Details

sample116.0ms

Algorithm

intervals

Results

58.0ms

499×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (6.0ms)

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize34.0ms

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)

rewrite337.0ms

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	(* (* j 27.0) k)
18.0ms	(* (* x 18.0) y)
227.0ms	(* (* (* (* x 18.0) y) z) t)
69.0ms	(* (* (* x 18.0) y) z)

series145.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* j 27.0) k)
24.0ms	(* (* x 18.0) y)
57.0ms	(* (* (* (* 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	137	914
1	371	884
2	3121	686
done	5001	678

prune527.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

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)

rewrite401.0ms

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:

24.0ms	(* j (* 27.0 k))
18.0ms	(* (* x 18.0) y)
258.0ms	(* (* (* (* x 18.0) y) z) t)
97.0ms	(* (* (* x 18.0) y) z)

series171.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* j (* 27.0 k))
32.0ms	(* (* x 18.0) y)
65.0ms	(* (* (* (* x 18.0) y) z) t)
42.0ms	(* (* (* x 18.0) y) z)

simplify2.8s

Counts

93 → 93

Iterations

Useful iterations: 2 (557.0ms)

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

prune537.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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)

rewrite422.0ms

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:

25.0ms	(* (* x 18.0) y)
33.0ms	(* 27.0 (* k j))
261.0ms	(* (* (* (* x 18.0) y) z) t)
100.0ms	(* (* (* x 18.0) y) z)

series187.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (* x 18.0) y)
33.0ms	(* 27.0 (* k j))
81.0ms	(* (* (* (* x 18.0) y) z) t)
39.0ms	(* (* (* x 18.0) y) z)

simplify2.5s

Counts

93 → 93

Iterations

Useful iterations: done (2.5s)

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

prune429.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))))

rewrite247.0ms

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:

57.0ms	(* 18.0 (* x (* z y)))
16.0ms	(* 27.0 (* k j))
16.0ms	(* x (* z y))
152.0ms	(* t (* 18.0 (* x (* z y))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* 18.0 (* x (* z y)))
21.0ms	(* 27.0 (* k j))
28.0ms	(* x (* z y))
75.0ms	(* t (* 18.0 (* x (* z y))))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: 2 (198.0ms)

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

prune555.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes1.2s

Accuracy

71.9% (1.7b remaining)

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

bsearch551.0ms

Steps

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

simplify27.0ms

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	60	124
1	89	116
2	91	116
done	91	116

end0.0ms

sample5.5s

Algorithm

intervals

Results

3.7s

15985×

body

valid