Details

sample178.0ms

Algorithm

intervals

Results

104.0ms

510×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1710
3	614
2	201
1	66
0	28

prune54.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.1b

localize86.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* (* j 27.0) k)
5.3b	(* (* (* (* x 18.0) y) z) t)
5.8b	(* (* (* x 18.0) y) z)

rewrite324.0ms

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:

29.0ms	(* (* x 18.0) y)
29.0ms	(* (* j 27.0) k)
202.0ms	(* (* (* (* x 18.0) y) z) t)
58.0ms	(* (* (* x 18.0) y) z)

series194.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* x 18.0) y)
38.0ms	(* (* j 27.0) k)
56.0ms	(* (* (* (* x 18.0) y) z) t)
61.0ms	(* (* (* x 18.0) y) z)

simplify2.9s

Counts

93 → 93

Iterations

Iter	Nodes
done	5002
2	3135
1	370
0	137

prune984.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

5.8b	(* (* (* x 18.0) y) z)
6.7b	(cbrt (* j (* k 27.0)))
6.7b	(cbrt (* j (* k 27.0)))
6.7b	(cbrt (* j (* k 27.0)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

66.0ms	(* (* (* x 18.0) y) z)
9.0ms	(cbrt (* j (* k 27.0)))
9.0ms	(cbrt (* j (* k 27.0)))
9.0ms	(cbrt (* j (* k 27.0)))

series578.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (* (* x 18.0) y) z)
177.0ms	(cbrt (* j (* k 27.0)))
192.0ms	(cbrt (* j (* k 27.0)))
173.0ms	(cbrt (* j (* k 27.0)))

simplify828.0ms

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
2	1153
1	236
0	97

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize116.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (* (* (* x 18.0) y) z) t)
5.8b	(* (* (* x 18.0) y) z)
6.7b	(cbrt (* j (* k 27.0)))
6.7b	(cbrt (* j (* k 27.0)))

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

211.0ms	(* (* (* (* x 18.0) y) z) t)
84.0ms	(* (* (* x 18.0) y) z)
10.0ms	(cbrt (* j (* k 27.0)))
9.0ms	(cbrt (* j (* k 27.0)))

series462.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* (* (* x 18.0) y) z) t)
36.0ms	(* (* (* x 18.0) y) z)
195.0ms	(cbrt (* j (* k 27.0)))
177.0ms	(cbrt (* j (* k 27.0)))

simplify1.5s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	1997
1	323
0	126

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize149.0ms

Local error

Found 4 expressions with local error:

5.3b	(* (* (* (* y x) 18.0) z) t)
5.8b	(* (* (* y x) 18.0) z)
6.7b	(cbrt (* j (* k 27.0)))
6.7b	(cbrt (* j (* k 27.0)))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

194.0ms	(* (* (* (* y x) 18.0) z) t)
55.0ms	(* (* (* y x) 18.0) z)
9.0ms	(cbrt (* j (* k 27.0)))
10.0ms	(cbrt (* j (* k 27.0)))

series460.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (* (* (* y x) 18.0) z) t)
65.0ms	(* (* (* y x) 18.0) z)
149.0ms	(cbrt (* j (* k 27.0)))
165.0ms	(cbrt (* j (* k 27.0)))

simplify1.5s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	1846
1	326
0	126

prune1.1s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes4.1s

Accuracy

77.4% (1.3b remaining)

Error of 1.5b against oracle of 0.1b and baseline of 6.1b

bsearch3.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	89
2	89
1	88
0	60

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.8s

16476×

body

valid