Details

sample20.0ms

Algorithm

intervals

Results

7.0ms

344×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	8	5
2	9	5
done	9	5

prune2.0ms

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: 0.2b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 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:

5.0ms

(* (* x y) y)

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (* x y) y)

simplify27.5s

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	40	6
4	84	6
5	194	6
6	475	6
7	1303	6
done	5000	6
0	8	17
1	20	17
2	77	11
3	219	7
4	454	7
5	1201	7
6	4018	7
done	5001	7
0	8	17
1	24	17
2	89	9
3	270	9
4	451	7
5	1025	7
6	3081	7
done	5001	7
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	211	7
4	361	7
5	532	7
6	1355	7
7	4489	7
done	5000	7
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
3	27	3
done	27	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	70	5
7	129	5
8	346	5
9	1272	5
done	5000	5
0	5	5
1	11	5
2	27	5
3	32	5
4	38	5
5	48	5
6	70	5
7	129	5
8	346	5
9	1272	5
done	5000	5
0	5	5
1	11	5
2	27	5
3	32	5
4	38	5
5	48	5
6	70	5
7	129	5
8	346	5
9	1272	5
done	5000	5

prune39.0ms

Filtered

16 candidates to 21 candidates (-31.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.0b

Counts

22 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series120.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (cbrt y) (cbrt y))
27.0ms	(cbrt y)
26.0ms	(cbrt y)
33.0ms	(cbrt y)

simplify52.1s

Counts

85 → 85

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	3	3
done	3	3
0	3	3
done	3	3
0	4	6
done	4	6
0	3	3
done	3	3
0	3	3
done	3	3
0	3	3
done	3	3
0	2	2
1	4	1
done	4	1
0	2	2
done	2	2
0	4	7
done	4	7
0	3	3
done	3	3
0	4	8
1	5	8
2	7	4
3	12	1
4	16	1
5	22	1
6	32	1
7	55	1
8	122	1
9	333	1
10	1272	1
done	5000	1
0	3	3
done	3	3
0	3	3
done	3	3
0	3	3
done	3	3
0	3	3
done	3	3
0	4	6
done	4	6
0	3	3
done	3	3
0	3	3
done	3	3
0	3	3
done	3	3
0	2	2
1	4	1
done	4	1
0	2	2
done	2	2
0	4	7
done	4	7
0	3	3
done	3	3
0	4	8
1	5	8
2	7	4
3	12	1
4	16	1
5	22	1
6	32	1
7	55	1
8	122	1
9	333	1
10	1272	1
done	5000	1
0	3	3
done	3	3
0	3	3
done	3	3
0	3	3
done	3	3
0	3	3
done	3	3
0	4	6
done	4	6
0	3	3
done	3	3
0	3	3
