Details

sample33.0ms

Algorithm

intervals

Results

8.0ms	276×	body	80	valid
7.0ms	249×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	13	8
2	23	8
3	38	8
4	55	8
5	70	8
6	88	8
7	110	8
8	134	8
9	184	8
10	225	8
11	297	8
12	342	8
13	383	8
14	446	8
15	491	8
16	532	8
17	595	8
18	640	8
19	681	8
20	744	8
21	789	8
22	830	8
23	893	8
24	938	8
25	979	8
26	1042	8
27	1087	8
28	1128	8
29	1191	8
30	1236	8
31	1277	8
32	1340	8
33	1385	8
34	1426	8
35	1489	8
36	1534	8
37	1575	8
38	1638	8
39	1683	8
40	1724	8
41	1787	8
42	1832	8
43	1873	8
44	1936	8
45	1981	8
46	2022	8
47	2085	8
48	2130	8
49	2171	8
50	2234	8
51	2279	8
52	2320	8
53	2383	8
54	2428	8
55	2469	8
56	2532	8
57	2577	8
58	2618	8
59	2681	8
60	2726	8
61	2767	8
62	2830	8
63	2875	8
64	2916	8
65	2979	8
66	3024	8
67	3065	8
68	3128	8
69	3173	8
70	3214	8
71	3277	8
72	3322	8
73	3363	8
74	3426	8
75	3471	8
76	3512	8
77	3575	8
78	3620	8
79	3661	8
80	3724	8
81	3769	8
82	3810	8
83	3873	8
84	3918	8
85	3959	8
86	4022	8
87	4067	8
88	4108	8
89	4171	8
90	4216	8
91	4257	8
92	4320	8
93	4365	8
94	4406	8
95	4469	8
96	4514	8
97	4555	8
98	4618	8
99	4663	8
100	4704	8
101	4767	8
102	4812	8
103	4853	8
104	4916	8
105	4961	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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (- 1.0 x) (* y (sqrt x)))
0.3b	(* y (sqrt x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-log-exp`
6×	`associate-r`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
3×	`associate-l`
2×	`associate-+l+` `sum-log` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 37

Calls

2 calls:

7.0ms	(+ (- 1.0 x) (* y (sqrt x)))
6.0ms	(* y (sqrt x))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+ (- 1.0 x) (* y (sqrt x)))
7.0ms	(* y (sqrt x))

simplify620.0ms

Counts

43 → 43

Iterations

Useful iterations: 3 (200.0ms)

Iter	Nodes	Cost
0	93	442
1	239	411
2	728	385
3	2176	370
done	5001	370

prune73.0ms

Filtered

32 candidates to 43 candidates (-34.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	37	6	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	7	44

Merged error: 0.0b

Counts

44 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt x))
0.1b	(sqrt (sqrt x))
0.3b	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
0.3b	(* y (sqrt (sqrt x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (sqrt x))
2.0ms	(sqrt (sqrt x))
11.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
7.0ms	(* y (sqrt (sqrt x)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(sqrt (sqrt x))
22.0ms	(sqrt (sqrt x))
8.0ms	(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
13.0ms	(* y (sqrt (sqrt x)))

simplify700.0ms

Counts

100 → 100

Iterations

Useful iterations: 3 (281.0ms)

Iter	Nodes	Cost
0	129	917
1	323	737
2	997	650
3	2550	630
done	5000	630

prune124.0ms

Filtered

57 candidates to 100 candidates (-75.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	94	6	100
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	98	9	107

Merged error: 0b

Counts

107 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (sqrt (sqrt x)))
0.2b	(* y (sqrt (sqrt (sqrt x))))
0.3b	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
0.3b	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-prod`
33×	`associate-r`
30×	`add-sqr-sqrt`
23×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`sqrt-pow1`
5×	`associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`rem-sqrt-square` `pow1/2` `*-commutative`

Counts

4 → 109

Calls

4 calls:

3.0ms	(sqrt (sqrt (sqrt x)))
9.0ms	(* y (sqrt (sqrt (sqrt x))))
14.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
18.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(sqrt (sqrt (sqrt x)))
20.0ms	(* y (sqrt (sqrt (sqrt x))))
13.0ms	(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
8.0ms	(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

simplify573.0ms

Counts

121 → 121

Iterations

Useful iterations: done (570.0ms)

Iter	Nodes	Cost
0	190	1621
1	492	1174
2	1678	920
done	5000	912

prune130.0ms

Filtered

68 candidates to 121 candidates (-77.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	121	9	130

Merged error: 0b

Counts

130 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
0.3b	(* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x))))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

18.0ms	(* (* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
10.0ms	(* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x))))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series137.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x)))) (sqrt (sqrt x)))
40.0ms	(* (* y (sqrt (fabs (cbrt x)))) (sqrt (sqrt (cbrt x))))
27.0ms	(cbrt x)
27.0ms	(cbrt x)

simplify483.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	178	1320
1	436	1150
2	1585	1002
done	5000	1002

prune107.0ms

Filtered

56 candidates to 88 candidates (-57.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	88	9	97

Merged error: 0b

Counts

97 → 9

regimes206.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	9	8
done	9	8

end0.0ms

sample986.0ms

Algorithm

intervals

Results

264.0ms	8584×	body	80	valid
247.0ms	8398×	body	80	nan
0.0ms	1×	body	1280	valid

Details

sample33.0ms

simplify1.8s

prune3.0ms

localize6.0ms

rewrite14.0ms

series15.0ms

simplify620.0ms

prune73.0ms

localize9.0ms

rewrite25.0ms

series61.0ms

simplify700.0ms

prune124.0ms

localize11.0ms

rewrite47.0ms

series61.0ms

simplify573.0ms

prune130.0ms

localize16.0ms

rewrite34.0ms

series137.0ms

simplify483.0ms

prune107.0ms

regimes206.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample986.0ms

Profiling