Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

344×

body

valid

simplify45.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	31	7
3	57	7
4	66	7
5	72	7
done	72	7

prune3.0ms

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: 0.1b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

9.0ms

(* (* x y) (- 1.0 y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (* x y) (- 1.0 y))

simplify26.2s

Counts

29 → 29

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	31	7
3	57	7
4	66	7
5	72	7
done	72	7
0	6	7
1	12	7
2	31	7
3	57	7
4	66	7
5	72	7
done	72	7
0	9	10
1	15	10
2	22	10
done	22	10
0	8	9
1	15	9
2	21	9
3	25	9
done	25	9
0	7	8
1	16	8
2	42	8
3	80	8
4	85	8
5	91	8
done	91	8
0	7	8
1	15	8
2	45	8
3	103	8
4	195	8
5	420	8
6	1161	8
7	4345	8
done	5001	8
0	12	23
1	27	23
2	111	13
3	530	13
4	2950	11
done	5001	11
0	10	23
1	29	23
2	115	11
3	566	11
4	3020	9
done	5000	9
0	8	17
1	14	17
2	33	17
3	59	17
4	66	17
5	72	17
done	72	17
0	7	8
1	13	8
2	32	8
3	58	8
4	63	8
5	69	8
done	69	8
0	8	23
1	24	23
2	125	9
3	685	9
4	3389	9
done	5001	9
0	7	8
1	13	8
2	32	8
3	58	8
4	63	8
5	69	8
done	69	8
0	7	8
1	13	8
2	32	8
3	58	8
4	63	8
5	69	8
done	69	8
0	5	5
1	9	5
2	15	5
done	15	5
0	5	6
1	11	6
2	23	6
3	29	6
4	30	6
done	30	6
0	5	5
1	9	5
2	15	5
done	15	5
0	5	6
1	11	6
2	23	6
3	29	6
4	30	6
done	30	6
0	5	5
1	9	5
2	15	5
done	15	5
0	5	6
1	11	6
2	21	6
3	27	6
4	28	6
done	28	6
0	5	5
1	9	5
2	15	5
done	15	5
0	5	6
1	11	6
2	21	6
3	27	6
4	28	6
done	28	6
0	8	13
1	16	13
2	30	13
3	40	13
done	40	13
0	7	8
1	13	8
2	20	8
done	20	8
0	5	5
1	11	3
2	23	3
3	27	3
done	27	3
0	8	9
1	19	9
2	46	9
3	54	9
done	54	9
0	5	5
1	11	3
2	23	3
3	27	3
done	27	3
0	4	5
1	7	5
2	14	5
3	17	5
4	18	5
done	18	5
0	9	11
1	28	11
2	68	11
3	204	11
4	590	11
5	2155	11
done	5000	11
0	8	11
1	17	11
2	48	11
3	148	11
4	356	11
5	566	11
6	923	11
7	1704	11
done	5000	11
0	9	11
1	21	11
2	48	11
3	73	7
4	107	7
5	125	7
6	149	7
7	217	7
8	433	7
9	1382	7
done	5000	7
0	9	11
1	21	11
2	48	11
3	73	7
4	107	7
5	125	7
6	149	7
7	217	7
8	433	7
9	1382	7
done	5000	7
0	9	11
1	21	11
2	48	11
3	73	7
4	107	7
5	125	7
6	149	7
7	217	7
8	433	7
9	1382	7
done	5000	7

prune62.0ms

Filtered

19 candidates to 29 candidates (-52.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	22	7	29
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	7	30

Merged error: 0.0b

Counts

30 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (* (* x y) (neg y)))
0.2b	(* (* x y) (neg y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
1×	`+-commutative` `neg-mul-1` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 40

Calls

2 calls:

6.0ms	(+ (* (* x y) 1.0) (* (* x y) (neg y)))
7.0ms	(* (* x y) (neg y))

series26.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ (* (* x y) 1.0) (* (* x y) (neg y)))
12.0ms	(* (* x y) (neg y))

