Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

456×

body

valid

simplify32.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	23	13
3	36	9
4	44	9
5	45	9
done	45	9

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3 (* y y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

6.0ms

(* 3 (* y y))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* 3 (* y y))

simplify22.9s

Counts

22 → 22

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	7	5
2	9	5
done	9	5
0	4	5
1	7	5
2	9	5
done	9	5
0	6	8
1	11	7
2	14	7
done	14	7
0	6	7
1	9	7
2	15	7
3	16	7
done	16	7
0	5	6
1	11	6
2	18	6
3	25	6
4	26	6
done	26	6
0	5	6
1	10	6
2	20	6
3	42	6
4	91	6
5	205	6
6	499	6
7	1480	6
done	5000	6
0	8	17
1	23	13
2	64	9
3	150	5
4	307	5
5	767	5
6	2080	5
done	5000	5
0	8	17
1	24	13
2	60	7
3	145	5
4	313	5
5	808	5
6	2206	5
done	5000	5
0	6	13
1	9	13
2	11	13
done	11	13
0	5	6
1	8	6
2	10	6
done	10	6
0	6	17
1	20	15
2	68	7
3	224	7
4	339	7
5	461	5
6	1092	5
7	3054	5
done	5001	5
0	5	6
1	8	6
2	10	6
done	10	6
0	5	6
1	8	6
2	10	6
done	10	6
0	4	4
1	5	4
done	5	4
0	4	4
1	5	4
done	5	4
0	3	3
1	4	3
done	4	3
0	5	6
1	8	6
2	10	6
done	10	6
0	5	6
1	8	6
2	10	6
done	10	6
0	4	5
1	7	5
2	9	5
done	9	5
0	5	5
1	11	5
2	27	5
3	32	5
4	38	5
5	48	5
6	69	5
7	128	5
8	335	5
9	1270	5
done	5000	5
0	5	5
1	11	5
2	27	5
3	32	5
4	38	5
5	48	5
6	69	5
7	128	5
8	335	5
9	1270	5
done	5000	5
0	5	5
1	11	5
2	27	5
3	32	5
4	38	5
5	48	5
6	69	5
7	128	5
8	335	5
9	1270	5
done	5000	5

prune44.0ms

Filtered

16 candidates to 22 candidates (-37.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	5	23

Merged error: 0.0b

Counts

23 → 5

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 3 y) y)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

6.0ms

(* (* 3 y) y)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* 3 y) y)

simplify23.9s

Counts

21 → 21

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	8	5
2	9	5
done	9	5
0	4	5
1	8	5
2	9	5
done	9	5
0	6	8
1	10	8
2	13	7
3	14	7
done	14	7
0	6	7
1	10	7
2	13	7
3	16	7
4	17	7
done	17	7
0	5	6
1	12	6
2	19	6
3	23	6
4	25	6
5	26	6
done	26	6
0	5	6
1	11	6
2	22	6
3	44	6
4	95	6
5	206	6
6	488	6
7	1399	6
done	5000	6
0	8	17
1	22	13
2	65	9
3	165	5
4	352	5
5	801	5
6	2137	5
done	5001	5
0	8	17
1	25	15
2	87	9
3	271	9
4	424	7
5	947	5
6	2613	5
done	5000	5
0	6	13
1	10	13
2	11	13
done	11	13
0	5	6
1	9	6
2	10	6
done	10	6
0	6	17
1	19	17
2	72	7
3	210	7
4	348	7
5	477	5
6	1059	5
7	2881	5
done	5000	5
0	5	6
1	9	6
2	10	6
done	10	6
0	5	6
1	9	6
2	10	6
done	10	6
0	6	9
1	12	9
2	25	9
3	37	9
done	37	9
0	5	6
1	9	6
2	15	6
done	15	6
0	5	5
1	11	3
2	23	3
done	23	3
0	2	3
done	2	3
0	5	5
1	11	5
2	27	5
3	32	5
4	38	5
5	48	5
6	69	5
7	128	5
8	335	5
9	1270	5
done	5000	5
0	5	5
1	11	5
2	27	5
3	32	5
4	38	5
5	48	5
6	69	5
7	128	5
8	335	5
9	1270	5
done	5000	5
0	5	5
1	11	5
2	27	5
3	32	5
4	38	5
5	48	5
6	69	5
7	128	5
8	335	5
9	1270	5
done	5000	5

prune38.0ms

Filtered

13 candidates to 21 candidates (-61.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	21	5	26

