Details

sample95.0ms

Algorithm

intervals

Results

45.0ms

499×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	28	31
1	66	29
2	201	29
3	616	29
4	1722	29
done	5000	29

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
4.5b	(* (* (* (* x 18.0) y) z) t)
5.6b	(* (* (* x 18.0) y) z)

rewrite389.0ms

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	(* (* j 27.0) k)
21.0ms	(* (* x 18.0) y)
279.0ms	(* (* (* (* x 18.0) y) z) t)
66.0ms	(* (* (* x 18.0) y) z)

series123.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* j 27.0) k)
21.0ms	(* (* x 18.0) y)
50.0ms	(* (* (* (* x 18.0) y) z) t)
31.0ms	(* (* (* x 18.0) y) z)

simplify2.8s

Counts

93 → 93

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	137	914
1	371	884
2	3121	686
done	5001	678

prune346.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
4.5b	(* (* (* (* x 18.0) y) z) t)
5.6b	(* (* (* x 18.0) y) z)

rewrite338.0ms

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:

17.0ms	(* j (* 27.0 k))
18.0ms	(* (* x 18.0) y)
223.0ms	(* (* (* (* x 18.0) y) z) t)
74.0ms	(* (* (* x 18.0) y) z)

series129.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* j (* 27.0 k))
24.0ms	(* (* x 18.0) y)
49.0ms	(* (* (* (* x 18.0) y) z) t)
30.0ms	(* (* (* x 18.0) y) z)

simplify2.4s

Counts

93 → 93

Iterations

Useful iterations: 2 (405.0ms)

Iter	Nodes	Cost
0	135	911
1	359	883
2	2802	707
done	5000	707

prune523.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* 27.0 (* k j))
4.5b	(* (* (* (* x 18.0) y) z) t)
5.6b	(* (* (* x 18.0) y) z)

rewrite385.0ms

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:

26.0ms	(* (* x 18.0) y)
25.0ms	(* 27.0 (* k j))
271.0ms	(* (* (* (* x 18.0) y) z) t)
59.0ms	(* (* (* x 18.0) y) z)

series137.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
22.0ms	(* 27.0 (* k j))
58.0ms	(* (* (* (* x 18.0) y) z) t)
34.0ms	(* (* (* x 18.0) y) z)

simplify3.0s

Counts

93 → 93

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	133	911
1	354	883
2	2766	707
done	5001	695

prune392.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* x (* z y)))
0.2b	(* 27.0 (* k j))
3.2b	(* x (* z y))
4.5b	(* t (* 18.0 (* x (* z y))))

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-l`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

64.0ms	(* 18.0 (* x (* z y)))
27.0ms	(* 27.0 (* k j))
26.0ms	(* x (* z y))
179.0ms	(* t (* 18.0 (* x (* z y))))

series172.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* 18.0 (* x (* z y)))
30.0ms	(* 27.0 (* k j))
28.0ms	(* x (* z y))
68.0ms	(* t (* 18.0 (* x (* z y))))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: 2 (217.0ms)

Iter	Nodes	Cost
0	121	898
1	309	876
2	1315	670
done	5001	670

prune434.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

71.9% (1.7b remaining)

Error of 1.9b against oracle of 0.2b and baseline of 6.2b

bsearch382.0ms

Steps

Iters	Range		Point
8	1.4047766009395568e-08	5.4083717359814255e-05	1.78677717120485e-06
8	-5.0233348006031225e+40	-1.1165988221874661e+36	-1.8869685775798424e+40

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	60	124
1	87	116
done	87	116

end0.0ms

sample4.4s

Algorithm

intervals

Results

2.8s

15985×

body

valid