Details

sample47.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
11.0ms	227×	body	80	nan

simplify26.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	11	14
1	21	12
2	31	12
3	37	12
4	39	12
done	39	12

prune8.0ms

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: 20.3b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* x (+ y z))
1.0b	(+ (* y z) (* x (+ y z)))
19.3b	(sqrt (+ (* y z) (* x (+ y z))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity`
6×	`pow1` `add-cube-cbrt`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`associate-r`
3×	`flip3-+` `associate-l` `sqrt-prod` `flip-+`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `sqrt-div` `associate-*r/`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

3 → 51

Calls

3 calls:

7.0ms	(* x (+ y z))
5.0ms	(+ (* y z) (* x (+ y z)))
4.0ms	(sqrt (+ (* y z) (* x (+ y z))))

series56.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(* x (+ y z))
13.0ms	(+ (* y z) (* x (+ y z)))
36.0ms	(sqrt (+ (* y z) (* x (+ y z))))

simplify48.9s

Counts

60 → 60

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	10	23
1	20	23
2	25	23
3	33	23
4	37	23
done	37	23
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	10	32
1	21	20
2	37	12
3	82	12
4	120	12
5	144	12
6	169	12
7	234	12
8	449	12
9	1390	12
done	5000	12
0	10	22
1	21	11
2	26	11
3	34	11
4	38	11
done	38	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	2	2
1	4	1
done	4	1
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	11	14
1	40	14
2	120	14
3	429	14
4	1109	14
5	2816	14
done	5000	14
0	12	30
1	47	24
2	163	24
3	456	24
4	1386	24
5	3749	24
done	5000	24
0	10	20
1	38	20
2	112	20
3	320	20
4	892	20
5	2341	20
done	5001	20
0	8	10
1	19	10
2	32	10
3	58	10
4	76	10
5	96	10
6	141	10
7	226	10
8	292	10
9	303	10
10	304	10
done	304	10
0	3	3
1	6	1
done	6	1
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	25	10
2	43	10
3	92	10
4	246	10
5	920	10
done	5000	10
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	8	10
1	21	10
2	38	10
3	74	10
4	154	10
5	530	10
6	2776	10
done	5000	10
0	9	21
1	19	21
2	24	21
3	32	21
4	36	21
done	36	21
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	9	29
1	32	29
2	113	11
3	570	11
4	2934	11
done	5001	11
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	10	13
1	39	13
2	119	13
3	428	13
4	1131	13
5	2850	13
done	5000	13
0	11	29
1	46	23
2	162	23
3	455	23
4	1379	23
5	3750	23
done	5000	23
0	9	19
1	37	19
2	111	19
3	320	19
4	891	19
5	2332	19
done	5001	19
0	7	9
1	18	9
2	31	9
3	57	9
4	74	9
5	94	9
6	139	9
7	224	9
8	290	9
9	301	9
10	302	9
done	302	9
0	6	7
1	9	7
2	13	5
3	15	5
done	15	5
0	6	7
1	11	5
2	13	5
done	13	5
0	5	5
1	13	5
2	14	5
done	14	5
0	7	7
1	9	7
done	9	7
0	6	6
1	17	6
2	19	6
done	19	6
0	6	6
1	16	6
2	26	6
3	43	6
4	76	6
5	188	6
6	504	6
7	1671	6
done	5000	6
0	9	17
1	29	17
2	110	9
3	373	9
4	1303	7
5	4152	7
done	5001	7
0	7	13
1	15	13
2	16	13
done	16	13
0	6	6
1	14	6
2	15	6
done	15	6
0	7	17
1	25	17
2	97	7
3	352	7
4	820	7
5	2225	7
done	5000	7
0	6	6
1	14	6
2	15	6
done	15	6
0	6	6
1	14	6
2	15	6
done	15	6
0	7	7
1	9	7
done	9	7
0	7	7
1	9	7
done	9	7
0	3	3
1	4	3
done	4	3
0	3	3
1	4	3
done	4	3
0	3	3
1	4	3
done	4	3
0	3	3
1	4	3
done	4	3
0	7	11
1	11	11
2	13	11
done	13	11
0	6	6
1	8	6
done	8	6
0	3	3
1	6	1
done	6	1
0	3	3
1	6	1
done	6	1
0	6	6
1	14	6
2	15	6
done	15	6
0	6	6
1	14	6
2	15	6
done	15	6
0	5	5
1	13	5
2	14	5
done	14	5
0	8	9
1	29	9
2	63	9
3	105	9
4	194	9
5	477	9
6	1523	9
done	5000	9
0	7	9
1	13	9
2	30	9
3	76	9
4	159	9
5	245	9
6	400	9
7	771	9
8	3375	9
done	5000	9
0	10	11
1	19	11
2	31	11
3	37	9
4	39	9
done	39	9
0	18	27
1	48	27
2	137	25
3	446	25
4	1932	21
done	5000	21
0	18	27
1	48	27
2	132	25
3	422	25
4	1442	21
5	4660	19
done	5000	19
0	8	11
1	15	11
2	27	9
3	35	9
4	37	9
done	37	9
0	8	11
1	15	11
2	27	9
3	35	9
4	37	9
done	37	9
0	8	11
1	15	11
2	27	9
3	35	9
4	37	9
done	37	9
0	6	7
1	11	5
2	13	5
done	13	5
0	6	7
1	11	5
2	13	5
done	13	5
0	6	7
1	11	5
2	13	5
done	13	5

