Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

342×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
2	9	5
done	9	5

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

6.0ms

(* (* x 3.0) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* (* x 3.0) x)

simplify3.8s

Counts

21 → 21

Iterations

Useful iterations: 4 (2.0s)

Iter	Nodes	Cost
0	37	157
1	90	152
2	349	122
3	1213	122
4	2811	121
done	5000	121

prune32.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (pow x 2) 3.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-l`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-r` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

9.0ms

(* (pow x 2) 3.0)

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (pow x 2) 3.0)

simplify3.5s

Counts

30 → 30

Iterations

Useful iterations: 3 (279.0ms)

Iter	Nodes	Cost
0	49	229
1	101	210
2	341	181
3	1082	177
4	4036	177
done	5000	177

prune56.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (pow x 2) (sqrt 3.0)) (sqrt 3.0))
0.3b	(* (pow x 2) (sqrt 3.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
17×	`add-exp-log`
12×	`associate-r`
10×	`prod-exp` `sqrt-prod`
9×	`associate-l` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
5×	`unpow-prod-down`
4×	`pow1` `cbrt-unprod`
3×	`unpow2` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 56

Calls

2 calls:

13.0ms	(* (* (pow x 2) (sqrt 3.0)) (sqrt 3.0))
7.0ms	(* (pow x 2) (sqrt 3.0))

series116.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(* (* (pow x 2) (sqrt 3.0)) (sqrt 3.0))
46.0ms	(* (pow x 2) (sqrt 3.0))

simplify2.1s

Counts

62 → 62

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	75	657
1	177	504
2	647	435
3	2189	435
done	5000	435

prune100.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
0.2b	(* (* (* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))) (sqrt 3.0))
0.3b	(* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
1.0b	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

rewrite241.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-exp-log`
50×	`prod-exp`
47×	`add-sqr-sqrt`
46×	`cbrt-prod`
26×	`sqrt-prod`
25×	`associate-r`
23×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube` `cbrt-unprod`
19×	`associate-l`
18×	`pow1`
13×	`unswap-sqr`
11×	`swap-sqr`
7×	`pow-prod-down`
6×	`pow-to-exp` `pow1/3` `pow-exp`
4×	`unpow-prod-down` `*-commutative` `add-log-exp`
2×	`pow2` `pow-sqr` `pow-prod-up` `unpow2` `sqr-pow`
1×	`pow-plus`

Counts

4 → 144

Calls

4 calls:

45.0ms	(* (* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
168.0ms	(* (* (* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))) (sqrt 3.0))
14.0ms	(* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
9.0ms	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

series419.0ms

Counts

4 → 10

Calls

4 calls:

54.0ms	(* (* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
77.0ms	(* (* (* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))) (sqrt 3.0))
287.0ms	(* (pow x 2) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
0.0ms	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

simplify910.0ms

Counts

154 → 154

Iterations

Useful iterations: 2 (237.0ms)

Iter	Nodes	Cost
0	153	2399
1	373	2131
2	1440	1608
done	5001	1608

prune295.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	6	5
done	6	5

end0.0ms

sample248.0ms

Algorithm

intervals

Results

141.0ms

10727×

body

valid