Details

analyze6.6s

Algorithm: search

sample561.0ms

Algorithm

intervals

Results

410.0ms	157×	body	1280	valid
102.0ms	60×	body	640	valid
14.0ms	12×	body	320	valid
7.0ms	21×	body	80	valid
4.0ms	6×	body	160	valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	56	38
1	98	38
2	182	38
3	309	38
4	609	38
5	2169	38
6	5001	38

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 24.1b

Counts

2 → 1

localize39.0ms

Local error

Found 4 expressions with local error:

3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series22.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify191.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	54	248
1	89	216
2	188	216
3	373	216
4	1242	216
5	4970	216
6	5002	216

prune305.0ms

Filtered

40 candidates to 44 candidates (-10.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	33	11	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	11	45

Merged error: 23.7b

Counts

45 → 11

localize51.0ms

Local error

Found 4 expressions with local error:

2.9b	(sin (/ (- phi1 phi2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- phi1 phi2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series24.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sin (/ (- phi1 phi2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
7.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify80.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	102	248
1	170	216
2	356	216
3	692	216
4	2118	216
5	5001	216

prune388.0ms

Filtered

40 candidates to 44 candidates (-10.0%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	36	8	44
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	40	15	55

Merged error: 23.0b

Counts

55 → 15

localize68.0ms

Local error

Found 4 expressions with local error:

2.9b	(sin (/ (- phi1 phi2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-sub` `sin-diff` `add-cbrt-cube` `add-log-exp`

Counts

4 → 32

Calls

4 calls:

5.0ms	(sin (/ (- phi1 phi2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series27.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(sin (/ (- phi1 phi2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	102	248
1	170	216
2	356	216
3	692	216
4	2118	216
5	5001	216

prune494.0ms

Filtered

40 candidates to 44 candidates (-10.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	35	9	44
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	39	20	59

Merged error: 13.9b

Counts

59 → 20

localize63.0ms

Local error

Found 4 expressions with local error:

0.5b	(- 1.0 (+ (pow (- (* (sin (/ phi1 2.0)) (cos (/ phi2 2.0))) (* (cos (/ phi1 2.0)) (sin (/ phi2 2.0)))) 2.0) (* (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) (sin (/ (- lambda1 lambda2) 2.0)))))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`div-sub` `sin-diff`
2×	`diff-log`
1×	`sub-neg` `flip3--` `sum-log` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 40

Calls

4 calls:

10.0ms	(- 1.0 (+ (pow (- (* (sin (/ phi1 2.0)) (cos (/ phi2 2.0))) (* (cos (/ phi1 2.0)) (sin (/ phi2 2.0)))) 2.0) (* (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) (sin (/ (- lambda1 lambda2) 2.0)))))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series236.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(- 1.0 (+ (pow (- (* (sin (/ phi1 2.0)) (cos (/ phi2 2.0))) (* (cos (/ phi1 2.0)) (sin (/ phi2 2.0)))) 2.0) (* (* (* (cos phi1) (cos phi2)) (- (* (sin (/ lambda1 2.0)) (cos (/ lambda2 2.0))) (* (cos (/ lambda1 2.0)) (sin (/ lambda2 2.0))))) (sin (/ (- lambda1 lambda2) 2.0)))))
5.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))
6.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify130.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	321	1110
1	968	1019
2	4144	995
3	5001	995

prune428.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	39	13	52
Fresh	12	7	19
Picked	1	0	1
Done	0	0	0
Total	52	20	72

Merged error: 13.7b

Counts

72 → 20

regimes2.6s

Accuracy

0% (0.4b remaining)

Error of 13.0b against oracle of 12.7b and baseline of 13.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	70
1	57	70

end0.0ms

analyze6.4s

Algorithm: search

sample17.4s

Algorithm

intervals

Results

12.5s	4790×	body	1280	valid
3.4s	1883×	body	640	valid
654.0ms	556×	body	320	valid
183.0ms	571×	body	80	valid
143.0ms	200×	body	160	valid
8.0ms	1×	body	1280	invalid
2.0ms	1×	body	640	invalid

Details

analyze6.6s

sample561.0ms

simplify78.0ms

prune8.0ms

localize39.0ms

rewrite20.0ms

series22.0ms

simplify191.0ms

prune305.0ms

localize51.0ms

rewrite20.0ms

series24.0ms

simplify80.0ms

prune388.0ms

localize68.0ms

rewrite20.0ms

series27.0ms

simplify79.0ms

prune494.0ms

localize63.0ms

rewrite25.0ms

series236.0ms

simplify130.0ms

prune428.0ms

regimes2.6s

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze6.4s

sample17.4s

Profiling