prune113.0ms

Filtered

46 candidates to 60 candidates (-30.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	8	61

Merged error: 20.2b

Counts

61 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* y z) (* x (+ y z)))
1.0b	(+ (* y z) (* x (+ y z)))
19.3b	(sqrt (+ (* y z) (* x (+ y z))))
19.3b	(sqrt (+ (* y z) (* x (+ y z))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `associate-+r+` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 56

Calls

4 calls:

5.0ms	(+ (* y z) (* x (+ y z)))
5.0ms	(+ (* y z) (* x (+ y z)))
4.0ms	(sqrt (+ (* y z) (* x (+ y z))))
5.0ms	(sqrt (+ (* y z) (* x (+ y z))))

series96.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (* y z) (* x (+ y z)))
8.0ms	(+ (* y z) (* x (+ y z)))
38.0ms	(sqrt (+ (* y z) (* x (+ y z))))
42.0ms	(sqrt (+ (* y z) (* x (+ y z))))

simplify1.1min

Counts

68 → 68

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	10	23
1	20	23
2	25	23
3	33	23
4	37	23
done	37	23
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	10	32
1	21	20
2	37	12
3	82	12
4	120	12
5	144	12
6	169	12
7	234	12
8	449	12
9	1390	12
done	5000	12
0	10	22
1	21	11
2	26	11
3	34	11
4	38	11
done	38	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	2	2
1	4	1
done	4	1
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	11	14
1	40	14
2	120	14
3	429	14
4	1109	14
5	2816	14
done	5000	14
0	12	30
1	47	24
2	163	24
3	456	24
4	1386	24
5	3749	24
done	5000	24
0	10	20
1	38	20
2	112	20
3	320	20
4	892	20
5	2341	20
done	5001	20
0	8	10
1	19	10
2	32	10
3	58	10
4	76	10
5	96	10
6	141	10
7	226	10
8	292	10
9	303	10
10	304	10
done	304	10
0	3	3
1	6	1
done	6	1
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	10	23
1	20	23
2	25	23
3	33	23
4	37	23
done	37	23
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	10	32
1	21	20
2	37	12
3	82	12
4	120	12
5	144	12
6	169	12
7	234	12
8	449	12
9	1390	12
done	5000	12
0	10	22
1	21	11
2	26	11
3	34	11
4	38	11
done	38	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	2	2
1	4	1
done	4	1
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	11	14
1	40	14
2	120	14
3	429	14
4	1109	14
5	2816	14
done	5000	14
0	12	30
1	47	24
2	163	24
3	456	24
4	1386	24
5	3749	24
done	5000	24
0	10	20
1	38	20
2	112	20
3	320	20
4	892	20
5	2341	20
done	5001	20
0	8	10
1	19	10
2	32	10
3	58	10
4	76	10
5	96	10
6	141	10
7	226	10
8	292	10
9	303	10
10	304	10
