Details

sample174.0ms

Algorithm

intervals

Results

92.0ms

505×

body

valid

simplify6.6s

Counts

1 → 1

Iterations

Useful iterations: 5 (5.5s)

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize57.0ms

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)

rewrite458.0ms

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:

26.0ms	(* (* x 18.0) y)
39.0ms	(* (* j 27.0) k)
99.0ms	(* (* (* x 18.0) y) z)
291.0ms	(* (* (* (* x 18.0) y) z) t)

series185.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* x 18.0) y)
31.0ms	(* (* j 27.0) k)
50.0ms	(* (* (* x 18.0) y) z)
67.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.8s

Counts

101 → 101

Iterations

Useful iterations: 2 (433.0ms)

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

prune571.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

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)

rewrite347.0ms

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:

31.0ms	(* (* x 18.0) y)
18.0ms	(* j (* 27.0 k))
70.0ms	(* (* (* x 18.0) y) z)
222.0ms	(* (* (* (* x 18.0) y) z) t)

series186.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x 18.0) y)
26.0ms	(* j (* 27.0 k))
48.0ms	(* (* (* x 18.0) y) z)
84.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.6s

Counts

101 → 101

Iterations

Useful iterations: 2 (312.0ms)

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

prune612.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

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)

rewrite452.0ms

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:

19.0ms	(* (* x 18.0) y)
17.0ms	(* 27.0 (* k j))
89.0ms	(* (* (* x 18.0) y) z)
322.0ms	(* (* (* (* x 18.0) y) z) t)

series216.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* x 18.0) y)
54.0ms	(* 27.0 (* k j))
34.0ms	(* (* (* x 18.0) y) z)
82.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.0s

Counts

101 → 101

Iterations

Useful iterations: 2 (505.0ms)

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

prune616.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

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)

rewrite510.0ms

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:

73.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
21.0ms	(* (sqrt 27.0) (* k j))
78.0ms	(* (* (* x 18.0) y) z)
331.0ms	(* (* (* (* x 18.0) y) z) t)

series384.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (sqrt 27.0) (* (sqrt 27.0) (* k j)))
87.0ms	(* (sqrt 27.0) (* k j))
53.0ms	(* (* (* x 18.0) y) z)
113.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.3s

Counts

110 → 110

Iterations

Useful iterations: 2 (831.0ms)

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

prune663.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes1.9s

Accuracy

47.2% (2.9b remaining)

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

bsearch7.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	148
1	75	148
done	75	148

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.7s

16240×

body

valid