Details

sample134.0ms

Algorithm

intervals

Results

36.0ms	77×	body	1280	valid
27.0ms	89×	body	640	valid
20.0ms	275×	body	80	valid
10.0ms	48×	body	320	valid
4.0ms	25×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	15
1	23	15
2	41	15
3	75	15
4	124	15
5	189	15
6	324	15
7	480	15
8	780	15
9	1211	15
10	3165	15
11	4433	15
12	4831	15
done	5000	15

prune5.0ms

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:

9.0ms	(* 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)))

series46.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* J (- (exp l) (exp (neg l))))
23.0ms	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2.0)))
6.0ms	(- (exp l) (exp (neg l)))

simplify864.0ms

Counts

69 → 69

Iterations

Useful iterations: 3 (309.0ms)

Iter	Nodes	Cost
0	115	899
1	273	874
2	852	738
3	3384	735
done	5001	735

prune117.0ms

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))
8.0ms	(* (* 2 (* J l)) (cos (/ K 2.0)))

series17.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify1.3s

Counts

45 → 45

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	70	497
1	182	472
2	745	376
3	3963	376
done	5000	376

prune89.0ms

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)

rewrite22.0ms

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:

9.0ms	(* 2 (* J (* (cos (* 0.5 K)) l)))
6.0ms	(* J (* (cos (* 0.5 K)) l))
5.0ms	(* (cos (* 0.5 K)) l)

series40.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(* 2 (* J (* (cos (* 0.5 K)) l)))
13.0ms	(* J (* (cos (* 0.5 K)) l))
12.0ms	(* (cos (* 0.5 K)) l)

simplify1.1s

Counts

66 → 66

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	83	743
1	199	723
2	728	579
3	3602	579
done	5000	579

prune118.0ms

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

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)))
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)

series36.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(* 2 (* (* J (cos (* 0.5 K))) l))
8.0ms	(* J (cos (* 0.5 K)))
13.0ms	(* (* J (cos (* 0.5 K))) l)

simplify1.3s

Counts

66 → 66

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	82	743
1	201	721
2	828	577
3	4255	577
done	5000	577

prune72.0ms

Filtered

38 candidates to 66 candidates (-73.7%)

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

regimes728.0ms

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

sample4.0s

Algorithm

intervals

Results

1.3s	2696×	body	1280	valid
850.0ms	2697×	body	640	valid
601.0ms	8444×	body	80	valid
317.0ms	1458×	body	320	valid
117.0ms	783×	body	160	valid

Details

sample134.0ms

simplify1.6s

prune5.0ms

localize13.0ms

rewrite26.0ms

series46.0ms

simplify864.0ms

prune117.0ms

localize10.0ms

rewrite14.0ms

series17.0ms

simplify1.3s

prune89.0ms

localize10.0ms

rewrite22.0ms

series40.0ms

simplify1.1s

prune118.0ms

localize10.0ms

rewrite21.0ms

series36.0ms

simplify1.3s

prune72.0ms

regimes728.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.0s

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