Details

sample141.0ms

Algorithm

intervals

Results

45.0ms	40×	body	640	valid
45.0ms	47×	body	1280	valid
18.0ms	140×	body	80	valid
7.0ms	17×	body	320	valid
3.0ms	12×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b	(* z (sin y))
0.1b	(* x (cos y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

20.0ms	(* z (sin y))
18.0ms	(* x (cos y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* z (sin y))
51.0ms	(* x (cos y))

simplify2.1s

Counts

42 → 42

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	62	254
1	118	248
2	233	216
3	316	216
4	445	216
5	863	216
6	2305	216
done	5000	216

prune177.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

15.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series584.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
102.0ms	(cbrt (cos y))
155.0ms	(cbrt (cos y))
143.0ms	(cbrt (cos y))

simplify5.6s

Counts

85 → 85

Iterations

Useful iterations: 4 (2.9s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune415.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (pow (pow (cos y) 2) 1/3))
0.2b	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-l` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 90

Calls

4 calls:

46.0ms	(* x (pow (pow (cos y) 2) 1/3))
65.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series407.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* x (pow (pow (cos y) 2) 1/3))
67.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
25.0ms	(pow (cos y) 2)
139.0ms	(cbrt (cos y))

simplify4.2s

Counts

102 → 102

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	133	1081
1	301	889
2	849	792
3	3619	728
done	5001	720

prune499.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (cos y) 6))
0.6b	(pow (cos y) 6)

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-exp-log`
13×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
7×	`pow1` `prod-exp`
6×	`unpow-prod-down` `associate-r`
5×	`cbrt-unprod`
4×	`add-log-exp`
3×	`pow-unpow`
2×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`
1×	`pow-pow` `unpow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 66

Calls

4 calls:

72.0ms	(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
2.0ms	(cbrt (pow (cos y) 6))
4.0ms	(pow (cos y) 6)

series255.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
143.0ms	(cbrt (cos y))
21.0ms	(cbrt (pow (cos y) 6))
46.0ms	(pow (cos y) 6)

simplify4.5s

Counts

78 → 78

Iterations

Useful iterations: 3 (1.9s)

Iter	Nodes	Cost
0	112	799
1	254	709
2	792	617
3	3497	605
done	5001	605

prune379.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes194.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	22	21
done	22	21

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.4s	1531×	body	1280	valid
1.1s	1227×	body	640	valid
829.0ms	4330×	body	80	valid
209.0ms	619×	body	320	valid
142.0ms	293×	body	160	valid