done	304	10
0	3	3
1	6	1
done	6	1
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	25	10
2	43	10
3	92	10
4	246	10
5	920	10
done	5000	10
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	8	10
1	21	10
2	38	10
3	74	10
4	154	10
5	530	10
6	2776	10
done	5000	10
0	9	21
1	19	21
2	24	21
3	32	21
4	36	21
done	36	21
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	9	29
1	32	29
2	113	11
3	570	11
4	2934	11
done	5001	11
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	10	13
1	39	13
2	119	13
3	428	13
4	1131	13
5	2850	13
done	5000	13
0	11	29
1	46	23
2	162	23
3	455	23
4	1379	23
5	3750	23
done	5000	23
0	9	19
1	37	19
2	111	19
3	320	19
4	891	19
5	2332	19
done	5001	19
0	7	9
1	18	9
2	31	9
3	57	9
4	74	9
5	94	9
6	139	9
7	224	9
8	290	9
9	301	9
10	302	9
done	302	9
0	6	7
1	9	7
2	13	5
3	15	5
done	15	5
0	6	7
1	11	5
2	13	5
done	13	5
0	9	11
1	25	10
2	43	10
3	92	10
4	246	10
5	920	10
done	5000	10
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	8	10
1	21	10
2	38	10
3	74	10
4	154	10
5	530	10
6	2776	10
done	5000	10
0	9	21
1	19	21
2	24	21
3	32	21
4	36	21
done	36	21
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	9	29
1	32	29
2	113	11
3	570	11
4	2934	11
done	5001	11
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	10	13
1	39	13
2	119	13
3	428	13
4	1131	13
5	2850	13
done	5000	13
0	11	29
1	46	23
2	162	23
3	455	23
4	1379	23
5	3750	23
done	5000	23
0	9	19
1	37	19
2	111	19
3	320	19
4	891	19
5	2332	19
done	5001	19
0	7	9
1	18	9
2	31	9
3	57	9
4	74	9
5	94	9
6	139	9
7	224	9
8	290	9
9	301	9
10	302	9
done	302	9
0	6	7
1	9	7
2	13	5
3	15	5
done	15	5
0	6	7
1	11	5
2	13	5
done	13	5
0	10	11
1	19	11
2	31	11
3	37	9
4	39	9
done	39	9
0	18	27
1	48	27
2	137	25
3	446	25
4	1932	21
done	5000	21
0	18	27
1	48	27
2	132	25
3	422	25
4	1442	21
5	4660	19
done	5000	19
0	10	11
1	19	11
2	31	11
3	37	9
4	39	9
done	39	9
0	18	27
1	48	27
2	137	25
3	446	25
4	1932	21
done	5000	21
0	18	27
1	48	27
2	132	25
3	422	25
4	1442	21
5	4660	19
done	5000	19
0	8	11
1	15	11
2	27	9
3	35	9
4	37	9
done	37	9
0	8	11
1	15	11
2	27	9
3	35	9
4	37	9
done	37	9
0	8	11
1	15	11
2	27	9
3	35	9
4	37	9
done	37	9
0	8	11
1	15	11
2	27	9
3	35	9
4	37	9
done	37	9
0	8	11
1	15	11
2	27	9
3	35	9
4	37	9
done	37	9
0	8	11
1	15	11
2	27	9
3	35	9
4	37	9
done	37	9

prune113.0ms

Filtered

56 candidates to 68 candidates (-21.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	70	6	76

