Details

sample32.0ms

Algorithm

intervals

Results

10.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify118.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	17	9
2	51	9
3	124	9
4	183	9
5	191	9
done	191	9

prune3.0ms

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: 3.7b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b	(+ b (+ c d))
2.6b	(+ a (+ b (+ c d)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `add-log-exp`
9×	`sum-log` `distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

2 → 32

Calls

2 calls:

6.0ms	(+ b (+ c d))
11.0ms	(+ a (+ b (+ c d)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ b (+ c d))
9.0ms	(+ a (+ b (+ c d)))

simplify1.0s

Counts

38 → 38

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	56	350
1	171	321
2	575	307
3	2864	307
done	5001	307

prune74.0ms

Filtered

26 candidates to 38 candidates (-46.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	7	39

Merged error: 2.2b

Counts

39 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

2.6b	(+ a (+ (+ b c) d))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
6×	`sum-log` `distribute-lft-out`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 17

Calls

1 calls:

9.0ms

(+ a (+ (+ b c) d))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(+ a (+ (+ b c) d))

simplify910.0ms

Counts

20 → 20

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	39	207
1	113	195
2	414	181
3	2179	181
done	5001	181

prune54.0ms

Filtered

13 candidates to 20 candidates (-53.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	14	6	20
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	17	10	27

Merged error: 2.0b

Counts

27 → 10

localize13.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.6b	(+ a (+ (+ b c) d))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
18×	`cbrt-prod` `distribute-lft-out`
11×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod` `sum-log`
5×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`pow1` `add-exp-log` `cube-div` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `cube-mult` `associate-+r+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 46

Calls

2 calls:

10.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
9.0ms	(+ a (+ (+ b c) d))

series24.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(cbrt (pow (+ a (+ (+ b c) d)) 3))
10.0ms	(+ a (+ (+ b c) d))

simplify1.7s

Counts

52 → 52

Iterations

Useful iterations: 3 (442.0ms)

Iter	Nodes	Cost
0	82	767
1	210	586
2	743	548
3	4450	545
done	5000	545

prune116.0ms

Filtered

29 candidates to 52 candidates (-79.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	43	9	52
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	46	16	62

Merged error: 1.9b

Counts

62 → 16

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b	(cbrt (pow (+ (+ a (+ b c)) d) 3))
2.6b	(+ (+ a (+ b c)) d)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
18×	`cbrt-prod` `distribute-lft-out`
11×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod` `sum-log`
5×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`pow1` `add-exp-log` `cube-div` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `cube-mult` `associate-+l+` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

2 → 46

Calls

2 calls:

10.0ms	(cbrt (pow (+ (+ a (+ b c)) d) 3))
12.0ms	(+ (+ a (+ b c)) d)

series23.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(cbrt (pow (+ (+ a (+ b c)) d) 3))
9.0ms	(+ (+ a (+ b c)) d)

simplify1.6s

Counts

52 → 52

Iterations

Useful iterations: 3 (415.0ms)

Iter	Nodes	Cost
0	82	767
1	204	594
2	696	556
3	4168	545
done	5000	545

prune58.0ms

Filtered

31 candidates to 52 candidates (-67.7%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	6	8	14
Picked	1	0	1
Done	0	1	1
Total	52	16	68

Merged error: 1.6b

Counts

68 → 16

regimes860.0ms

Accuracy

0% (1.1b remaining)

Error of 2.7b against oracle of 1.7b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
done	13	9

end0.0ms

sample917.0ms

Algorithm

intervals

Results

313.0ms	8000×	pre	80	true
225.0ms	8000×	body	80	valid

Details

sample32.0ms

simplify118.0ms

prune3.0ms

localize7.0ms

rewrite18.0ms

series14.0ms

simplify1.0s

prune74.0ms

localize7.0ms

rewrite10.0ms

series9.0ms

simplify910.0ms

prune54.0ms

localize13.0ms

rewrite20.0ms

series24.0ms

simplify1.7s

prune116.0ms

localize10.0ms

rewrite25.0ms

series23.0ms

simplify1.6s

prune58.0ms

regimes860.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample917.0ms

Profiling