Details

sample169.0ms

Algorithm

intervals

Results

88.0ms

519×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (13.0ms)

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: 4.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* j 27.0) k)
0.4b	(* (* x 18.0) y)
3.5b	(* (* (* x 18.0) y) z)
5.6b	(* (* (* (* x 18.0) y) z) t)

rewrite348.0ms

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:

23.0ms	(* (* j 27.0) k)
17.0ms	(* (* x 18.0) y)
54.0ms	(* (* (* x 18.0) y) z)
247.0ms	(* (* (* (* x 18.0) y) z) t)

series143.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* j 27.0) k)
22.0ms	(* (* x 18.0) y)
31.0ms	(* (* (* x 18.0) y) z)
71.0ms	(* (* (* (* x 18.0) y) z) t)

simplify3.1s

Counts

93 → 93

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	137	914
1	371	884
2	3141	722
done	5000	718

prune562.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.8b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* y 18.0))
0.3b	(* (* j 27.0) k)
3.5b	(* (* x (* y 18.0)) z)
5.6b	(* (* (* x (* y 18.0)) z) t)

rewrite333.0ms

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:

16.0ms	(* x (* y 18.0))
20.0ms	(* (* j 27.0) k)
77.0ms	(* (* x (* y 18.0)) z)
217.0ms	(* (* (* x (* y 18.0)) z) t)

series152.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* x (* y 18.0))
19.0ms	(* (* j 27.0) k)
37.0ms	(* (* x (* y 18.0)) z)
61.0ms	(* (* (* x (* y 18.0)) z) t)

simplify2.1s

Counts

93 → 93

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	134	913
1	362	885
2	2477	693
done	5001	683

prune428.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* j 27.0) k)
0.3b	(* 18.0 (* x y))
3.5b	(* z (* 18.0 (* x y)))
5.6b	(* (* z (* 18.0 (* x y))) t)

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

19.0ms	(* (* j 27.0) k)
16.0ms	(* 18.0 (* x y))
42.0ms	(* z (* 18.0 (* x y)))
169.0ms	(* (* z (* 18.0 (* x y))) t)

series143.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* j 27.0) k)
25.0ms	(* 18.0 (* x y))
35.0ms	(* z (* 18.0 (* x y)))
52.0ms	(* (* z (* 18.0 (* x y))) t)

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	131	912
1	351	886
2	2018	700
done	5000	680

prune489.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.8b

localize58.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.4b	(* (* x 18.0) y)
3.5b	(* (* (* x 18.0) y) z)
5.6b	(* (* (* (* x 18.0) y) z) t)

rewrite278.0ms

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:

16.0ms	(* j (* 27.0 k))
17.0ms	(* (* x 18.0) y)
55.0ms	(* (* (* x 18.0) y) z)
187.0ms	(* (* (* (* x 18.0) y) z) t)

series121.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* j (* 27.0 k))
21.0ms	(* (* x 18.0) y)
29.0ms	(* (* (* x 18.0) y) z)
52.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.7s

Counts

93 → 93

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	135	911
1	359	883
2	2788	715
done	5001	713

prune560.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.8b

regimes1.1s

Accuracy

31.5% (3.3b remaining)

Error of 4.0b against oracle of 0.7b and baseline of 5.5b

bsearch405.0ms

Steps

Iters	Range		Point
7	4.3511264724805166e-64	5.4873591195100445e-62	4.339340101075433e-63
10	-1.1793351489066978e-177	-1.6636412691945788e-189	-4.80252135313659e-178

simplify11.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	51	101
1	74	101
done	74	101

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.1s

16342×

body

valid