Merged error: 20.2b

Counts

76 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* y z) (* x (+ y z)))
19.3b	(sqrt (+ (* y z) (* x (+ y z))))
19.8b	(cbrt (+ (* y z) (* x (+ y z))))
19.8b	(cbrt (+ (* y z) (* x (+ y z))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `add-log-exp`
5×	`pow1`
4×	`add-exp-log` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`sqrt-prod`
2×	`associate-+r+` `pow1/3` `sqrt-div`
1×	`+-commutative` `distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 54

Calls

4 calls:

6.0ms	(+ (* y z) (* x (+ y z)))
5.0ms	(sqrt (+ (* y z) (* x (+ y z))))
4.0ms	(cbrt (+ (* y z) (* x (+ y z))))
4.0ms	(cbrt (+ (* y z) (* x (+ y z))))

series183.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (* y z) (* x (+ y z)))
41.0ms	(sqrt (+ (* y z) (* x (+ y z))))
65.0ms	(cbrt (+ (* y z) (* x (+ y z))))
68.0ms	(cbrt (+ (* y z) (* x (+ y z))))

simplify1.2min

Counts

66 → 66

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	10	22
1	20	22
2	25	22
3	33	22
4	37	22
done	37	22
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	2	2
1	4	1
done	4	1
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	11	14
1	40	14
2	120	14
3	429	14
4	1109	14
5	2816	14
done	5000	14
0	12	30
1	47	24
2	163	24
3	456	24
4	1386	24
5	3749	24
done	5000	24
0	10	20
1	38	20
2	112	20
3	320	20
4	892	20
5	2341	20
done	5001	20
0	8	10
1	19	10
2	32	10
3	58	10
4	76	10
5	96	10
6	141	10
7	226	10
8	292	10
9	303	10
10	304	10
done	304	10
0	10	23
1	20	23
2	25	23
3	33	23
4	37	23
done	37	23
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	10	32
1	21	32
2	28	12
3	41	9
4	51	9
5	61	9
6	84	9
7	149	9
8	360	9
9	1290	9
done	5000	9
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	10	22
1	20	22
2	25	22
3	33	22
4	37	22
done	37	22
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	2	2
1	4	1
done	4	1
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	11	14
1	40	14
2	120	14
3	429	14
4	1109	14
5	2816	14
done	5000	14
0	12	30
1	47	24
2	163	24
3	456	24
4	1386	24
5	3749	24
done	5000	24
0	10	20
1	38	20
2	112	20
3	320	20
4	892	20
5	2341	20
done	5001	20
0	8	10
1	19	10
2	32	10
3	58	10
4	76	10
5	96	10
6	141	10
7	226	10
8	292	10
9	303	10
10	304	10
done	304	10
0	10	23
1	20	23
2	25	23
3	33	23
4	37	23
done	37	23
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	10	32
1	21	32
2	28	12
3	41	9
4	51	9
5	61	9
6	84	9
7	149	9
8	360	9
9	1290	9
done	5000	9
