Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

335×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite33.0ms

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:

33.0ms

(* (* x 3.0) x)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (* x 3.0) x)

simplify790.0ms

Counts

21 → 21

Iterations

Useful iterations: done (789.0ms)

Iter	Nodes	Cost
0	37	157
1	98	152
2	712	128
done	5000	122

prune36.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3.0 (pow x 2))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `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:

26.0ms

(* 3.0 (pow x 2))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* 3.0 (pow x 2))

simplify3.4s

Counts

30 → 30

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	51	232
1	115	209
2	431	178
3	2950	176
done	5002	173

prune67.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
21×	`prod-exp`
18×	`add-sqr-sqrt`
9×	`associate-r` `add-cbrt-cube` `cbrt-unprod`
8×	`unswap-sqr`
7×	`pow1` `cbrt-prod` `associate-l`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`unpow-prod-down`
3×	`pow-to-exp` `pow-prod-down` `pow-exp` `unpow2` `sqr-pow`
2×	`*-commutative` `add-log-exp`

Counts

2 → 58

Calls

2 calls:

55.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
22.0ms	(* (cbrt 3.0) (pow x 2))

series190.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
78.0ms	(* (cbrt 3.0) (pow x 2))

simplify1.3s

Counts

64 → 64

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	84	761
1	225	696
2	1320	509
done	5001	431

prune101.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b

(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2))))

0.2b

(* (cbrt (cbrt 3.0)) (pow x 2))

0.2b

(* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2)))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

109×	`add-exp-log`
84×	`prod-exp`
40×	`cbrt-unprod`
29×	`pow1` `add-cbrt-cube`
26×	`add-sqr-sqrt`
21×	`cbrt-prod`
18×	`pow-prod-down`
12×	`unswap-sqr`
11×	`associate-l`
10×	`associate-r`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-to-exp` `pow-exp`
6×	`unpow-prod-down`
4×	`unpow2` `sqr-pow`
3×	`*-commutative` `add-log-exp`

Counts

3 → 109

Calls

3 calls:

206.0ms

(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2))))

20.0ms

(* (cbrt (cbrt 3.0)) (pow x 2))

74.0ms

(* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2)))

series610.0ms

Counts

3 → 9

Calls

3 calls:

143.0ms

(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2))))

404.0ms

(* (cbrt (cbrt 3.0)) (pow x 2))

63.0ms

(* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (pow x 2)))

simplify2.7s

Counts

118 → 118

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	137	2317
1	411	2126
2	2547	1376
done	5000	857

prune185.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes39.0ms

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

sample533.0ms

Algorithm

intervals

Results

269.0ms

10727×

body

valid