Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

257×

body

valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	10	6
done	10	6

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: 28.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

27.0b

(sqrt (* 2.0 (* x x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1`
3×	`sqrt-pow1` `pow-prod-down`
1×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/2` `sqrt-prod` `add-cbrt-cube` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

7.0ms

(sqrt (* 2.0 (* x x)))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(sqrt (* 2.0 (* x x)))

simplify3.0s

Counts

15 → 15

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	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	12
2	28	8
3	46	8
4	52	8
5	62	8
6	83	8
7	143	8
8	348	8
9	1266	8
done	5000	8
0	2	2
done	2	2
0	3	4
1	4	2
done	4	2
0	3	3
1	6	1
done	6	1
0	3	3
1	6	1
done	6	1
0	3	3
1	6	1
done	6	1
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	4
1	5	4
done	5	4
0	4	4
1	5	4
done	5	4
0	6	6
1	11	5
2	23	5
done	23	5

prune45.0ms

Filtered

11 candidates to 15 candidates (-36.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	10	5	15
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	11	5	16

Merged error: 0.2b

Counts

16 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b	(* (sqrt 2.0) (fabs x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

6.0ms

(* (sqrt 2.0) (fabs x))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* (sqrt 2.0) (fabs x))

simplify10.2s

Counts

25 → 25

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5
0	7	7
1	8	7
done	8	7
0	6	6
1	10	6
2	11	6
done	11	6
0	6	6
1	9	6
2	15	6
3	23	6
4	46	6
5	102	6
6	243	6
7	706	6
8	2720	6
done	5000	6
0	9	17
1	16	13
2	38	9
3	69	9
4	94	9
5	138	9
6	255	9
7	649	9
8	2097	9
done	5001	9
0	7	13
1	8	13
done	8	13
0	6	6
1	7	6
done	7	6
0	7	17
1	18	17
2	47	7
3	88	7
4	104	7
5	148	7
6	281	7
7	746	7
8	2767	7
done	5000	7
0	6	6
1	7	6
done	7	6
0	6	6
1	7	6
done	7	6
0	7	7
1	8	7
done	8	7
0	7	7
1	8	7
done	8	7
0	7	7
1	8	7
done	8	7
0	7	7
1	8	7
done	8	7
0	7	10
1	10	10
2	12	10
done	12	10
0	6	6
1	7	6
done	7	6
0	4	4
1	7	2
2	10	2
done	10	2
0	6	6
1	7	6
done	7	6
0	6	6
1	7	6
done	7	6
0	6	6
1	7	6
done	7	6
0	5	5
1	6	5
done	6	5
0	6	6
1	7	6
done	7	6
0	5	5
1	6	5
done	6	5
0	5	5
1	6	5
done	6	5
0	5	5
1	6	5
done	6	5
0	5	5
1	6	5
done	6	5

prune57.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	20	5	25
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	23	7	30

Merged error: 0.0b

Counts

30 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (cbrt (sqrt 2.0)) (fabs x))
0.3b	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log`
12×	`add-sqr-sqrt`
10×	`associate-l`
9×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
8×	`cbrt-prod`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `sqrt-prod`
3×	`unswap-sqr`
2×	`*-commutative` `add-log-exp`

Counts

2 → 48

Calls

2 calls:

6.0ms	(* (cbrt (sqrt 2.0)) (fabs x))
13.0ms	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs x)))

series33.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (cbrt (sqrt 2.0)) (fabs x))
5.0ms	(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs x)))

simplify1.7min

Counts

54 → 54

Iterations

Useful iterations: 3 (3.0ms)