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	10	23
1	20	23
2	25	23
3	33	23
4	37	23
done	37	23
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	10	32
1	21	20
2	37	12
3	82	12
4	120	12
5	144	12
6	169	12
7	234	12
8	449	12
9	1390	12
done	5000	12
0	10	22
1	21	11
2	26	11
3	34	11
4	38	11
done	38	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	2	2
1	4	1
done	4	1
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	11	14
1	40	14
2	120	14
3	429	14
4	1109	14
5	2816	14
done	5000	14
0	12	30
1	47	24
2	163	24
3	456	24
4	1386	24
5	3749	24
done	5000	24
0	10	20
1	38	20
2	112	20
3	320	20
4	892	20
5	2341	20
done	5001	20
0	8	10
1	19	10
2	32	10
3	58	10
4	76	10
5	96	10
6	141	10
7	226	10
8	292	10
9	303	10
10	304	10
done	304	10
0	3	3
1	6	1
done	6	1
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	19	11
2	24	11
3	32	11
4	36	11
done	36	11
0	9	11
1	25	10
2	43	10
3	92	10
4	246	10
5	920	10
done	5000	10
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	8	10
1	21	10
2	38	10
3	74	10
4	154	10
5	530	10
6	2776	10
done	5000	10
0	9	21
1	19	21
2	24	21
3	32	21
4	36	21
done	36	21
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	9	29
1	32	29
2	113	11
3	570	11
4	2934	11
done	5001	11
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	8	10
1	18	10
2	23	10
3	31	10
4	35	10
done	35	10
0	10	13
1	39	13
2	119	13
3	428	13
4	1131	13
5	2850	13
done	5000	13
0	11	29
1	46	23
2	162	23
3	455	23
4	1379	23
5	3750	23
done	5000	23
0	9	19
1	37	19
2	111	19
3	320	19
4	891	19
5	2332	19
done	5001	19
0	7	9
1	18	9
2	31	9
3	57	9
4	74	9
5	94	9
6	139	9
7	224	9
8	290	9
9	301	9
10	302	9
done	302	9
0	6	7
1	9	7
2	13	5
3	15	5
done	15	5
0	6	7
1	11	5
2	13	5
done	13	5
0	11	11
1	26	10
2	54	8
3	108	7
4	179	4
5	343	4
6	866	4
7	2533	4
done	5000	4
0	13	15
1	29	12
2	70	10
3	184	7
4	308	4
5	553	4
6	1027	4
7	2475	4
done	5000	4
0	14	15
1	29	14
2	66	13
3	200	12
4	631	10
5	1739	8
6	3674	4
done	5000	4
0	11	11
1	26	10
2	54	8
3	108	7
4	179	4
5	343	4
6	866	4
7	2533	4
done	5000	4
0	13	15
1	29	12
2	70	10
3	184	7
4	308	4
5	553	4
6	1027	4
7	2475	4
done	5000	4
0	14	15
1	29	14
2	66	13
3	200	12
4	631	10
5	1739	8
6	3674	4
done	5000	4
0	10	11
1	19	11
2	31	11
3	37	9
4	39	9
done	39	9
0	18	27
1	48	27
2	137	25
3	446	25
4	1932	21
done	5000	21
0	18	27
1	48	27
2	132	25
3	422	25
4	1442	21
5	4660	19
done	5000	19
0	8	11
1	15	11
2	27	9
3	35	9
4	37	9
done	37	9
0	8	11
1	15	11
2	27	9
3	35	9
4	37	9
done	37	9
0	8	11
1	15	11
2	27	9
3	35	9
4	37	9
done	37	9

