.3b

Counts

61 → 17

localize52.0ms

Local error

Found 4 expressions with local error:

2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
2.7b	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
8.0b	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

rewrite23.0ms

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))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
5.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
6.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

series80.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
20.0ms	(sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2))
21.0ms	(cbrt.f64 (pow.f64 (sin.f64 (/.f64 (-.f64 lambda1 lambda2) 2)) 3))

simplify99.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4785	809
1	4785	809

prune190.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	56	18	74

Merged error: 13.3b

Counts

74 → 18

regimes734.0ms

Accuracy

0% (0.5b remaining)

Error of 13.9b against oracle of 13.4b and baseline of 13.9b

bsearch0.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	174	173
1	174	173

end0.0ms

sample17.5s

Algorithm

intervals

Results

12.8s	4773×	body	1280	valid
3.3s	1909×	body	640	valid
641.0ms	568×	body	320	valid
177.0ms	566×	body	80	valid
153.0ms	184×	body	160	valid
5.0ms	2×	body	1280	invalid
2.0ms	1×	body	640	invalid

Details

analyze6.5s

sample549.0ms

simplify139.0ms

prune7.0ms

localize34.0ms

rewrite21.0ms

series88.0ms

simplify171.0ms

prune163.0ms

localize51.0ms

rewrite23.0ms

series82.0ms

simplify179.0ms

prune201.0ms

localize46.0ms

rewrite22.0ms

series87.0ms

simplify184.0ms

prune236.0ms

localize52.0ms

rewrite23.0ms

series80.0ms

simplify99.0ms

prune190.0ms

regimes734.0ms

bsearch0.0ms

simplify6.0ms

end0.0ms

sample17.5s

Profiling