done	3	3
0	3	3
done	3	3
0	2	2
1	4	1
done	4	1
0	2	2
done	2	2
0	4	7
done	4	7
0	3	3
done	3	3
0	4	8
1	5	8
2	7	4
3	12	1
4	16	1
5	22	1
6	32	1
7	55	1
8	122	1
9	333	1
10	1272	1
done	5000	1
0	3	3
done	3	3
0	3	3
done	3	3
0	2	3
1	5	1
done	5	1
0	2	3
1	6	1
done	6	1
0	2	3
done	2	3
0	3	5
done	3	5
0	2	3
1	6	1
done	6	1
0	4	7
1	6	5
2	7	5
done	7	5
0	4	6
1	6	6
2	8	5
3	9	5
done	9	5
0	4	6
1	6	6
2	10	6
3	15	6
4	33	6
5	73	6
6	177	6
7	560	6
8	2247	6
done	5000	6
0	2	3
done	2	3
0	5	13
done	5	13
0	4	6
done	4	6
0	5	17
1	13	17
2	20	7
3	34	3
4	53	3
5	87	3
6	151	3
7	335	3
8	832	3
9	3226	3
done	5000	3
0	4	6
1	5	3
done	5	3
0	4	6
1	5	3
done	5	3
0	5	13
done	5	13
0	4	7
done	4	7
0	4	7
done	4	7
0	4	7
done	4	7
0	3	5
1	5	3
done	5	1
0	3	5
done	3	5
0	5	15
1	9	15
2	11	9
3	20	5
4	35	5
5	61	5
6	131	5
7	348	5
8	1255	5
done	5001	5
0	4	7
done	4	7
0	4	7
done	4	2
0	4	7
done	4	2
0	2	3
1	4	1
done	4	1
0	3	5
done	3	5
0	4	7
done	4	7
0	4	7
done	4	7
0	6	7
1	7	7
done	7	7
0	6	7
1	7	7
done	7	7
0	6	7
1	7	7
done	7	7
0	6	7
1	7	7
done	7	7
0	4	7
done	4	2
0	4	7
done	4	2
0	3	3
1	5	1
done	5	1
0	3	3
1	6	1
done	6	1
0	5	9
1	6	9
done	6	9
0	5	6
1	6	6
done	6	6
0	5	5
1	8	4
done	8	4
0	5	10
1	8	10
2	10	10
done	10	10
0	4	6
1	5	6
done	5	6
0	4	4
1	7	2
2	10	2
done	10	2
0	4	6
1	5	6
done	5	6
0	5	6
1	6	6
done	6	6
0	3	5
done	3	5
0	4	6
1	5	6
done	5	6
0	4	6
1	5	6
done	5	6
0	3	5
done	3	5
0	8	8
1	20	7
2	28	5
3	50	2
4	87	2
5	174	2
6	360	2
7	911	2
8	3082	2
done	5000	2
0	9	10
1	19	8
2	35	5
3	72	2
4	126	2
5	264	2
6	568	2
7	1635	2
done	5000	2
0	12	13
1	23	12
2	40	11
3	95	10
4	227	9
5	546	7
6	1204	6
7	3460	2
done	5000	2
0	8	8
1	20	7
2	28	5
3	50	2
4	87	2
5	174	2
6	360	2
7	911	2
8	3082	2
done	5000	2
0	9	10
1	19	8
2	35	5
3	72	2
4	126	2
5	264	2
6	568	2
7	1635	2
done	5000	2
0	12	13
1	23	12
2	40	11
3	95	10
4	227	9
5	546	7
6	1204	6
7	3460	2
done	5000	2
0	8	8
1	20	7
2	28	5
3	50	2
4	87	2
5	174	2
6	360	2
7	911	2
8	3082	2
done	5000	2
0	9	10
1	19	8
2	35	5
3	72	2
4	126	2
5	264	2
6	568	2
7	1635	2
done	5000	2
0	12	13
1	23	12
2	40	11
3	95	10
4	227	9
5	546	7
6	1204	6
7	3460	2
done	5000	2
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	15	17
1	31	16
2	66	14
3	189	11
4	548	10
5	2145	10
done	5001	9