prune126.0ms

Filtered

56 candidates to 66 candidates (-17.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	66	6	72

Merged error: 20.2b

Counts

72 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

14.6b	(cbrt (* x (+ y z)))
14.6b	(cbrt (* x (+ y z)))
14.6b	(cbrt (* x (+ y z)))
19.3b	(sqrt (+ (* y z) (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z))))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `cbrt-div` `associate-*r/`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 48

Calls

4 calls:

6.0ms	(cbrt (* x (+ y z)))
6.0ms	(cbrt (* x (+ y z)))
5.0ms	(cbrt (* x (+ y z)))
4.0ms	(sqrt (+ (* y z) (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z))))))

series141.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(cbrt (* x (+ y z)))
34.0ms	(cbrt (* x (+ y z)))
37.0ms	(cbrt (* x (+ y z)))
37.0ms	(sqrt (+ (* y z) (* (* (cbrt (* x (+ y z))) (cbrt (* x (+ y z)))) (cbrt (* x (+ y z))))))

simplify1.9min

Counts

60 → 60

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	12	26
1	23	26
2	26	14
3	31	11
4	45	11
5	67	11
6	92	11
7	153	11
8	370	11
9	1290	11
done	5000	11
0	12	26
1	23	26
2	26	14
3	31	11
4	45	11
5	67	11
6	92	11
7	153	11
8	370	11
9	1290	11
done	5000	11
0	13	53
1	24	53
2	27	29
3	32	23
4	46	23
5	66	23
6	91	23
7	155	23
8	363	23
9	1296	23
done	5000	23
0	12	26
1	23	26
2	26	14
3	31	11
4	45	11
5	67	11
6	92	11
7	153	11
8	370	11
9	1290	11
done	5000	11
0	13	77
1	25	50
2	38	15
3	61	12
4	106	12
5	177	12
6	261	12
7	479	12
8	1200	12
9	4421	12
done	5001	12
0	13	52
1	25	26
2	28	14
3	33	11
4	47	11
5	69	11
6	96	11
7	159	11
8	370	11
9	1296	11
done	5001	11
0	12	26
1	23	26
2	26	14
3	31	11
4	45	11
5	67	11
6	92	11
7	153	11
8	370	11
9	1290	11
done	5000	11
0	12	26
1	23	26
2	26	14
3	31	11
4	45	11
5	67	11
6	92	11
7	153	11
8	370	11
9	1290	11
done	5000	11
0	12	26
1	23	26
2	26	14
3	31	11
4	45	11
5	67	11
6	92	11
7	153	11
8	370	11
9	1290	11
done	5000	11
0	2	2
1	4	1
done	4	1
0	11	25
1	22	25
2	25	13
3	30	10
4	44	10
5	64	10
6	91	10
7	152	10
8	363	10
9	1277	10
done	5000	10
0	14	29
1	44	29
2	107	14
3	327	14
4	1257	14
done	5000	14
0	15	75
1	50	54
2	120	30
3	264	23
4	731	23
5	1776	23
6	4129	23
done	5001	23
0	13	50
1	41	50
2	79	26
3	145	17
4	400	17
5	1535	17
6	4908	17
done	5000	17
0	11	25
1	23	25
2	33	13
3	42	10
4	65	10
5	112	10
6	178	10
7	347	10
8	930	10
9	3333	10
done	5000	10
0	3	3
1	6	1
done	6	1
0	12	26
1	23	26
2	26	14
3	31	11
4	45	11
5	67	11
6	92	11
7	153	11
8	370	11
9	1290	11
done	5000	11
0	12	26
1	23	26
2	26	14
3	31	11
4	45	11
5	67	11
6	92	11
7	153	11
8	370	11
9	1290	11
done	5000	11
0	7	7
1	15	7
2	16	7
done	16	7
0	7	7
1	15	7
2	16	7
done	16	7
0	2	2
done	2	2
0	4	4
1	5	4
done	5	4
0	9	10
1	30	10
2	64	10
3	101	10
4	191	10
5	468	10
6	1514	10
done	5000	10
0	8	12
1	16	10
2	31	10
3	44	10
4	64	10
5	85	10
6	102	10
7	125	10
8	168	10
9	230	10
10	231	10
done	231	10
0	8	10
1	14	10
2	31	10
3	77	10
4	164	10
5	250	10
6	408	10
7	781	10
8	3434	10
done	5001	10
0	4	4
1	6	4
2	7	4
done	7	4
0	8	15
1	16	15
2	17	15
done	17	15
0	7	7
1	15	7
2	16	7
done	16	7
0	8	20
1	17	20
2	20	8
3	25	5
4	31	5
5	41	5