Iter	Nodes	Cost
0	8	14
1	14	14
2	22	14
3	25	8
4	30	5
5	40	5
6	58	5
7	106	5
8	250	5
9	772	5
10	3071	5
done	5001	5
0	8	14
1	14	14
2	22	14
3	25	8
4	30	5
5	40	5
6	58	5
7	106	5
8	250	5
9	772	5
10	3071	5
done	5001	5
0	8	14
1	14	14
2	22	14
3	25	8
4	30	5
5	40	5
6	58	5
7	106	5
8	250	5
9	772	5
10	3071	5
done	5001	5
0	8	14
1	14	14
2	22	14
3	25	8
4	30	5
5	40	5
6	58	5
7	106	5
8	250	5
9	772	5
10	3071	5
done	5001	5
0	10	18
1	18	15
2	31	10
3	35	10
done	35	10
0	10	17
1	18	14
2	27	14
3	34	10
4	37	10
done	37	10
0	11	17
1	16	17
2	28	15
3	33	10
4	36	10
done	36	10
0	10	16
1	16	16
2	27	14
3	38	10
4	41	10
done	41	10
0	9	15
1	18	15
2	35	15
3	53	9
4	62	6
5	77	6
6	106	6
7	191	6
8	443	6
9	1339	6
done	5000	6
0	9	15
1	17	15
2	35	15
3	66	9
4	142	6
5	337	6
6	837	6
7	2485	6
done	5001	6
0	9	17
1	18	13
2	44	9
3	90	9
4	129	9
5	183	7
6	323	7
7	821	7
8	2612	7
done	5000	7
0	10	26
1	26	22
2	84	10
3	296	10
4	716	9
5	1199	7
6	3138	7
done	5000	7
0	12	35
1	29	35
2	94	17
3	340	13
4	860	9
5	3024	7
done	5001	7
0	12	44
1	35	44
2	126	18
3	499	13
4	909	7
5	3103	7
done	5000	7
0	10	31
1	16	31
2	24	31
3	27	19
4	32	13
5	42	13
6	60	13
7	106	13
8	255	13
9	778	13
10	3077	13
done	5000	13
0	9	15
1	15	15
2	22	15
3	24	9
4	29	6
5	39	6
6	57	6
7	103	6
8	242	6
9	768	6
10	3087	6
done	5000	6
0	10	44
1	26	44
2	113	16
3	450	10
4	787	7
5	1155	7
6	4003	7
done	5001	7
0	9	15
1	15	15
2	22	15
3	24	9
4	29	6
5	39	6
6	57	6
7	103	6
8	242	6
9	768	6
10	3087	6
done	5000	6
0	9	15
1	15	15
2	22	15
3	24	9
4	29	6
5	39	6
6	57	6
7	103	6
8	242	6
9	768	6
10	3087	6
done	5000	6
0	5	11
1	6	11
2	8	5
3	13	2
4	19	2
5	29	2
6	50	2
7	108	2
8	311	2
9	1229	2
done	5000	2
0	7	10
1	11	10
2	12	10
done	12	10
0	6	6
1	7	6
done	7	6
0	8	8
1	9	8
done	9	8
0	7	7
1	11	7
2	12	7
done	12	7
0	7	7
1	10	7
2	16	7
3	24	7
4	47	7
5	103	7
6	241	7
7	700	7
8	2704	7
done	5001	7
0	7	11
1	11	11
2	20	7
3	26	7
4	36	7
5	54	7
6	102	7
7	245	7
8	776	7
9	3062	7
done	5001	7
0	8	15
1	9	15
done	9	15
0	7	7
1	8	7
done	8	7
0	8	20
1	19	20
2	48	8
3	91	8
4	107	7
5	153	7
6	295	7
7	753	7
8	2735	7
done	5001	7
0	7	7
1	8	7
done	8	7
0	7	7
1	8	7
done	8	7
0	8	8
1	9	8
done	9	8
0	8	8
1	9	8
done	9	8
0	8	8
1	9	8
done	9	8
0	8	8
1	9	8
done	9	8
0	8	8
1	9	8
done	9	8
0	8	8
1	9	8
done	9	8
0	8	11
1	11	11
2	13	11
done	13	11
0	7	7
1	8	7
done	8	7
0	5	5
1	8	3
2	11	3
done	11	3
0	7	7
1	8	7
done	8	7
0	7	7
1	8	7
done	8	7
0	7	7
1	8	7
done	8	7
0	6	6
1	7	6
done	7	6
0	7	7
1	8	7
done	8	7
0	6	6
1	7	6
done	7	6
0	7	7
1	8	7
done	8	7
0	7	7
1	8	7
done	8	7
0	6	6
1	7	6
done	7	6
0	5	5
1	6	5
done	6	5
0	5	5
1	6	5
done	6	5
0	5	5
1	6	5
done	6	5
0	7	7
1	14	6
2	24	6
3	42	6
4	87	6
5	233	6
6	761	6
7	3060	6
done	5000	6
0	7	7
1	14	6
2	24	6
3	42	6
4	87	6
5	233	6
6	761	6
7	3060	6
done	5000	6
0	7	7
1	14	6
2	24	6
3	42	6
4	87	6
5	233	6
6	761	6
7	3060	6
done	5000	6

prune119.0ms

Filtered

33 candidates to 54 candidates (-63.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	53	8	61

Merged error: 0b

Counts

61 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt (sqrt 2.0)) (fabs x))
0.3b	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (fabs x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

21×	`sqrt-prod`
18×	`associate-l`
15×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`unswap-sqr`
2×	`*-commutative` `add-log-exp`

Counts

2 → 50

Calls

2 calls:

