Details

sample569.0ms

Algorithm

intervals

Results

350.0ms	150×	body	1280	valid
99.0ms	65×	body	640	valid
48.0ms	7×	body	160	valid
17.0ms	17×	body	320	valid
6.0ms	17×	body	80	valid

simplify7.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	26	1117
1	56	1117
2	95	1117
3	172	1117
4	297	1117
5	472	1117
6	1145	1117
7	4198	1117
done	5005	1117

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize157.0ms

Local error

Found 4 expressions with local error:

3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.4b	(sin (/ (- lambda1 lambda2) 2.0))
3.6b	(sin (/ (- phi1 phi2) 2.0))
3.6b	(sin (/ (- phi1 phi2) 2.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

12.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))
11.0ms	(sin (/ (- phi1 phi2) 2.0))

series222.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- phi1 phi2) 2.0))
68.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify4.4s

Counts

44 → 44

Iterations

Useful iterations: 3 (121.0ms)

Iter	Nodes	Cost
0	60	10752
1	103	10228
2	174	10148
3	315	10068
4	542	10068
5	1072	10068
6	3093	10068
done	5000	10068

prune800.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 23.4b

localize170.0ms

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))
3.6b	(sin (/ (- phi1 phi2) 2.0))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
16.0ms	(sin (/ (- lambda1 lambda2) 2.0))
10.0ms	(sin (/ (- phi1 phi2) 2.0))

series208.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
52.0ms	(sin (/ (- lambda1 lambda2) 2.0))
63.0ms	(sin (/ (- lambda1 lambda2) 2.0))
47.0ms	(sin (/ (- phi1 phi2) 2.0))

simplify4.2s

Counts

44 → 44

Iterations

Useful iterations: 3 (118.0ms)

Iter	Nodes	Cost
0	60	10752
1	103	10228
2	174	10108
3	315	10068
4	542	10068
5	1072	10068
6	3093	10068
done	5000	10068

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 13.7b

localize205.0ms

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))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 32

Calls

4 calls:

15.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))

series218.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sin (/ (- lambda1 lambda2) 2.0))
42.0ms	(sin (/ (- lambda1 lambda2) 2.0))
51.0ms	(sin (/ (- lambda1 lambda2) 2.0))
58.0ms	(sin (/ (- lambda1 lambda2) 2.0))

simplify4.6s

Counts

44 → 44

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	32	10752
1	55	10228
2	91	10068
3	169	10068
4	303	10068
5	632	10068
6	1956	10068
done	5000	10068

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 13.7b

localize251.0ms

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))
8.5b	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`div-sub` `sin-diff`
1×	`cbrt-prod` `cbrt-div` `pow1/3` `pow3` `associate-*l/` `rem-cbrt-cube` `sin-mult`

Counts

4 → 35

Calls

4 calls:

8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
8.0ms	(sin (/ (- lambda1 lambda2) 2.0))
13.0ms	(sin (/ (- lambda1 lambda2) 2.0))
88.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

series217.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(sin (/ (- lambda1 lambda2) 2.0))
65.0ms	(sin (/ (- lambda1 lambda2) 2.0))
46.0ms	(sin (/ (- lambda1 lambda2) 2.0))
62.0ms	(cbrt (* (* (sin (/ (- lambda1 lambda2) 2.0)) (sin (/ (- lambda1 lambda2) 2.0))) (sin (/ (- lambda1 lambda2) 2.0))))

simplify5.1s

Counts

47 → 47

Iterations

Useful iterations: 5 (502.0ms)

Iter	Nodes	Cost
0	50	12456
1	79	11833
2	132	11673
3	260	10553
4	488	10553
5	982	10552
6	2381	10552
done	5000	10552

prune864.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 13.7b

regimes3.3s

Accuracy

0% (0.4b remaining)

Error of 13.7b against oracle of 13.3b and baseline of 13.7b

bsearch0.0ms

simplify17.0ms

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	39	1777
1	51	1777
done	51	1777

end0.0ms

sample19.5s

Algorithm

intervals

Results

14.1s	4731×	body	1280	valid
3.6s	1928×	body	640	valid
994.0ms	555×	body	320	valid
208.0ms	591×	body	80	valid
165.0ms	197×	body	160	valid