Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

340×

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) x)

rewrite46.0ms

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:

45.0ms

(* (* x 3.0) x)

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (* x 3.0) x)

simplify796.0ms

Counts

21 → 21

Iterations

Useful iterations: done (795.0ms)

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

prune56.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3.0 (pow x 2))

rewrite13.0ms

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:

12.0ms

(* 3.0 (pow x 2))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(* 3.0 (pow x 2))

simplify3.3s

Counts

30 → 30

Iterations

Useful iterations: done (3.3s)

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

prune66.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

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:

60.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
15.0ms	(* (cbrt 3.0) (pow x 2))

series206.0ms

Counts

2 → 6

Calls

2 calls:

129.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (pow x 2)))
76.0ms	(* (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

prune144.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (fabs x) (cbrt (sqrt 3.0)))
0.1b	(* (fabs x) (cbrt (sqrt 3.0)))
0.2b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (fabs x) (cbrt (sqrt 3.0))) (* (fabs x) (cbrt (sqrt 3.0)))))
0.4b	(* (* (fabs x) (cbrt (sqrt 3.0))) (* (fabs x) (cbrt (sqrt 3.0))))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

156×	`pow1`
81×	`pow-prod-down`
61×	`add-exp-log`
41×	`prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
20×	`associate-r`
18×	`pow-prod-up`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-plus` `pow-sqr`
8×	`associate-l` `sqrt-prod`
7×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`pow2`
1×	`swap-sqr`

Counts

4 → 144

Calls

4 calls:

11.0ms	(* (fabs x) (cbrt (sqrt 3.0)))
20.0ms	(* (fabs x) (cbrt (sqrt 3.0)))
165.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (fabs x) (cbrt (sqrt 3.0))) (* (fabs x) (cbrt (sqrt 3.0)))))
58.0ms	(* (* (fabs x) (cbrt (sqrt 3.0))) (* (fabs x) (cbrt (sqrt 3.0))))

series1.8s

Counts

4 → 12

Calls

4 calls:

433.0ms	(* (fabs x) (cbrt (sqrt 3.0)))
417.0ms	(* (fabs x) (cbrt (sqrt 3.0)))
557.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (fabs x) (cbrt (sqrt 3.0))) (* (fabs x) (cbrt (sqrt 3.0)))))
426.0ms	(* (* (fabs x) (cbrt (sqrt 3.0))) (* (fabs x) (cbrt (sqrt 3.0))))

simplify2.4s

Counts

156 → 156

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	115	2300
1	364	2056
2	2477	1492
done	5001	1458

prune323.0ms

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

sample502.0ms

Algorithm

intervals

Results

244.0ms

10769×

body

valid