Details

sample144.0ms

Algorithm

intervals

Results

71.0ms

499×

body

valid

simplify4.5s

Counts

1 → 1

Iterations

Useful iterations: done (4.5s)

Iter	Nodes	Cost
0	28	31
1	67	29
2	221	27
3	795	27
4	3643	27
done	5000	26

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
4.5b	(* (* (* (* x 18.0) y) z) t)
5.6b	(* (* (* x 18.0) y) z)

rewrite514.0ms

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×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

22.0ms	(* (* j 27.0) k)
33.0ms	(* (* x 18.0) y)
353.0ms	(* (* (* (* x 18.0) y) z) t)
102.0ms	(* (* (* x 18.0) y) z)

series156.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* j 27.0) k)
28.0ms	(* (* x 18.0) y)
59.0ms	(* (* (* (* x 18.0) y) z) t)
37.0ms	(* (* (* x 18.0) y) z)

simplify3.4s

Counts

101 → 101

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	145	974
1	379	944
2	3109	776
done	5001	772

prune690.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
4.5b	(* (* (* (* x 18.0) y) z) t)
5.6b	(* (* (* x 18.0) y) z)

rewrite404.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

20.0ms	(* j (* 27.0 k))
27.0ms	(* (* x 18.0) y)
269.0ms	(* (* (* (* x 18.0) y) z) t)
82.0ms	(* (* (* x 18.0) y) z)

series142.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* j (* 27.0 k))
25.0ms	(* (* x 18.0) y)
62.0ms	(* (* (* (* x 18.0) y) z) t)
34.0ms	(* (* (* x 18.0) y) z)

simplify2.9s

Counts

101 → 101

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	143	971
1	367	943
2	2822	769
done	5001	767

prune655.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* 27.0 (* k j))
4.5b	(* (* (* (* x 18.0) y) z) t)
5.6b	(* (* (* x 18.0) y) z)

rewrite432.0ms

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×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
28.0ms	(* 27.0 (* k j))
275.0ms	(* (* (* (* x 18.0) y) z) t)
97.0ms	(* (* (* x 18.0) y) z)

series199.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* x 18.0) y)
42.0ms	(* 27.0 (* k j))
72.0ms	(* (* (* (* x 18.0) y) z) t)
50.0ms	(* (* (* x 18.0) y) z)

simplify2.8s

Counts

101 → 101

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	141	971
1	362	943
2	2795	769
done	5002	767

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* 18.0 (* t (* x (* z y))))
3.2b	(* x (* z y))
4.5b	(* t (* x (* z y)))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

17.0ms	(* j (* 27.0 k))
166.0ms	(* 18.0 (* t (* x (* z y))))
22.0ms	(* x (* z y))
74.0ms	(* t (* x (* z y)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* j (* 27.0 k))
63.0ms	(* 18.0 (* t (* x (* z y))))
36.0ms	(* x (* z y))
52.0ms	(* t (* x (* z y)))

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: 2 (228.0ms)

Iter	Nodes	Cost
0	129	958
1	316	936
2	1333	730
done	5001	730

prune501.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes1.0s

Accuracy

29.8% (3.7b remaining)

Error of 4.0b against oracle of 0.3b and baseline of 5.6b

bsearch475.0ms

Steps

Iters	Range		Point
8	5.074974945908304e-79	1.7766444356041197e-76	2.780589155175302e-77
8	-4.9830753480191605e-73	-1.66865335760955e-77	-3.624852689735997e-74

simplify16.0ms

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	47	94
1	65	86
2	66	86
done	66	86

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.2s

15985×

body

valid