Details

sample31.0ms

Algorithm

intervals

Results

11.0ms	243×	body	80	valid
1.0ms	7×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	2×	body	320	valid

simplify5.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
130	4998
129	4963
128	4928
127	4889
126	4852
125	4817
124	4780
123	4743
122	4706
121	4668
120	4633
119	4596
118	4555
117	4520
116	4485
115	4446
114	4409
113	4374
112	4337
111	4300
110	4263
109	4227
108	4192
107	4155
106	4114
105	4079
104	4044
103	4005
102	3968
101	3933
100	3896
99	3859
98	3822
97	3786
96	3751
95	3714
94	3673
93	3638
92	3603
91	3564
90	3527
89	3492
88	3455
87	3418
86	3381
85	3343
84	3308
83	3271
82	3232
81	3197
80	3162
79	3123
78	3086
77	3051
76	3014
75	2977
74	2940
73	2902
72	2867
71	2830
70	2791
69	2756
68	2721
67	2682
66	2645
65	2610
64	2573
63	2536
62	2499
61	2463
60	2428
59	2391
58	2350
57	2315
56	2280
55	2241
54	2204
53	2169
52	2132
51	2095
50	2058
49	2020
48	1985
47	1948
46	1909
45	1874
44	1839
43	1800
42	1763
41	1728
40	1691
39	1654
38	1617
37	1581
36	1546
35	1509
34	1470
33	1435
32	1400
31	1361
30	1324
29	1289
28	1252
27	1215
26	1178
25	1142
24	1107
23	1070
22	1027
21	992
20	957
19	918
18	881
17	846
16	809
15	774
14	738
13	687
12	637
11	567
10	519
9	420
8	245
7	154
6	94
5	54
4	39
3	29
2	19
1	12
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

43.0ms

(+ x (/ (- x y) 2.0))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(+ x (/ (- x y) 2.0))

simplify4.0s

Counts

16 → 16

Iterations

Iter	Nodes
done	5019
4	3311
3	730
2	250
1	92
0	34

prune136.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* 1.5 x) (* 0.5 y))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

16.0ms

(- (* 1.5 x) (* 0.5 y))

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(- (* 1.5 x) (* 0.5 y))

simplify4.5s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
4	1724
3	732
2	259
1	88
0	29

prune120.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
0.0b	(- x (/ (- x y) 2.0))
11.4b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
28.5b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite290.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
106×	`times-frac`
56×	`add-cube-cbrt`
32×	`difference-of-squares`
25×	`swap-sqr`
24×	`distribute-lft-out--`
19×	`associate-r` `associate-l`
18×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
8×	`add-log-exp`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `frac-2neg` `pow-plus` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `pow-sqr` `*-commutative` `pow-prod-up` `associate--r-`

Counts

4 → 171

Calls

4 calls:

103.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
40.0ms	(- x (/ (- x y) 2.0))
17.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
115.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

series439.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
113.0ms	(- x (/ (- x y) 2.0))
68.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
181.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify4.2s

Counts

183 → 183

Iterations

Iter	Nodes
done	5000
2	2812
1	828
0	260

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize483.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (- x y) 2.0))
0.2b	(/ (/ (- x (/ (- x y) 2.0)) (+ (/ (- x y) 2.0) x)) (- x (/ (- x y) 2.0)))
0.2b	(/ (- x (/ (- x y) 2.0)) (+ (/ (- x y) 2.0) x))
0.2b	(/ 1 (/ (/ (- x (/ (- x y) 2.0)) (+ (/ (- x y) 2.0) x)) (- x (/ (- x y) 2.0))))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

2507×	`times-frac`
2104×	`add-sqr-sqrt`
1647×	`*-un-lft-identity`
699×	`add-cube-cbrt`
562×	`difference-of-squares`
281×	`distribute-lft-out--`
196×	`associate-/r*`
193×	`distribute-lft-out`
75×	`associate-/r/`
39×	`associate-/l*`
38×	`div-inv`
32×	`add-exp-log` `flip3-+` `flip-+`
20×	`add-cbrt-cube`
19×	`div-exp`
10×	`cbrt-undiv`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1`
4×	`div-sub`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `inv-pow` `associate--r-`

Counts

4 → 1073

Calls

4 calls:

40.0ms	(- x (/ (- x y) 2.0))
362.0ms	(/ (/ (- x (/ (- x y) 2.0)) (+ (/ (- x y) 2.0) x)) (- x (/ (- x y) 2.0)))
222.0ms	(/ (- x (/ (- x y) 2.0)) (+ (/ (- x y) 2.0) x))
359.0ms	(/ 1 (/ (/ (- x (/ (- x y) 2.0)) (+ (/ (- x y) 2.0) x)) (- x (/ (- x y) 2.0))))

series637.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- x (/ (- x y) 2.0))
231.0ms	(/ (/ (- x (/ (- x y) 2.0)) (+ (/ (- x y) 2.0) x)) (- x (/ (- x y) 2.0)))
250.0ms	(/ (- x (/ (- x y) 2.0)) (+ (/ (- x y) 2.0) x))
92.0ms	(/ 1 (/ (/ (- x (/ (- x y) 2.0)) (+ (/ (- x y) 2.0) x)) (- x (/ (- x y) 2.0))))

simplify11.0s

Counts

1085 → 1085

Iterations

Iter	Nodes
done	5002
1	3032
0	1031

prune9.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample2.5s

Algorithm

intervals

Results

2.0s	7382×	body	80	valid
67.0ms	226×	body	1280	valid
38.0ms	158×	body	640	valid
35.0ms	94×	body	2560	valid
35.0ms	93×	body	320	valid
4.0ms	48×	body	160	valid