Details

sample175.0ms

Algorithm

intervals

Results

87.0ms

505×

body

valid

simplify7.5s

Counts

1 → 1

Iterations

Useful iterations: 5 (6.2s)

Iter	Nodes	Cost
0	28	31
1	67	29
2	221	27
3	757	27
4	2623	27
5	4397	26
done	5000	26

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.7b	(* (* j 27.0) k)
4.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite577.0ms

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:

39.0ms	(* (* x 18.0) y)
35.0ms	(* (* j 27.0) k)
120.0ms	(* (* (* x 18.0) y) z)
377.0ms	(* (* (* (* x 18.0) y) z) t)

series155.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
20.0ms	(* (* j 27.0) k)
40.0ms	(* (* (* x 18.0) y) z)
69.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.7s

Counts

101 → 101

Iterations

Useful iterations: 2 (373.0ms)

Iter	Nodes	Cost
0	145	974
1	358	944
2	1718	738
done	5000	738

prune541.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
4.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite518.0ms

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:

37.0ms	(* (* x 18.0) y)
34.0ms	(* j (* 27.0 k))
98.0ms	(* (* (* x 18.0) y) z)
343.0ms	(* (* (* (* x 18.0) y) z) t)

series205.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 18.0) y)
26.0ms	(* j (* 27.0 k))
68.0ms	(* (* (* x 18.0) y) z)
78.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.9s

Counts

101 → 101

Iterations

Useful iterations: 2 (444.0ms)

Iter	Nodes	Cost
0	143	971
1	350	943
2	1659	737
done	5000	737

prune636.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* k j))
4.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite345.0ms

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:

18.0ms	(* (* x 18.0) y)
17.0ms	(* 27.0 (* k j))
74.0ms	(* (* (* x 18.0) y) z)
232.0ms	(* (* (* (* x 18.0) y) z) t)

series167.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 18.0) y)
24.0ms	(* 27.0 (* k j))
36.0ms	(* (* (* x 18.0) y) z)
83.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.6s

Counts

101 → 101

Iterations

Useful iterations: 2 (336.0ms)

Iter	Nodes	Cost
0	141	971
1	346	943
2	1636	737
done	5000	737

prune477.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
0.3b	(* (sqrt 27.0) (* k j))
4.1b	(* (* (* x 18.0) y) z)
4.8b	(* (* (* (* x 18.0) y) z) t)

rewrite371.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1` `add-exp-log` `add-cbrt-cube`
25×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`associate-l`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 98

Calls

4 calls:

55.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
21.0ms	(* (sqrt 27.0) (* k j))
56.0ms	(* (* (* x 18.0) y) z)
235.0ms	(* (* (* (* x 18.0) y) z) t)

series258.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
59.0ms	(* (sqrt 27.0) (* k j))
42.0ms	(* (* (* x 18.0) y) z)
65.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.9s

Counts

110 → 110

Iterations

Useful iterations: 2 (363.0ms)

Iter	Nodes	Cost
0	154	1208
1	390	1050
2	1778	828
done	5000	828

prune567.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes2.0s

Accuracy

47.2% (2.9b remaining)

Error of 3.1b against oracle of 0.2b and baseline of 5.7b

bsearch5.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	55	148
1	79	148
done	79	148

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.1s

16240×

body

valid