Details

sample209.0ms

Algorithm

intervals

Results

118.0ms

519×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: done (4.4s)

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* j 27.0) k)
0.4b	(* (* x 18.0) y)
3.5b	(* (* (* x 18.0) y) z)
5.6b	(* (* (* (* x 18.0) y) z) t)

rewrite411.0ms

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:

19.0ms	(* (* j 27.0) k)
25.0ms	(* (* x 18.0) y)
66.0ms	(* (* (* x 18.0) y) z)
297.0ms	(* (* (* (* x 18.0) y) z) t)

series244.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* j 27.0) k)
50.0ms	(* (* x 18.0) y)
71.0ms	(* (* (* x 18.0) y) z)
88.0ms	(* (* (* (* x 18.0) y) z) t)

simplify3.3s

Counts

101 → 101

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	145	974
1	379	944
2	3069	780
done	5001	774

prune664.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.8b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* y 18.0))
0.3b	(* (* j 27.0) k)
3.5b	(* (* x (* y 18.0)) z)
5.6b	(* (* (* x (* y 18.0)) z) t)

rewrite358.0ms

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:

32.0ms	(* x (* y 18.0))
28.0ms	(* (* j 27.0) k)
56.0ms	(* (* x (* y 18.0)) z)
236.0ms	(* (* (* x (* y 18.0)) z) t)

series183.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* x (* y 18.0))
33.0ms	(* (* j 27.0) k)
34.0ms	(* (* x (* y 18.0)) z)
79.0ms	(* (* (* x (* y 18.0)) z) t)

simplify2.3s

Counts

101 → 101

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	142	973
1	370	945
2	2539	763
done	5000	743

prune464.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.8b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* j 27.0) k)
0.3b	(* (* y x) 18.0)
3.5b	(* (* (* y x) 18.0) z)
5.6b	(* (* (* (* y x) 18.0) z) t)

rewrite381.0ms

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:

23.0ms	(* (* j 27.0) k)
21.0ms	(* (* y x) 18.0)
73.0ms	(* (* (* y x) 18.0) z)
261.0ms	(* (* (* (* y x) 18.0) z) t)

series199.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (* j 27.0) k)
43.0ms	(* (* y x) 18.0)
56.0ms	(* (* (* y x) 18.0) z)
64.0ms	(* (* (* (* y x) 18.0) z) t)

simplify2.7s

Counts

101 → 101

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	145	974
1	379	944
2	2665	780
done	5001	774

prune610.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.8b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.4b	(* (* x 18.0) y)
3.5b	(* (* (* x 18.0) y) z)
5.6b	(* (* (* (* x 18.0) y) z) t)

rewrite415.0ms

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:

27.0ms	(* j (* 27.0 k))
29.0ms	(* (* x 18.0) y)
76.0ms	(* (* (* x 18.0) y) z)
279.0ms	(* (* (* (* x 18.0) y) z) t)

series130.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* j (* 27.0 k))
27.0ms	(* (* x 18.0) y)
33.0ms	(* (* (* x 18.0) y) z)
51.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.8s

Counts

101 → 101

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	143	971
1	367	943
2	2805	775
done	5000	773

prune568.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.8b

regimes1.1s

Accuracy

31.5% (3.3b remaining)

Error of 3.9b against oracle of 0.7b and baseline of 5.5b

bsearch401.0ms

Steps

Iters	Range		Point
7	4.3511264724805166e-64	5.4873591195100445e-62	4.339340101075433e-63
10	-1.1793351489066978e-177	-1.6636412691945788e-189	-4.80252135313659e-178

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	46	90
1	64	86
done	64	86

end0.0ms

sample5.1s

Algorithm

intervals

Results

3.4s

16342×

body

valid