prune87.0ms

Filtered

52 candidates to 85 candidates (-63.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(cbrt (* (cbrt y) (cbrt y)))
0.7b	(cbrt (* (cbrt y) (cbrt y)))
0.7b	(cbrt (* (cbrt y) (cbrt y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt y)
5.0ms	(cbrt (* (cbrt y) (cbrt y)))
5.0ms	(cbrt (* (cbrt y) (cbrt y)))
5.0ms	(cbrt (* (cbrt y) (cbrt y)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt y)
42.0ms	(cbrt (* (cbrt y) (cbrt y)))
45.0ms	(cbrt (* (cbrt y) (cbrt y)))
43.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify42.7s

Counts

50 → 50

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	5	7
done	5	7
0	5	7
done	5	7
0	3	3
done	3	3
0	3	3
done	3	3
0	6	15
done	6	15
0	5	7
done	5	7
0	6	20
1	7	20
2	9	8
3	14	5
4	20	5
5	30	5
6	53	5
7	118	5
8	324	5
9	1243	5
done	5000	5
0	5	7
done	5	7
0	5	7
done	5	7
0	5	7
done	5	7
0	5	7
done	5	7
0	3	3
done	3	3
0	3	3
done	3	3
0	6	15
done	6	15
0	5	7
done	5	7
0	6	20
1	7	20
2	9	8
3	14	5
4	20	5
5	30	5
6	53	5
7	118	5
8	324	5
9	1243	5
done	5000	5
0	5	7
done	5	7
0	5	7
done	5	7
0	5	7
done	5	7
0	5	7
done	5	7
0	3	3
done	3	3
0	3	3
done	3	3
0	6	15
done	6	15
0	5	7
done	5	7
0	6	20
1	7	20
2	9	8
3	14	5
4	20	5
5	30	5
6	53	5
7	118	5
8	324	5
9	1243	5
done	5000	5
0	5	7
done	5	7
0	5	7
done	5	7
0	3	3
done	3	3
0	3	3
done	3	3
0	4	6
done	4	6
0	3	3
done	3	3
0	3	3
done	3	3
0	3	3
done	3	3
0	2	2
1	4	1
done	4	1
0	2	2
done	2	2
0	4	7
done	4	7
0	3	3
done	3	3
0	4	8
1	5	8
2	7	4
3	12	1
4	16	1
5	22	1
6	32	1
7	55	1
8	122	1
9	333	1
10	1272	1
done	5000	1
0	3	3
done	3	3
0	3	3
done	3	3
0	10	10
1	23	9
2	39	5
3	78	3
4	155	3
5	314	3
6	889	3
7	2957	3
done	5000	3
0	11	12
1	22	10
2	46	8
3	130	5
4	285	3
5	616	3
6	1979	3
done	5001	3
0	17	19
1	38	17
2	75	15
3	199	13
4	569	11
5	2214	11
done	5000	11
0	10	10
1	23	9
2	39	5
3	78	3
4	155	3
5	314	3
6	889	3
7	2957	3
done	5000	3
0	11	12
1	22	10
2	46	8
3	130	5
4	285	3
5	616	3
6	1979	3
done	5001	3
0	17	19
1	38	17
2	75	15
3	199	13
4	569	11
5	2214	11
done	5000	11
0	10	10
1	23	9
2	39	5
3	78	3
4	155	3
5	314	3
6	889	3
7	2957	3
done	5000	3
0	11	12
1	22	10
2	46	8
3	130	5
4	285	3
5	616	3
6	1979	3
done	5001	3
0	17	19
1	38	17
2	75	15
3	199	13
4	569	11
5	2214	11
done	5000	11
0	8	8
1	20	7
2	28	5
3	50	2
4	87	2
5	174	2
6	360	2
7	911	2
8	3082	2
done	5000	2
0	9	10
1	19	8
2	35	5
3	72	2
4	126	2
5	264	2
6	568	2
7	1635	2
done	5000	2
0	12	13
1	23	12
2	40	11
3	95	10
4	227	9
5	546	7
6	1204	6
7	3460	2
done	5000	2

prune71.0ms

Filtered

39 candidates to 50 candidates (-28.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	49	8	57

Merged error: 0.0b

Counts

57 → 8

localize4.0ms

Local error

Found 1 expressions with local error:

9.2b	(* x (* 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

(* x (* y y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* x (* y y))

simplify29.4s

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	38	6
4	80	6
5	182	6
6	446	6
7	1298	6
8	4672	6
done	5000	6
0	8	17
1	21	17
2	73	11
3	200	7
4	416	7
5	1162	7
6	3922	7
done	5000	7
0	8	17
1	22	17
2	69	9
3	196	7
4	441	7
5	1243	7
6	4192	7
done	5000	7
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	19	17
2	70	7
3	224	7
4	365	7
5	531	7
6	1425	7
7	4784	7
done	5000	7
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	70	5
7	129	5
8	346	5
9	1272	5
done	5000	5
0	5	5
1	11	5
2	27	5
3	32	5
4	38	5
5	48	5
6	70	5
7	129	5
8	346	5
9	1272	5
done	5000	5
0	5	5
1	11	5
2	27	5
3	32	5
4	38	5
5	48	5
6	70	5
7	129	5
8	346	5
9	1272	5
done	5000	5

prune22.0ms

Filtered

15 candidates to 22 candidates (-46.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	22	8	30

Merged error: 0.0b

Counts

30 → 8

regimes168.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
done	6	5

end0.0ms

sample567.0ms

Algorithm

intervals

Results

226.0ms

10601×

body

valid

Details

sample20.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite6.0ms

series8.0ms

simplify27.5s

prune39.0ms

localize8.0ms

rewrite13.0ms

series120.0ms

simplify52.1s

prune87.0ms

localize16.0ms

rewrite16.0ms

series156.0ms

simplify42.7s

prune71.0ms

localize4.0ms

rewrite7.0ms

series8.0ms

simplify29.4s

prune22.0ms

regimes168.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample567.0ms

Profiling