Details

sample130.0ms

Algorithm

intervals

Results

35.0ms	77×	body	1280	valid
26.0ms	89×	body	640	valid
18.0ms	275×	body	80	valid
15.0ms	48×	body	320	valid
3.0ms	25×	body	160	valid

simplify15.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	15
1	23	15
2	41	15
3	72	15
4	121	15
5	184	15
6	260	15
7	367	15
8	499	15
9	915	15
10	2264	15
11	2952	15
12	3305	15
13	4244	15
14	4529	15
done	4529	15

prune4.0ms

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: 18.4b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(* J (- (exp l) (exp (neg l))))
0.0b	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
5.7b	(- (exp l) (exp (neg l)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
8×	`associate-r`
6×	`add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`sub-neg` `flip3--` `flip--`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-l/` `-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`diff-log` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

8.0ms	(* J (- (exp l) (exp (neg l))))
10.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
6.0ms	(- (exp l) (exp (neg l)))

series44.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* J (- (exp l) (exp (neg l))))
23.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
5.0ms	(- (exp l) (exp (neg l)))

simplify2.1s

Counts

69 → 69

Iterations

Useful iterations: 3 (667.0ms)

Iter	Nodes	Cost
0	115	899
1	266	874
2	765	742
3	2743	735
done	5000	735

prune115.0ms

Filtered

47 candidates to 69 candidates (-46.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	4	70

Merged error: 0.1b

Counts

70 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2 (* J l))
0.1b	(* (* 2 (* J l)) (cos (/ K 2.0)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
2×	`*-commutative` `add-log-exp`

Counts

2 → 39

Calls

2 calls:

5.0ms	(* 2 (* J l))
7.0ms	(* (* 2 (* J l)) (cos (/ K 2.0)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* 2 (* J l))
13.0ms	(* (* 2 (* J l)) (cos (/ K 2.0)))

simplify3.1s

Counts

45 → 45

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	70	497
1	179	472
2	695	376
3	3744	376
done	5000	376

prune87.0ms

Filtered

24 candidates to 45 candidates (-87.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	40	5	45
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	40	9	49

Merged error: 0.0b

Counts

49 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2 (* J (* (cos (* 0.5 K)) l)))
0.1b	(* J (* (cos (* 0.5 K)) l))
0.1b	(* (cos (* 0.5 K)) l)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `associate-l`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`associate-r`
3×	`*-commutative` `add-log-exp`
1×	`unswap-sqr`

Counts

3 → 57

Calls

3 calls:

8.0ms	(* 2 (* J (* (cos (* 0.5 K)) l)))
6.0ms	(* J (* (cos (* 0.5 K)) l))
8.0ms	(* (cos (* 0.5 K)) l)

series36.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* 2 (* J (* (cos (* 0.5 K)) l)))
13.0ms	(* J (* (cos (* 0.5 K)) l))
8.0ms	(* (cos (* 0.5 K)) l)

simplify2.6s

Counts

66 → 66

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	83	743
1	197	723
2	709	579
3	3478	579
done	5000	579

prune113.0ms

Filtered

38 candidates to 66 candidates (-73.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	65	10	75

Merged error: 0b

Counts

75 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2 (* (* J (cos (* 0.5 K))) l))
0.1b	(* J (cos (* 0.5 K)))
0.1b	(* (* J (cos (* 0.5 K))) l)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
3×	`*-commutative` `add-log-exp`
1×	`unswap-sqr`

Counts

3 → 57

Calls

3 calls:

8.0ms	(* 2 (* (* J (cos (* 0.5 K))) l))
5.0ms	(* J (cos (* 0.5 K)))
6.0ms	(* (* J (cos (* 0.5 K))) l)

series35.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(* 2 (* (* J (cos (* 0.5 K))) l))
8.0ms	(* J (cos (* 0.5 K)))
12.0ms	(* (* J (cos (* 0.5 K))) l)

simplify2.9s

Counts

66 → 66

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	82	743
1	197	715
2	755	577
3	3678	577
done	5000	577

prune72.0ms

Filtered

40 candidates to 66 candidates (-65.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	66	10	76

Merged error: 0b

Counts

76 → 10

regimes716.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	16	12
done	16	12

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.2s	2696×	body	1280	valid
823.0ms	2697×	body	640	valid
573.0ms	8444×	body	80	valid
308.0ms	1458×	body	320	valid
115.0ms	783×	body	160	valid

Details

sample130.0ms

simplify15.2s

prune4.0ms

localize13.0ms

rewrite26.0ms

series44.0ms

simplify2.1s

prune115.0ms

localize10.0ms

rewrite14.0ms

series16.0ms

simplify3.1s

prune87.0ms

localize10.0ms

rewrite24.0ms

series36.0ms

simplify2.6s

prune113.0ms

localize11.0ms

rewrite21.0ms

series35.0ms

simplify2.9s

prune72.0ms

regimes716.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.9s

Profiling