Details

sample36.0ms

Algorithm

intervals

Results

10.0ms	256×	pre	80	true
7.0ms	256×	body	80	valid

simplify77.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	17	9
2	51	9
3	126	9
4	197	9
5	208	9
done	208	9

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: 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)))

rewrite15.0ms

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))
8.0ms	(+ a (+ b (+ c d)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ b (+ c d))
10.0ms	(+ a (+ b (+ c d)))

simplify736.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	56	350
1	171	324
2	584	307
3	2902	307
done	5000	307

prune72.0ms

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))

series10.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify559.0ms

Counts

20 → 20

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	39	207
1	119	198
2	422	181
3	2098	181
done	5000	181

prune61.0ms

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

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))

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:

9.0ms	(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))

simplify1.3s

Counts

52 → 52

Iterations

Useful iterations: 3 (316.0ms)

Iter	Nodes	Cost
0	82	767
1	218	620
2	778	554
3	4566	545
done	5000	545

prune110.0ms

Filtered

29 candidates to 52 candidates (-79.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	45	7	52
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	48	14	62

Merged error: 1.9b

Counts

62 → 14

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-prod`
78×	`*-un-lft-identity`
42×	`distribute-lft-out`
39×	`unpow-prod-down` `cube-prod`
15×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`add-log-exp`
6×	`cube-div` `cbrt-div` `sum-log`
4×	`cube-mult` `unpow3` `sqr-pow`
3×	`pow1` `add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`pow1/3` `rem-cbrt-cube`
1×	`+-commutative` `associate-+r+`

Counts

3 → 105

Calls

3 calls:

14.0ms	(cbrt (pow (cbrt (pow (+ d (+ a (+ b c))) 3)) 3))
9.0ms	(cbrt (pow (+ d (+ a (+ b c))) 3))
12.0ms	(+ d (+ a (+ b c)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify522.0ms

Counts

114 → 114

Iterations

Useful iterations: done (518.0ms)

Iter	Nodes	Cost
0	129	2291
1	326	1524
2	1084	1353
done	5002	1347

prune106.0ms

Filtered

49 candidates to 114 candidates (-132.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	109	5	114
Fresh	7	5	12
Picked	1	0	1
Done	0	1	1
Total	117	11	128

Merged error: 0.4b

Counts

128 → 11

regimes373.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	15
1	18	15
done	18	15

end0.0ms

sample964.0ms

Algorithm

intervals

Results

319.0ms	8000×	pre	80	true
236.0ms	8000×	body	80	valid

Details

sample36.0ms

simplify77.0ms

prune4.0ms

localize7.0ms

rewrite15.0ms

series15.0ms

simplify736.0ms

prune72.0ms

localize7.0ms

rewrite10.0ms

series10.0ms

simplify559.0ms

prune61.0ms

localize10.0ms

rewrite20.0ms

series24.0ms

simplify1.3s

prune110.0ms

localize13.0ms

rewrite40.0ms

series37.0ms

simplify522.0ms

prune106.0ms

regimes373.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample964.0ms

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