Details

sample57.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
16.0ms	54×	body	640	valid
7.0ms	127×	body	80	valid
2.0ms	14×	body	320	valid
2.0ms	15×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (sin y)) (* z (cos y)))
0.1b	(* x (sin y))
0.1b	(* z (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

3.0ms	(+ (* x (sin y)) (* z (cos y)))
4.0ms	(* x (sin y))
4.0ms	(* z (cos y))

series168.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ (* x (sin y)) (* z (cos y)))
42.0ms	(* x (sin y))
43.0ms	(* z (cos y))

simplify1.5s

Counts

56 → 56

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	82	458
1	184	430
2	433	396
3	961	396
4	2247	396
done	5000	396

prune170.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite12.0ms

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:

7.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series453.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
108.0ms	(cbrt (sin y))
108.0ms	(cbrt (sin y))
112.0ms	(cbrt (sin y))

simplify3.3s

Counts

85 → 85

Iterations

Useful iterations: 4 (1.2s)

Iter	Nodes	Cost
0	75	710
1	156	628
2	408	534
3	1332	512
4	4355	505
done	5000	505

prune254.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
7.0b	(cbrt (* x (sin y)))
7.0b	(cbrt (* x (sin y)))
7.0b	(cbrt (* x (sin y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))

series523.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(* (cbrt (* x (sin y))) (cbrt (* x (sin y))))
123.0ms	(cbrt (* x (sin y)))
127.0ms	(cbrt (* x (sin y)))
120.0ms	(cbrt (* x (sin y)))

simplify2.1s

Counts

70 → 70

Iterations

Useful iterations: 4 (954.0ms)

Iter	Nodes	Cost
0	87	790
1	189	713
2	479	633
3	1442	536
4	4793	494
done	5000	494

prune261.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

7.0b	(cbrt (* x (sin y)))
7.0b	(cbrt (* x (sin y)))
7.0b	(cbrt (* x (sin y)))
7.0b	(cbrt (* x (sin y)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))
2.0ms	(cbrt (* x (sin y)))

series692.0ms

Counts

4 → 12

Calls

4 calls:

308.0ms	(cbrt (* x (sin y)))
127.0ms	(cbrt (* x (sin y)))
131.0ms	(cbrt (* x (sin y)))
125.0ms	(cbrt (* x (sin y)))

simplify779.0ms

Counts

48 → 48

Iterations

Useful iterations: 4 (213.0ms)

Iter	Nodes	Cost
0	41	452
1	79	448
2	154	404
3	436	352
4	1655	316
done	5000	316

prune193.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	15	22
done	15	22

end0.0ms

sample1.6s

Algorithm

intervals

Results

641.0ms	1514×	body	1280	valid
346.0ms	1281×	body	640	valid
234.0ms	4292×	body	80	valid
115.0ms	605×	body	320	valid
38.0ms	308×	body	160	valid