Merged error: 0.0b

Counts

26 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y))))
21.5b	(cbrt (* 3 (* y y)))
21.5b	(cbrt (* 3 (* y y)))
21.5b	(cbrt (* 3 (* y y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

7.0ms	(* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y))))
5.0ms	(cbrt (* 3 (* y y)))
5.0ms	(cbrt (* 3 (* y y)))
5.0ms	(cbrt (* 3 (* y y)))

series130.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y))))
30.0ms	(cbrt (* 3 (* y y)))
34.0ms	(cbrt (* 3 (* y y)))
30.0ms	(cbrt (* 3 (* y y)))

simplify57.6s

Counts

70 → 70

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	2	2
done	2	2
0	3	4
done	3	4
0	7	15
1	10	15
2	12	15
done	12	15
0	6	7
1	9	7
2	11	7
done	11	7
0	7	20
1	11	20
2	14	8
3	19	5
4	25	5
5	35	5
6	56	5
7	112	5
8	329	5
9	1254	5
done	5001	5
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	2	2
done	2	2
0	3	4
done	3	4
0	7	15
1	10	15
2	12	15
done	12	15
0	6	7
1	9	7
2	11	7
done	11	7
0	7	20
1	11	20
2	14	8
3	19	5
4	25	5
5	35	5
6	56	5
7	112	5
8	329	5
9	1254	5
done	5001	5
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	2	2
done	2	2
0	3	4
done	3	4
0	7	15
1	10	15
2	12	15
done	12	15
0	6	7
1	9	7
2	11	7
done	11	7
0	7	20
1	11	20
2	14	8
3	19	5
4	25	5
5	35	5
6	56	5
7	112	5
8	329	5
9	1254	5
done	5001	5
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	2	3
1	5	1
done	5	1
0	2	3
1	6	1
done	6	1
0	5	11
1	16	9
2	41	9
3	79	7
4	95	5
5	126	5
6	225	5
7	514	5
8	1503	5
done	5000	5
0	6	13
1	9	13
2	11	13
done	11	13
0	2	3
1	6	1
done	6	1
0	7	15
1	12	9
2	15	9
done	15	9
0	7	14
1	12	14
2	16	9
3	17	9
done	17	9
0	7	14
1	12	14
2	18	14
3	23	14
4	41	14
5	80	14
6	188	14
7	564	14
8	2246	14
done	5000	14
0	5	11
1	16	9
2	41	9
3	79	7
4	95	5
5	126	5
6	225	5
7	514	5
8	1503	5
done	5000	5
0	8	29
1	11	29
2	13	29
done	13	29
0	7	14
1	10	14
2	12	14
done	12	14
0	8	41
1	19	41
2	28	15
3	42	8
4	132	8
5	361	8
6	762	7
7	2389	5
done	5000	5
0	7	14
1	11	7
2	13	7
done	13	7
0	7	14
1	11	7
2	13	7
done	13	7
0	3	5
done	3	5
0	4	9
done	4	9
0	8	31
1	15	31
2	18	17
3	27	9
4	42	9
5	68	9
6	140	9
7	353	9
8	1265	9
done	5000	9
0	7	15
1	10	15
2	12	15
done	12	15
0	7	15
1	10	6
2	13	6
done	13	6
0	7	15
1	10	6
2	13	6
done	13	6
0	2	3
1	4	1
done	4	1
0	6	13
1	9	13
2	11	13
done	11	13
0	7	15
1	10	6
2	13	6
done	13	6
0	7	15
1	10	6
2	13	6
done	13	6
0	3	3
1	5	1
done	5	1
0	3	3
1	6	1
done	6	1
0	7	9
1	11	9
2	13	9
done	13	9
0	8	22
1	14	22
2	18	22
done	18	22
0	7	14
1	11	14
2	13	14
done	13	14
0	7	8
1	13	6
2	18	6
done	18	6
0	7	11
1	11	11
2	13	11
done	13	11
0	7	14
1	11	14
2	13	14
done	13	14
0	7	14
1	11	14
2	13	14
done	13	14
0	6	13
1	9	13
2	11	13
done	11	13
0	13	13
1	27	12
2	43	8
3	90	6
4	205	6
5	432	6
6	1218	6
7	4234	6
done	5000	6
0	14	15
1	26	13
2	50	11
3	139	8
4	305	6
5	708	6
6	2275	6
done	5000	6
0	15	15
1	27	14
2	48	12
3	135	9
4	348	8
5	975	8
6	3198	6
done	5000	6
0	13	13
1	27	12
2	43	8
3	90	6
4	205	6
5	432	6
6	1218	6
7	4234	6
done	5000	6
0	14	15
1	26	13
2	50	11
3	139	8
4	305	6
5	708	6
6	2275	6
done	5000	6
0	15	15
1	27	14
2	48	12
3	135	9
4	348	8
5	975	8
6	3198	6
done	5000	6
0	13	13
1	27	12
2	43	8
3	90	6
4	205	6
5	432	6
6	1218	6
7	4234	6
done	5000	6
0	14	15
1	26	13
2	50	11
3	139	8
4	305	6
5	708	6
6	2275	6
done	5000	6
0	15	15
1	27	14
2	48	12
3	135	9
4	348	8
5	975	8
6	3198	6
done	5000	6
0	15	15
1	33	14
2	63	10
3	151	8
4	458	8
5	1710	8
done	5000	8
0	16	17
1	32	15
2	70	13
3	195	10
4	512	8
5	1688	8
done	5001	8
0	17	17
1	33	16
2	68	14
3	194	11
4	557	10
5	1925	10
done	5000	10

