Details

sample166.0ms

Algorithm

intervals

Results

100.0ms

573×

body

valid

simplify5.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
4	3800
3	809
2	221
1	67
0	28

prune39.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite311.0ms

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

Counts

4 → 89

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
27.0ms	(* (* 27.0 j) k)
51.0ms	(* (* (* x 18.0) y) z)
202.0ms	(* t (* (* (* x 18.0) y) z))

series181.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* x 18.0) y)
24.0ms	(* (* 27.0 j) k)
49.0ms	(* (* (* x 18.0) y) z)
65.0ms	(* t (* (* (* x 18.0) y) z))

simplify2.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	2777
1	374
0	142

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.8b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* 27.0 j) k)
5.5b	(* t (* (* x 18.0) y))
6.4b	(* (* t (* (* x 18.0) y)) z)

rewrite213.0ms

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

Counts

4 → 89

Calls

4 calls:

13.0ms	(* (* x 18.0) y)
18.0ms	(* (* 27.0 j) k)
43.0ms	(* t (* (* x 18.0) y))
135.0ms	(* (* t (* (* x 18.0) y)) z)

series202.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 18.0) y)
27.0ms	(* (* 27.0 j) k)
50.0ms	(* t (* (* x 18.0) y))
100.0ms	(* (* t (* (* x 18.0) y)) z)

simplify1.8s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2473
1	380
0	143

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(* t (* x 18.0))
0.4b	(* (* 27.0 j) k)
1.9b	(* (* t (* x 18.0)) y)
6.4b	(* (* (* t (* x 18.0)) y) z)

rewrite288.0ms

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

Counts

4 → 89

Calls

4 calls:

23.0ms	(* t (* x 18.0))
14.0ms	(* (* 27.0 j) k)
67.0ms	(* (* t (* x 18.0)) y)
179.0ms	(* (* (* t (* x 18.0)) y) z)

series210.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* t (* x 18.0))
42.0ms	(* (* 27.0 j) k)
35.0ms	(* (* t (* x 18.0)) y)
103.0ms	(* (* (* t (* x 18.0)) y) z)

simplify2.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2627
1	370
0	143

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* t (* x 18.0))
0.3b	(* 27.0 (* j k))
1.9b	(* (* t (* x 18.0)) y)
6.4b	(* (* (* t (* x 18.0)) y) z)

rewrite292.0ms

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

Counts

4 → 89

Calls

4 calls:

13.0ms	(* t (* x 18.0))
19.0ms	(* 27.0 (* j k))
67.0ms	(* (* t (* x 18.0)) y)
189.0ms	(* (* (* t (* x 18.0)) y) z)

series195.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* t (* x 18.0))
40.0ms	(* 27.0 (* j k))
52.0ms	(* (* t (* x 18.0)) y)
61.0ms	(* (* (* t (* x 18.0)) y) z)

simplify2.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5000
2	2221
1	355
0	140

prune792.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes1.9s

Accuracy

56.7% (2.0b remaining)

Error of 2.0b against oracle of 0.1b and baseline of 4.7b

bsearch464.0ms

Steps

Iters	Range		Point
9	0.013220082409437133	1459.5441836454027	1208.5467001189036
8	-3.1472827154405617e+100	-6.279241610355285e+95	-6.442181096393705e+95

simplify28.0ms

Iterations

Iter	Nodes
done	55
1	55
0	39

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.6s

16446×

body

valid