Details

sample34.0ms

Algorithm

intervals

Results

15.0ms	350×	body	80	valid
1.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify23.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
71	4977
70	4950
69	4870
68	4837
67	4757
66	4724
65	4644
64	4611
63	4531
62	4498
61	4418
60	4385
59	4305
58	4272
57	4192
56	4159
55	4079
54	4046
53	3966
52	3933
51	3853
50	3820
49	3740
48	3707
47	3627
46	3594
45	3514
44	3481
43	3401
42	3368
41	3288
40	3255
39	3175
38	3142
37	3062
36	3029
35	2949
34	2916
33	2836
32	2803
31	2723
30	2690
29	2610
28	2577
27	2497
26	2464
25	2384
24	2351
23	2271
22	2238
21	2158
20	2125
19	2045
18	2012
17	1932
16	1899
15	1819
14	1786
13	1706
12	1673
11	1588
10	1558
9	1472
8	1435
7	1348
6	1255
5	998
4	545
3	219
2	82
1	30
0	12

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ (+ (+ y z) (+ y z)) t) x)
0.0b	(+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))

rewrite758.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
13×	`distribute-lft-out`
8×	`associate-l`
6×	`add-sqr-sqrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `sum-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

591.0ms	(* (+ (+ (+ y z) (+ y z)) t) x)
165.0ms	(+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))

series131.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* (+ (+ (+ y z) (+ y z)) t) x)
85.0ms	(+ (* y 5.0) (* (+ (+ (+ y z) (+ y z)) t) x))

simplify1.3s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
2	899
1	215
0	75

prune222.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x t) (* x (+ (+ y z) (+ y z))))
0.0b	(* x (+ (+ y z) (+ y z)))
0.0b	(+ (* y 5.0) (+ (* x t) (* x (+ (+ y z) (+ y z)))))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
20×	`associate-r`
17×	`distribute-lft-out`
11×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`add-cube-cbrt`
7×	`flip3-+` `flip-+`
6×	`distribute-rgt-out` `associate-*r/`
5×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`sum-log` `frac-add`
3×	`associate-+r+` `associate-l`
2×	`distribute-rgt-in` `+-commutative` `distribute-lft-in` `distribute-lft1-in` `distribute-rgt1-in`
1×	`count-2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 70

Calls

3 calls:

17.0ms	(+ (* x t) (* x (+ (+ y z) (+ y z))))
115.0ms	(* x (+ (+ y z) (+ y z)))
26.0ms	(+ (* y 5.0) (+ (* x t) (* x (+ (+ y z) (+ y z)))))

series249.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(+ (* x t) (* x (+ (+ y z) (+ y z))))
79.0ms	(* x (+ (+ y z) (+ y z)))
82.0ms	(+ (* y 5.0) (+ (* x t) (* x (+ (+ y z) (+ y z)))))

simplify1.9s

Counts

79 → 79

Iterations

Iter	Nodes
done	5005
2	2226
1	458
0	139

prune514.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))
0.6b	(cbrt (+ y z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

7.0ms	(cbrt (+ y z))
6.0ms	(cbrt (+ y z))
7.0ms	(cbrt (+ y z))
7.0ms	(cbrt (+ y z))

series747.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (+ y z))
181.0ms	(cbrt (+ y z))
186.0ms	(cbrt (+ y z))
187.0ms	(cbrt (+ y z))

simplify2.1s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
4	2070
3	799
2	314
1	127
0	57

prune634.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.5b	(cbrt x)
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

20.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

326.0ms	(* (cbrt x) (cbrt x))
265.0ms	(cbrt x)
273.0ms	(cbrt x)
303.0ms	(cbrt x)

simplify4.1s

Counts

85 → 85

Iterations

Iter	Nodes
done	5007
4	3735
3	1034
2	377
1	136
0	61

prune461.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes395.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

982.0ms	10708×	body	80	valid
25.0ms	82×	body	1280	valid
25.0ms	101×	body	640	valid
9.0ms	56×	body	320	valid
6.0ms	27×	body	160	valid