prune133.0ms

Filtered

50 candidates to 70 candidates (-40.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	69	6	75

Merged error: 0.0b

Counts

75 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt 3) (cbrt (* y y)))
21.5b	(cbrt (* y y))
21.5b	(cbrt (* 3 (* y y)))
21.5b	(cbrt (* 3 (* y y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`cbrt-prod`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `associate-l`
5×	`pow1/3`
4×	`associate-r` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down`
1×	`prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 53

Calls

4 calls:

6.0ms	(* (cbrt 3) (cbrt (* y y)))
3.0ms	(cbrt (* y y))
5.0ms	(cbrt (* 3 (* y y)))
5.0ms	(cbrt (* 3 (* y y)))

series121.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt 3) (cbrt (* y y)))
29.0ms	(cbrt (* y y))
30.0ms	(cbrt (* 3 (* y y)))
31.0ms	(cbrt (* 3 (* y y)))

simplify52.3s

Counts

65 → 65

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	2	2
done	2	2
0	3	4
done	3	4
0	7	15
1	10	15
2	12	15
done	12	15
0	6	7
1	9	7
2	11	7
done	11	7
0	7	20
1	11	20
2	14	8
3	19	5
4	25	5
5	35	5
6	56	5
7	112	5
8	329	5
9	1254	5
done	5001	5
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	2	2
done	2	2
0	3	4
done	3	4
0	7	15
1	10	15
2	12	15
done	12	15
0	6	7
1	9	7
2	11	7
done	11	7
0	7	20
1	11	20
2	14	8
3	19	5
4	25	5
5	35	5
6	56	5
7	112	5
8	329	5
9	1254	5
done	5001	5
0	6	7
1	9	7
2	11	7
done	11	7
0	6	7
1	9	7
2	11	7
done	11	7
0	4	5
done	4	5
0	4	5
done	4	5
0	2	2
done	2	2
0	2	2
done	2	2
0	5	11
done	5	11
0	4	5
done	4	5
0	5	14
1	6	14
2	8	6
3	13	3
4	19	3
5	29	3
6	50	3
7	108	3
8	311	3
9	1229	3
done	5000	3
0	4	5
done	4	5
0	4	5
done	4	5
0	4	5
1	7	5
2	9	5
done	9	5
0	6	7
1	7	7
done	7	7
0	8	9
1	9	9
done	9	9
0	7	8
1	11	8
2	12	8
done	12	8
0	7	8
1	10	8
2	16	8
3	24	8
4	47	8
5	102	8
6	240	8
7	697	8
8	2710	8
done	5000	8
0	4	5
1	7	5
2	9	5
done	9	5
0	8	17
1	9	17
done	9	17
0	7	8
1	8	8
done	8	8
0	8	23
1	19	23
2	47	9
3	90	9
4	108	5
5	150	5
6	236	5
7	453	5
8	1162	5
9	3840	5
done	5001	5
0	7	8
1	8	8
