Details

sample145.0ms

Algorithm

intervals

Results

71.0ms

523×

body

valid

simplify11.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	580	29
4	1150	29
5	1744	29
6	2360	29
7	3087	29
8	3421	29
done	3421	29

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.6b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 4.0) t)
0.4b	(* (* j 27.0) k)
3.8b	(* (* (* x 18.0) y) z)
3.9b	(* (* (* (* x 18.0) y) z) t)

rewrite296.0ms

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:

18.0ms	(* (* a 4.0) t)
17.0ms	(* (* j 27.0) k)
56.0ms	(* (* (* x 18.0) y) z)
201.0ms	(* (* (* (* x 18.0) y) z) t)

series127.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* a 4.0) t)
23.0ms	(* (* j 27.0) k)
31.0ms	(* (* (* x 18.0) y) z)
51.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 2 (342.0ms)

Iter	Nodes	Cost
0	156	914
1	411	884
2	1855	678
done	5000	678

prune453.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* a 4.0) t)
3.8b	(* (* (* x 18.0) y) z)
3.9b	(* (* (* (* x 18.0) y) z) t)

rewrite300.0ms

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:

20.0ms	(* (* x 18.0) y)
18.0ms	(* (* a 4.0) t)
55.0ms	(* (* (* x 18.0) y) z)
202.0ms	(* (* (* (* x 18.0) y) z) t)

series131.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 18.0) y)
26.0ms	(* (* a 4.0) t)
31.0ms	(* (* (* x 18.0) y) z)
50.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.7s

Counts

93 → 93

Iterations

Useful iterations: 2 (281.0ms)

Iter	Nodes	Cost
0	130	914
1	342	884
2	1707	678
done	5001	678

prune494.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
3.8b	(* (* (* x 18.0) y) z)
3.9b	(* (* (* (* x 18.0) y) z) t)

rewrite356.0ms

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:

23.0ms	(* j (* 27.0 k))
18.0ms	(* (* x 18.0) y)
78.0ms	(* (* (* x 18.0) y) z)
234.0ms	(* (* (* (* x 18.0) y) z) t)

series167.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* j (* 27.0 k))
25.0ms	(* (* x 18.0) y)
49.0ms	(* (* (* x 18.0) y) z)
73.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 2 (328.0ms)

Iter	Nodes	Cost
0	135	911
1	342	883
2	1649	677
done	5001	677

prune512.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* 27.0 (* k j))
3.8b	(* (* (* x 18.0) y) z)
3.9b	(* (* (* (* x 18.0) y) z) t)

rewrite380.0ms

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:

27.0ms	(* (* x 18.0) y)
29.0ms	(* 27.0 (* k j))
58.0ms	(* (* (* x 18.0) y) z)
263.0ms	(* (* (* (* x 18.0) y) z) t)

series159.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 18.0) y)
31.0ms	(* 27.0 (* k j))
33.0ms	(* (* (* x 18.0) y) z)
65.0ms	(* (* (* (* x 18.0) y) z) t)

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 2 (404.0ms)

Iter	Nodes	Cost
0	133	911
1	338	883
2	1652	677
done	5000	677

prune400.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes935.0ms

Accuracy

32.5% (2.8b remaining)

Error of 3.8b against oracle of 1.0b and baseline of 5.2b

bsearch415.0ms

Steps

Iters	Range		Point
7	10041403508320548.0	1.8511392904370698e+18	5.560949514311515e+16
9	-6.387355482749229e-73	-2.251692931929497e-82	-3.8528012138105515e-73

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	101
1	72	101
done	72	101

end0.0ms

sample6.0s

Algorithm

intervals

Results

3.8s

16170×

body

valid