Details

sample92.0ms

Algorithm

intervals

Results

31.0ms	47×	body	1280	valid
21.0ms	40×	body	640	valid
13.0ms	140×	body	80	valid
5.0ms	17×	body	320	valid
3.0ms	12×	body	160	valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

16.0ms	(* x (sin y))
17.0ms	(* z (cos y))

series110.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* x (sin y))
62.0ms	(* z (cos y))

simplify2.3s

Counts

46 → 46

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	65	274
1	122	268
2	238	236
3	326	236
4	455	236
5	875	236
6	2313	236
done	5001	236

prune194.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite20.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

14.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series722.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
153.0ms	(cbrt (cos y))
153.0ms	(cbrt (cos y))
173.0ms	(cbrt (cos y))

simplify2.8s

Counts

93 → 93

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	68	726
1	128	651
2	353	551
3	1189	529
done	5000	520

prune501.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite162.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 98

Calls

4 calls:

50.0ms	(* z (pow (pow (cos y) 2) 1/3))
97.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series386.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(* z (pow (pow (cos y) 2) 1/3))
69.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
27.0ms	(pow (cos y) 2)
142.0ms	(cbrt (cos y))

simplify4.0s

Counts

110 → 110

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	141	1143
1	310	945
2	874	842
3	3706	778
done	5000	769

prune560.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* z (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-exp-log`
86×	`prod-exp`
46×	`pow-exp`
24×	`pow-to-exp`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
8×	`pow1`
6×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow-pow` `unpow2` `sqr-pow`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 105

Calls

4 calls:

225.0ms	(* (* (* z (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2))) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
4.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series291.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (* (* z (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2))) (cbrt (cos y)))
36.0ms	(pow (cos y) 2)
32.0ms	(pow (cos y) 2)
169.0ms	(cbrt (cos y))

simplify5.6s

Counts

117 → 117

Iterations

Useful iterations: done (5.6s)

Iter	Nodes	Cost
0	134	1776
1	339	1110
2	1029	937
3	4782	729
done	5000	728

prune453.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes189.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	20	24
done	20	24

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.6s	1536×	body	1280	valid
750.0ms	1219×	body	640	valid
638.0ms	623×	body	320	valid
576.0ms	4329×	body	80	valid
67.0ms	293×	body	160	valid