Details

sample139.0ms

Algorithm

intervals

Results

63.0ms	49×	body	1280	valid
30.0ms	49×	body	640	valid
16.0ms	126×	body	80	valid
9.0ms	20×	body	320	valid
3.0ms	12×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune11.0ms

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))

rewrite39.0ms

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:

18.0ms	(* z (sin y))
19.0ms	(* x (cos y))

series160.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* z (sin y))
92.0ms	(* x (cos y))

simplify2.5s

Counts

46 → 46

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	66	274
1	122	268
2	237	236
3	323	236
4	452	236
5	870	236
6	2305	236
done	5000	236

prune173.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite28.0ms

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:

18.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series724.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
160.0ms	(cbrt (cos y))
151.0ms	(cbrt (cos y))
176.0ms	(cbrt (cos y))

simplify2.9s

Counts

93 → 93

Iterations

Useful iterations: done (2.9s)

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

prune408.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
13×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
9×	`pow1` `associate-r`
6×	`cbrt-prod` `cbrt-unprod`
5×	`pow-exp`
4×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `unpow-prod-down` `pow-unpow`
2×	`pow-prod-down` `*-commutative`
1×	`pow-pow` `unpow1/3` `pow1/3` `unpow2` `unswap-sqr` `sqr-pow`

Counts

4 → 80

Calls

4 calls:

10.0ms	(* z (sin y))
48.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series227.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* z (sin y))
48.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
115.0ms	(cbrt (cos y))

simplify3.4s

Counts

92 → 92

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	134	813
1	297	708
2	866	632
3	3395	571
done	5000	562

prune413.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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)

rewrite79.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 74

Calls

4 calls:

65.0ms	(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
4.0ms	(cbrt (pow (cos y) 6))
6.0ms	(pow (cos y) 6)

series284.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (* x (pow (cbrt (pow (cos y) 6)) 1/3)) (cbrt (cos y)))
158.0ms	(cbrt (cos y))
21.0ms	(cbrt (pow (cos y) 6))
45.0ms	(pow (cos y) 6)

simplify3.6s

Counts

86 → 86

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	120	857
1	265	762
2	819	670
3	3577	657
done	5001	656

prune497.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes180.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	18
1	19	18
done	19	18

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.3s	1491×	body	1280	valid
1.2s	1231×	body	640	valid
1.1s	4313×	body	80	valid
207.0ms	653×	body	320	valid
65.0ms	312×	body	160	valid