done	8	8
0	7	8
1	8	8
done	8	8
0	6	6
1	7	6
done	7	6
0	6	6
1	7	6
done	7	6
0	8	9
1	9	9
done	9	9
0	8	9
1	9	9
done	9	9
0	6	6
1	7	6
done	7	6
0	6	6
1	7	6
done	7	6
0	8	9
1	9	9
done	9	9
0	8	9
1	9	9
done	9	9
0	5	5
1	6	5
done	6	5
0	8	14
1	11	14
2	13	14
done	13	14
0	7	8
1	8	8
done	8	8
0	4	4
1	7	2
2	10	2
done	10	2
0	7	8
1	8	8
done	8	8
0	7	8
1	8	8
done	8	8
0	6	7
1	7	7
done	7	7
0	7	8
1	8	8
done	8	8
0	7	8
1	8	8
done	8	8
0	6	7
1	7	7
done	7	7
0	13	13
1	27	12
2	43	8
3	90	6
4	205	6
5	432	6
6	1218	6
7	4234	6
done	5000	6
0	14	15
1	26	13
2	50	11
3	139	8
4	305	6
5	708	6
6	2275	6
done	5000	6
0	15	15
1	27	14
2	48	12
3	135	9
4	348	8
5	975	8
6	3198	6
done	5000	6
0	13	13
1	27	12
2	43	8
3	90	6
4	205	6
5	432	6
6	1218	6
7	4234	6
done	5000	6
0	14	15
1	26	13
2	50	11
3	139	8
4	305	6
5	708	6
6	2275	6
done	5000	6
0	15	15
1	27	14
2	48	12
3	135	9
4	348	8
5	975	8
6	3198	6
done	5000	6
0	10	10
1	23	9
2	39	5
3	79	3
4	156	3
5	314	3
6	887	3
7	2959	3
done	5000	3
0	11	12
1	22	10
2	46	8
3	131	5
4	286	3
5	617	3
6	1980	3
done	5001	3
0	12	12
1	23	11
2	44	9
3	127	6
4	325	5
5	879	5
6	2879	3
done	5000	3
0	13	13
1	27	12
2	43	8
3	90	6
4	205	6
5	432	6
6	1218	6
7	4234	6
done	5000	6
0	14	15
1	26	13
2	50	11
3	139	8
4	305	6
5	708	6
6	2275	6
done	5000	6
0	15	15
1	27	14
2	48	12
3	135	9
4	348	8
5	975	8
6	3198	6
done	5000	6

prune124.0ms

Filtered

52 candidates to 65 candidates (-25.0%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

regimes188.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	9	9
done	9	9

end0.0ms

sample897.0ms

Algorithm

intervals

Results

464.0ms

14181×

body

valid

Details

sample30.0ms

simplify32.0ms

prune6.0ms

localize6.0ms

rewrite7.0ms

series3.0ms

simplify22.9s

prune44.0ms

localize6.0ms

rewrite6.0ms

series3.0ms

simplify23.9s

prune38.0ms

localize11.0ms

rewrite24.0ms

series130.0ms

simplify57.6s

prune133.0ms

localize18.0ms

rewrite21.0ms

series121.0ms

simplify52.3s

prune124.0ms

regimes188.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample897.0ms

Profiling