Details

sample43.0ms

Algorithm

intervals

Results

11.0ms	258×	body	80	valid
9.0ms	261×	body	80	nan

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	16	8
3	23	8
4	34	8
5	48	8
6	56	8
7	68	8
8	94	8
9	154	8
10	218	8
11	266	8
12	303	8
13	356	8
14	400	8
15	431	8
16	484	8
17	528	8
18	559	8
19	612	8
20	656	8
21	687	8
22	740	8
23	784	8
24	815	8
25	868	8
26	912	8
27	943	8
28	996	8
29	1040	8
30	1071	8
31	1124	8
32	1168	8
33	1199	8
34	1252	8
35	1296	8
36	1327	8
37	1380	8
38	1424	8
39	1455	8
40	1508	8
41	1552	8
42	1583	8
43	1636	8
44	1680	8
45	1711	8
46	1764	8
47	1808	8
48	1839	8
49	1892	8
50	1936	8
51	1967	8
52	2020	8
53	2064	8
54	2095	8
55	2148	8
56	2192	8
57	2223	8
58	2276	8
59	2320	8
60	2351	8
61	2404	8
62	2448	8
63	2479	8
64	2532	8
65	2576	8
66	2607	8
67	2660	8
68	2704	8
69	2735	8
70	2788	8
71	2832	8
72	2863	8
73	2916	8
74	2960	8
75	2991	8
76	3044	8
77	3088	8
78	3119	8
79	3172	8
80	3216	8
81	3247	8
82	3300	8
83	3344	8
84	3375	8
85	3428	8
86	3472	8
87	3503	8
88	3556	8
89	3600	8
90	3631	8
91	3684	8
92	3728	8
93	3759	8
94	3812	8
95	3856	8
96	3887	8
97	3940	8
98	3984	8
99	4015	8
100	4068	8
101	4112	8
102	4143	8
103	4196	8
104	4240	8
105	4271	8
106	4324	8
107	4368	8
108	4399	8
109	4452	8
110	4496	8
111	4527	8
112	4580	8
113	4624	8
114	4655	8
115	4708	8
116	4752	8
117	4783	8
118	4836	8
119	4880	8
120	4911	8
121	4964	8
done	5000	8

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: 14.2b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (log (/ x y))) z)
0.3b	(* x (log (/ x y)))
13.8b	(log (/ x y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

65×	`log-prod`
45×	`times-frac`
42×	`add-sqr-sqrt`
40×	`add-cube-cbrt` `*-un-lft-identity`
26×	`distribute-rgt-in` `distribute-lft-in` `associate--l+`
8×	`add-exp-log`
7×	`pow1`
5×	`add-cbrt-cube` `div-inv` `add-log-exp`
4×	`associate-r`
3×	`associate-l`
2×	`rem-log-exp` `log-pow`
1×	`sub-neg` `log-div` `flip3--` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

3 → 107

Calls

3 calls:

8.0ms	(- (* x (log (/ x y))) z)
6.0ms	(* x (log (/ x y)))
3.0ms	(log (/ x y))

series37.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(- (* x (log (/ x y))) z)
14.0ms	(* x (log (/ x y)))
8.0ms	(log (/ x y))

simplify593.0ms

Counts

116 → 116

Iterations

Useful iterations: 3 (239.0ms)

Iter	Nodes	Cost
0	198	1310
1	364	1230
2	834	1141
3	2505	1116
done	5001	1116

prune150.0ms

Filtered

81 candidates to 116 candidates (-43.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	108	8	116
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	8	117

Merged error: 0.0b

Counts

117 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series100.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt x)
24.0ms	(cbrt x)
27.0ms	(cbrt y)
25.0ms	(cbrt y)

simplify843.0ms

Counts

56 → 56

Iterations

Useful iterations: 5 (237.0ms)

Iter	Nodes	Cost
0	60	320
1	106	300
2	199	260
3	441	220
4	1034	208
5	2422	200
done	5001	200

prune86.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt x)
0.5b	(cbrt x)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series99.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt x)
24.0ms	(cbrt x)
28.0ms	(cbrt y)
23.0ms	(cbrt y)

simplify604.0ms

Counts

56 → 56

Iterations

Useful iterations: 5 (242.0ms)

Iter	Nodes	Cost
0	60	320
1	106	300
2	199	260
3	441	220
4	1034	208
5	2755	200
done	5000	200

prune88.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
5.2b	(log (/ x (cbrt y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

22×	`log-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac`
7×	`add-exp-log`
5×	`pow1`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
2×	`rem-log-exp`
1×	`log-div` `div-exp` `log-pow` `div-inv`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
4.0ms	(log (/ x (cbrt y)))

series104.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt y)
29.0ms	(cbrt y)
24.0ms	(cbrt y)
28.0ms	(log (/ x (cbrt y)))

simplify573.0ms

Counts

78 → 78

Iterations

Useful iterations: 4 (306.0ms)

Iter	Nodes	Cost
0	127	667
1	244	625
2	504	565
3	1393	519
4	3485	493
done	5001	493

prune98.0ms

Filtered

56 candidates to 78 candidates (-39.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	77	9	86

Merged error: 0b

Counts

86 → 9

regimes341.0ms

Accuracy

0% (0.2b 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	12	19
1	15	19
done	15	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

331.0ms	8038×	body	80	valid
277.0ms	8049×	body	80	nan

Details

sample43.0ms

simplify3.0s

prune3.0ms

localize7.0ms

rewrite22.0ms

series37.0ms

simplify593.0ms

prune150.0ms

localize13.0ms

rewrite7.0ms

series100.0ms

simplify843.0ms

prune86.0ms

localize15.0ms

rewrite7.0ms

series99.0ms

simplify604.0ms

prune88.0ms

localize19.0ms

rewrite10.0ms

series104.0ms

simplify573.0ms

prune98.0ms

regimes341.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling