Details

sample112.0ms

Algorithm

intervals

Results

63.0ms

573×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2272
4	1125
3	543
2	196
1	66
0	28

prune39.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
5.4b	(* (* (* x 18.0) y) z)
7.2b	(* (* (* (* x 18.0) y) z) t)

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

13.0ms	(* (* x 18.0) y)
13.0ms	(* (* j 27.0) k)
46.0ms	(* (* (* x 18.0) y) z)
188.0ms	(* (* (* (* x 18.0) y) z) t)

series174.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x 18.0) y)
22.0ms	(* (* j 27.0) k)
46.0ms	(* (* (* x 18.0) y) z)
76.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1416
1	366
0	137

prune773.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.8b

localize77.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* j k))
5.4b	(* (* (* x 18.0) y) z)
7.2b	(* (* (* (* x 18.0) y) z) t)

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

27.0ms	(* (* x 18.0) y)
17.0ms	(* 27.0 (* j k))
50.0ms	(* (* (* x 18.0) y) z)
221.0ms	(* (* (* (* x 18.0) y) z) t)

series178.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 18.0) y)
41.0ms	(* 27.0 (* j k))
50.0ms	(* (* (* x 18.0) y) z)
61.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1380
1	350
0	133

prune951.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize72.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* x y))
0.4b	(* (* j 27.0) k)
5.4b	(* (* 18.0 (* x y)) z)
7.2b	(* (* (* 18.0 (* x y)) z) t)

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

23.0ms	(* 18.0 (* x y))
25.0ms	(* (* j 27.0) k)
42.0ms	(* (* 18.0 (* x y)) z)
170.0ms	(* (* (* 18.0 (* x y)) z) t)

series147.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* 18.0 (* x y))
27.0ms	(* (* j 27.0) k)
34.0ms	(* (* 18.0 (* x y)) z)
63.0ms	(* (* (* 18.0 (* x y)) z) t)

simplify1.6s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1431
1	354
0	133

prune807.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* x y))
0.7b	(* j (* 27.0 k))
5.4b	(* (* 18.0 (* x y)) z)
7.2b	(* (* (* 18.0 (* x y)) z) t)

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

19.0ms	(* 18.0 (* x y))
12.0ms	(* j (* 27.0 k))
60.0ms	(* (* 18.0 (* x y)) z)
186.0ms	(* (* (* 18.0 (* x y)) z) t)

series155.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* 18.0 (* x y))
24.0ms	(* j (* 27.0 k))
39.0ms	(* (* 18.0 (* x y)) z)
64.0ms	(* (* (* 18.0 (* x y)) z) t)

simplify1.3s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1417
1	343
0	131

prune867.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

regimes2.9s

Accuracy

32.2% (3.6b remaining)

Error of 4.1b against oracle of 0.5b and baseline of 5.9b

bsearch524.0ms

Steps

Iters	Range		Point
7	2.0501094222763932e+237	1.090881375830939e+239	9.457178616359135e+237
7	2.855180890338524e+53	2.172246472013588e+55	3.513749760257365e+54
9	-6.325039929345352e+73	-1.0679475854117359e+68	-6.163897221999322e+68

simplify22.0ms

Iterations

Iter	Nodes
done	75
1	75
0	53

end0.0ms

sample4.2s

Algorithm

intervals

Results

3.1s

16446×

body

valid