7.0ms	(* (sqrt (sqrt 2.0)) (fabs x))
10.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (fabs x)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* (sqrt (sqrt 2.0)) (fabs x))
5.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (fabs x)))

simplify27.6s

Counts

56 → 56

Iterations

Useful iterations: done (1.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	12	5
3	13	5
done	13	5
0	7	10
1	11	10
2	12	5
3	13	5
done	13	5
0	9	13
1	13	13
2	16	10
3	17	10
done	17	10
0	9	12
1	13	12
2	16	12
3	19	10
4	20	10
done	20	10
0	8	11
1	15	11
2	22	6
3	27	6
4	29	6
5	30	6
done	30	6
0	8	11
1	14	11
2	23	6
3	44	6
4	91	6
5	204	6
6	508	6
7	1548	6
done	5000	6
0	11	32
1	23	22
2	83	13
3	207	9
4	397	9
5	1052	7
6	3620	7
done	5000	7
0	11	32
1	27	22
2	94	14
3	255	14
4	425	7
5	976	7
6	3112	7
done	5000	7
0	9	23
1	13	23
2	14	13
3	15	13
done	15	13
0	8	11
1	12	11
2	13	6
3	14	6
done	14	6
0	9	32
1	22	32
2	77	7
3	203	7
4	355	7
5	524	7
6	1317	7
7	4346	7
done	5000	7
0	8	11
1	12	11
2	13	6
3	14	6
done	14	6
0	8	11
1	12	11
2	13	6
3	14	6
done	14	6
0	4	7
done	4	2
0	8	11
1	12	11
2	18	11
3	20	11
done	20	11
0	9	11
1	13	11
2	19	11
done	19	11
0	10	11
1	14	11
2	20	11
3	22	11
done	22	11
0	8	11
1	12	11
2	18	11
3	20	11
done	20	11
0	7	10
1	11	10
2	12	5
3	13	5
done	13	5
0	8	11
1	12	11
2	18	11
3	20	11
done	20	11
0	7	10
1	11	10
2	12	5
3	13	5
done	13	5
0	8	11
1	12	11
2	18	11
3	20	11
done	20	11
0	7	10
1	11	10
2	12	5
3	13	5
done	13	5
0	6	6
1	7	6
done	7	6
0	8	8
1	9	8
done	9	8
0	7	7
1	11	7
2	12	7
done	12	7
0	7	7
1	10	7
2	16	7
3	24	7
4	47	7
5	103	7
6	241	7
7	700	7
8	2704	7
done	5001	7
0	10	20
1	17	15
2	43	10
3	85	10
4	138	8
5	263	8
6	672	8
7	2485	8
done	5001	8
0	8	15
1	9	15
done	9	15
0	7	7
1	8	7
done	8	7
0	8	20
1	19	20
2	48	8
3	92	8
4	108	8
5	154	8
6	292	8
7	758	8
8	2745	8
done	5001	8
0	7	7
1	8	7
done	8	7
0	7	7
1	8	7
done	8	7
0	8	8
1	9	8
done	9	8
0	8	8
1	9	8
done	9	8
0	8	8
1	9	8
done	9	8
0	8	8
1	9	8
done	9	8
0	8	8
1	9	8
done	9	8
0	8	8
1	9	8
done	9	8
0	8	11
1	11	11
2	13	11
done	13	11
0	7	7
1	8	7
done	8	7
0	5	5
1	8	3
2	11	3
done	11	3
0	7	7
1	8	7
done	8	7
0	7	7
1	8	7
done	8	7
0	7	7
1	8	7
done	8	7
0	7	7
1	8	7
done	8	7
0	6	6
1	7	6
done	7	6
0	7	7
1	8	7
done	8	7
0	6	6
1	7	6
done	7	6
0	7	7
1	8	7
done	8	7
0	6	6
1	7	6
done	7	6
0	5	5
1	6	5
done	6	5
0	5	5
1	6	5
done	6	5
0	5	5
1	6	5
done	6	5
0	6	6
1	7	6
done	7	6
0	6	6
1	7	6
done	7	6
0	6	6
1	7	6
done	7	6

prune90.0ms

Filtered

35 candidates to 56 candidates (-60.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	2	3	5
Picked	0	1	1
Done	1	1	2
Total	58	6	64

Merged error: 0b

Counts

64 → 6

regimes128.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	12	16
done	12	16

end0.0ms

sample372.0ms

Algorithm

intervals

Results

216.0ms

8006×

body

valid

Details

sample20.0ms

simplify30.0ms

prune4.0ms

localize7.0ms

rewrite9.0ms

series13.0ms

simplify3.0s

prune45.0ms

localize4.0ms

rewrite6.0ms

series6.0ms

simplify10.2s

prune57.0ms

localize8.0ms

rewrite21.0ms

series33.0ms

simplify1.7min

prune119.0ms

localize7.0ms

rewrite19.0ms

series11.0ms

simplify27.6s

prune90.0ms

regimes128.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample372.0ms

Profiling