Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

342×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	7	5
2	10	5
done	10	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite39.0ms

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:

38.0ms

(* (* x 3.0) x)

series63.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(* (* x 3.0) x)

simplify4.7s

Counts

21 → 21

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	37	157
1	90	152
2	314	122
3	664	122
4	975	121
5	2720	121
done	5000	121

prune48.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3.0 (* x x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

18.0ms

(* 3.0 (* x x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* 3.0 (* x x))

simplify4.0s

Counts

22 → 22

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	34	162
1	78	159
2	209	129
3	468	129
4	677	129
5	1860	129
done	5001	129

prune40.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-l`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
7×	`sqrt-prod`
6×	`add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

93.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* x x)))
42.0ms	(* (sqrt 3.0) (* x x))

series212.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(* (sqrt 3.0) (* (sqrt 3.0) (* x x)))
90.0ms	(* (sqrt 3.0) (* x x))

simplify6.6s

Counts

53 → 53

Iterations

Useful iterations: 4 (4.4s)

Iter	Nodes	Cost
0	57	558
1	136	428
2	439	352
3	1306	350
4	4094	340
done	5000	340

prune92.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (sqrt 3.0)) (* x x))
0.2b	(* (sqrt 3.0) (* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) (* x x))))
0.2b	(* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) (* x x)))
1.0b	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

rewrite401.0ms

Algorithm

rewrite-expression-head

Rules

66×	`pow1`
61×	`add-exp-log`
48×	`cbrt-prod`
46×	`add-sqr-sqrt`
42×	`pow-prod-down`
41×	`prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
27×	`sqrt-prod`
25×	`associate-l`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r` `unswap-sqr`
11×	`swap-sqr`
6×	`pow1/3`
4×	`*-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 147

Calls

4 calls:

22.0ms	(* (cbrt (sqrt 3.0)) (* x x))
272.0ms	(* (sqrt 3.0) (* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) (* x x))))
82.0ms	(* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) (* x x)))
18.0ms	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

series498.0ms

Counts

4 → 10

Calls

4 calls:

342.0ms	(* (cbrt (sqrt 3.0)) (* x x))
96.0ms	(* (sqrt 3.0) (* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) (* x x))))
59.0ms	(* (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))) (* (cbrt (sqrt 3.0)) (* x x)))
0.0ms	(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

simplify1.5s

Counts

157 → 157

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	141	2428
1	309	2228
2	1293	1502
done	5001	1174

prune292.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes52.0ms

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

sample526.0ms

Algorithm

intervals

Results

311.0ms

10698×

body

valid