6	64	5
7	121	5
8	334	5
9	1263	5
done	5000	5
0	7	7
1	15	7
2	16	7
done	16	7
0	7	7
1	15	7
2	16	7
done	16	7
0	7	7
1	15	7
2	16	7
done	16	7
0	7	7
1	15	7
2	16	7
done	16	7
0	2	2
done	2	2
0	4	4
1	5	4
done	5	4
0	9	10
1	30	10
2	64	10
3	101	10
4	191	10
5	468	10
6	1514	10
done	5000	10
0	8	12
1	16	10
2	31	10
3	44	10
4	64	10
5	85	10
6	102	10
7	125	10
8	168	10
9	230	10
10	231	10
done	231	10
0	8	10
1	14	10
2	31	10
3	77	10
4	164	10
5	250	10
6	408	10
7	781	10
8	3434	10
done	5001	10
0	4	4
1	6	4
2	7	4
done	7	4
0	8	15
1	16	15
2	17	15
done	17	15
0	7	7
1	15	7
2	16	7
done	16	7
0	8	20
1	17	20
2	20	8
3	25	5
4	31	5
5	41	5
6	64	5
7	121	5
8	334	5
9	1263	5
done	5000	5
0	7	7
1	15	7
2	16	7
done	16	7
0	7	7
1	15	7
2	16	7
done	16	7
0	7	7
1	15	7
2	16	7
done	16	7
0	7	7
1	15	7
2	16	7
done	16	7
0	2	2
done	2	2
0	4	4
1	5	4
done	5	4
0	9	10
1	30	10
2	64	10
3	101	10
4	191	10
5	468	10
6	1514	10
done	5000	10
0	8	12
1	16	10
2	31	10
3	44	10
4	64	10
5	85	10
6	102	10
7	125	10
8	168	10
9	230	10
10	231	10
done	231	10
0	8	10
1	14	10
2	31	10
3	77	10
4	164	10
5	250	10
6	408	10
7	781	10
8	3434	10
done	5001	10
0	4	4
1	6	4
2	7	4
done	7	4
0	8	15
1	16	15
2	17	15
done	17	15
0	7	7
1	15	7
2	16	7
done	16	7
0	8	20
1	17	20
2	20	8
3	25	5
4	31	5
5	41	5
6	64	5
7	121	5
8	334	5
9	1263	5
done	5000	5
0	7	7
1	15	7
2	16	7
done	16	7
0	7	7
1	15	7
2	16	7
done	16	7
0	10	11
1	19	11
2	31	11
3	37	9
4	39	9
done	39	9
0	18	27
1	48	27
2	137	25
3	446	25
4	1932	21
done	5000	21
0	18	27
1	48	27
2	132	25
3	422	25
4	1442	21
5	4660	19
done	5000	19
0	11	11
1	26	10
2	54	8
3	108	7
4	179	4
5	343	4
6	866	4
7	2533	4
done	5000	4
0	13	15
1	29	12
2	70	10
3	184	7
4	308	4
5	553	4
6	1027	4
7	2475	4
done	5000	4
0	14	15
1	29	14
2	66	13
3	200	12
4	631	10
5	1739	8
6	3674	4
done	5000	4
0	11	11
1	26	10
2	54	8
3	108	7
4	179	4
5	343	4
6	866	4
7	2533	4
done	5000	4
0	13	15
1	29	12
2	70	10
3	184	7
4	308	4
5	553	4
6	1027	4
7	2475	4
done	5000	4
0	14	15
1	29	14
2	66	13
3	200	12
4	631	10
5	1739	8
6	3674	4
done	5000	4
0	11	11
1	26	10
2	54	8
3	108	7
4	179	4
5	343	4
6	866	4
7	2533	4
done	5000	4
0	13	15
1	29	12
2	70	10
3	184	7
4	308	4
5	553	4
6	1027	4
7	2475	4
done	5000	4
0	14	15
1	29	14
2	66	13
3	200	12
4	631	10
5	1739	8
6	3674	4
done	5000	4

prune87.0ms

Filtered

52 candidates to 60 candidates (-15.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	60	6	66

Merged error: 20.2b

Counts

66 → 6

regimes184.0ms

Accuracy

0% (0.1b remaining)

Error of 20.5b against oracle of 20.4b and baseline of 20.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	15	12
done	15	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

399.0ms	8000×	body	80	valid
397.0ms	8119×	body	80	nan

Details

sample47.0ms

simplify26.0ms

prune8.0ms

localize9.0ms

rewrite18.0ms

series56.0ms

simplify48.9s

prune113.0ms

localize12.0ms

rewrite21.0ms

series96.0ms

simplify1.1min

prune113.0ms

localize19.0ms

rewrite20.0ms

series183.0ms

simplify1.2min

prune126.0ms

localize13.0ms

rewrite23.0ms

series141.0ms

simplify1.9min

prune87.0ms

regimes184.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

Profiling