Details

sample82.0ms

Algorithm

intervals

Results

33.0ms

562×

body

valid

simplify145.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14
done	5001	14

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
4.4b	(* (* (* x 18.0) y) z)
5.7b	(* (* (* (* x 18.0) y) z) t)

rewrite260.0ms

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:

16.0ms	(* (* j 27.0) k)
16.0ms	(* (* x 18.0) y)
51.0ms	(* (* (* x 18.0) y) z)
174.0ms	(* (* (* (* x 18.0) y) z) t)

series115.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* j 27.0) k)
20.0ms	(* (* x 18.0) y)
28.0ms	(* (* (* x 18.0) y) z)
47.0ms	(* (* (* (* x 18.0) y) z) t)

simplify65.0ms

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	360	423
1	2141	320
2	5001	320
done	5001	320

prune270.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
4.4b	(* (* (* x 18.0) y) z)
5.7b	(* (* (* (* x 18.0) y) z) t)

rewrite256.0ms

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:

16.0ms	(* (* x 18.0) y)
16.0ms	(* j (* 27.0 k))
50.0ms	(* (* (* x 18.0) y) z)
171.0ms	(* (* (* (* x 18.0) y) z) t)

series110.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
29.0ms	(* (* (* x 18.0) y) z)
44.0ms	(* (* (* (* x 18.0) y) z) t)

simplify62.0ms

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	352	422
1	2030	319
2	5002	319
done	5002	319

prune277.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

5.7b	(* (* (* (* x 18.0) y) z) t)
6.1b	(cbrt (* (* j 27.0) k))
6.1b	(cbrt (* (* j 27.0) k))
6.1b	(cbrt (* (* j 27.0) k))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 51

Calls

4 calls:

172.0ms	(* (* (* (* x 18.0) y) z) t)
13.0ms	(cbrt (* (* j 27.0) k))
11.0ms	(cbrt (* (* j 27.0) k))
12.0ms	(cbrt (* (* j 27.0) k))

series323.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (* (* x 18.0) y) z) t)
92.0ms	(cbrt (* (* j 27.0) k))
93.0ms	(cbrt (* (* j 27.0) k))
93.0ms	(cbrt (* (* j 27.0) k))

simplify45.0ms

Counts

63 → 63

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	295	370
1	1269	304
2	5002	280
done	5002	280

prune319.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* (* x 18.0) y) z)
5.7b	(* (* (* (* x 18.0) y) z) t)
6.1b	(cbrt (* (* j 27.0) k))
6.1b	(cbrt (* (* j 27.0) k))

rewrite246.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`add-log-exp`
2×	`cbrt-prod` `pow1/3` `associate-l` `*-commutative`

Counts

4 → 63

Calls

4 calls:

50.0ms	(* (* (* x 18.0) y) z)
169.0ms	(* (* (* (* x 18.0) y) z) t)
12.0ms	(cbrt (* (* j 27.0) k))
14.0ms	(cbrt (* (* j 27.0) k))

series257.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* (* x 18.0) y) z)
44.0ms	(* (* (* (* x 18.0) y) z) t)
93.0ms	(cbrt (* (* j 27.0) k))
93.0ms	(cbrt (* (* j 27.0) k))

simplify56.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	320	415
1	1570	328
2	5001	312
done	5001	312

prune319.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.3b

regimes1.3s

Accuracy

46.2% (2.5b remaining)

Error of 3.3b against oracle of 0.8b and baseline of 5.5b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	69
1	70	69
done	70	69

end0.0ms

sample2.2s

Algorithm

intervals

Results

997.0ms

16228×

body

valid