simplify59.7s

Counts

46 → 46

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	11	6
2	23	6
3	29	6
4	30	6
done	30	6
0	5	6
1	11	6
2	23	6
3	29	6
4	30	6
done	30	6
0	8	9
1	12	9
2	18	9
3	20	9
done	20	9
0	7	8
1	12	8
2	17	8
3	21	8
done	21	8
0	6	7
1	15	7
2	34	7
3	52	7
4	58	7
5	62	7
6	64	7
7	65	7
done	65	7
0	6	7
1	14	7
2	40	7
3	75	7
4	150	7
5	337	7
6	779	7
7	2061	7
done	5000	7
0	11	20
1	30	18
2	118	12
3	541	8
4	1540	8
done	5000	8
0	9	20
1	32	18
2	127	10
3	630	10
4	1536	8
5	4259	8
done	5001	8
0	7	15
1	13	15
2	25	15
3	31	15
4	32	15
done	32	15
0	6	7
1	12	7
2	24	7
3	30	7
4	31	7
done	31	7
0	7	20
1	23	20
2	116	8
3	579	8
4	1507	8
5	3196	8
done	5000	8
0	6	7
1	12	7
2	24	7
3	30	7
4	31	7
done	31	7
0	6	7
1	12	7
2	24	7
3	30	7
4	31	7
done	31	7
0	4	5
1	8	5
2	9	5
done	9	5
0	7	11
1	13	11
2	26	11
3	36	11
done	36	11
0	6	7
1	10	7
2	16	7
3	18	7
done	18	7
0	5	5
1	11	3
2	23	3
3	27	3
done	27	3
0	5	5
1	9	5
2	16	4
3	22	4
done	22	4
0	7	10
1	16	10
2	43	10
3	87	10
4	120	10
5	127	10
done	127	10
0	6	7
1	12	7
2	26	7
3	43	7
4	51	7
done	51	7
0	6	6
1	15	5
2	28	4
3	70	4
4	76	4
done	76	4
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	3	4
1	6	4
done	6	4
0	10	14
1	25	13
2	69	9
3	158	8
4	428	8
5	1989	8
done	5001	8
0	9	13
1	21	9
2	54	8
3	86	8
4	98	8
done	98	8
0	9	13
1	24	9
2	69	8
3	141	8
4	329	8
5	1440	8
done	5001	8
0	10	27
1	22	19
2	52	17
3	75	17
4	77	17
done	77	17
0	9	13
1	21	9
2	51	8
3	74	8
4	76	8
done	76	8
0	10	38
1	35	26
2	164	9
3	1090	9
done	5000	9
0	9	13
1	21	9
2	51	8
3	74	8
4	76	8
done	76	8
0	9	13
1	21	9
2	51	8
3	74	8
4	76	8
done	76	8
0	11	16
1	39	16
2	164	14
3	847	13
4	3048	13
done	5000	13
0	12	38
1	45	31
2	212	27
3	906	23
4	2594	18
done	5001	18
0	10	25
1	37	25
2	163	15
3	639	15
4	1567	15
5	4024	15
done	5001	15
0	8	12
1	21	8
2	57	8
3	121	7
4	141	7
5	165	7
6	208	7
7	292	7
8	403	7
9	407	7
done	407	7
0	4	4
1	6	3
done	6	3
0	7	7
1	17	6
2	49	6
3	74	6
4	87	6
5	97	6
6	121	6
7	179	6
8	384	6
9	1303	6
done	5000	6
0	7	7
1	17	6
2	49	6
3	74	6
4	87	6
5	97	6
6	121	6
7	179	6
8	384	6
9	1303	6
done	5000	6
0	7	7
1	17	6
2	49	6
3	74	6
4	87	6
5	97	6
6	121	6
7	179	6
8	384	6
9	1303	6
done	5000	6
0	9	11
1	21	11
2	48	11
3	73	7
4	107	7
5	125	7
6	149	7
7	217	7
8	433	7
9	1382	7
done	5000	7
0	9	11
1	21	11
2	48	11
3	73	7
4	107	7
5	125	7
6	149	7
7	217	7
8	433	7
9	1382	7
done	5000	7
0	9	11
1	21	11
2	48	11
3	73	7
4	107	7
5	125	7
6	149	7
7	217	7
8	433	7
9	1382	7
done	5000	7

prune72.0ms

Filtered

35 candidates to 46 candidates (-31.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize11.0ms

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)

series112.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt y) (cbrt y))
31.0ms	(cbrt y)
25.0ms	(cbrt y)
26.0ms	(cbrt y)

simplify52.2s

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

prune86.0ms

Filtered

52 candidates to 85 candidates (-63.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize17.0ms

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)))

rewrite17.0ms

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:

25.0ms	(cbrt y)
44.0ms	(cbrt (* (cbrt y) (cbrt y)))
42.0ms	(cbrt (* (cbrt y) (cbrt y)))
45.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify43.4s

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

prune61.0ms

Filtered

39 candidates to 50 candidates (-28.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	50	7	57

Merged error: 0.0b

Counts

57 → 7

regimes156.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	14	12
2	17	12
3	23	12
done	23	12

end0.0ms

sample589.0ms

Algorithm

intervals

Results

273.0ms

10601×

body

valid

Details

sample21.0ms

simplify45.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series8.0ms

simplify26.2s

prune62.0ms

localize7.0ms

rewrite14.0ms

series26.0ms

simplify59.7s

prune72.0ms

localize11.0ms

rewrite13.0ms

series112.0ms

simplify52.2s

prune86.0ms

localize17.0ms

rewrite17.0ms

series156.0ms

simplify43.4s

prune61.0ms

regimes156.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample589.0ms

Profiling