Details

sample156.0ms

Algorithm

intervals

Results

83.0ms

523×

body

valid

simplify12.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	580	29
4	1150	29
5	1744	29
6	2360	29
7	3087	29
8	3421	29
done	3421	29

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 4.0) t)
0.4b	(* (* j 27.0) k)
3.8b	(* (* (* x 18.0) y) z)
3.9b	(* (* (* (* x 18.0) y) z) t)

rewrite426.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

30.0ms	(* (* a 4.0) t)
29.0ms	(* (* j 27.0) k)
84.0ms	(* (* (* x 18.0) y) z)
279.0ms	(* (* (* (* x 18.0) y) z) t)

series164.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* a 4.0) t)
27.0ms	(* (* j 27.0) k)
42.0ms	(* (* (* x 18.0) y) z)
66.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 2 (396.0ms)

Iter	Nodes	Cost
0	156	914
1	411	884
2	1855	678
done	5000	678

prune431.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* a 4.0) t)
3.8b	(* (* (* x 18.0) y) z)
3.9b	(* (* (* (* x 18.0) y) z) t)

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

18.0ms	(* (* x 18.0) y)
18.0ms	(* (* a 4.0) t)
54.0ms	(* (* (* x 18.0) y) z)
194.0ms	(* (* (* (* x 18.0) y) z) t)

series164.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x 18.0) y)
34.0ms	(* (* a 4.0) t)
42.0ms	(* (* (* x 18.0) y) z)
56.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 2 (356.0ms)

Iter	Nodes	Cost
0	130	914
1	342	884
2	1707	678
done	5001	678

prune479.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
3.8b	(* (* (* x 18.0) y) z)
3.9b	(* (* (* (* x 18.0) y) z) t)

rewrite425.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

21.0ms	(* j (* 27.0 k))
27.0ms	(* (* x 18.0) y)
80.0ms	(* (* (* x 18.0) y) z)
294.0ms	(* (* (* (* x 18.0) y) z) t)

series144.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* j (* 27.0 k))
21.0ms	(* (* x 18.0) y)
47.0ms	(* (* (* x 18.0) y) z)
57.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 2 (361.0ms)

Iter	Nodes	Cost
0	135	911
1	342	883
2	1649	677
done	5001	677

prune443.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* k j))
3.8b	(* (* (* x 18.0) y) z)
3.9b	(* (* (* (* x 18.0) y) z) t)

rewrite364.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
20.0ms	(* 27.0 (* k j))
77.0ms	(* (* (* x 18.0) y) z)
235.0ms	(* (* (* (* x 18.0) y) z) t)

series166.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x 18.0) y)
30.0ms	(* 27.0 (* k j))
40.0ms	(* (* (* x 18.0) y) z)
65.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: 2 (336.0ms)

Iter	Nodes	Cost
0	133	911
1	338	883
2	1652	677
done	5000	677

prune421.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

32.5% (2.8b remaining)

Error of 3.8b against oracle of 1.0b and baseline of 5.2b

bsearch427.0ms

Steps

Iters	Range		Point
7	10041403508320548.0	1.8511392904370698e+18	5.560949514311515e+16
9	-6.387355482749229e-73	-2.251692931929497e-82	-3.8528012138105515e-73

simplify9.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	53	109
1	78	101
done	78	101

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.3s

16170×

body

valid