Details

sample126.0ms

Algorithm

intervals

Results

38.0ms	48×	body	1280	valid
34.0ms	46×	body	640	valid
14.0ms	128×	body	80	valid
10.0ms	26×	body	320	valid
2.0ms	8×	body	160	valid

simplify12.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (cos y))
0.2b	(* z (sin y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

7.0ms	(* x (cos y))
8.0ms	(* z (sin y))

series127.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* x (cos y))
70.0ms	(* z (sin y))

simplify3.2s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
4	4406
3	1472
2	377
1	126
0	61

prune313.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize58.0ms

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))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

22.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series720.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
177.0ms	(cbrt (cos y))
143.0ms	(cbrt (cos y))
137.0ms	(cbrt (cos y))

simplify1.2s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	622
1	146
0	64

prune640.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
17×	`add-sqr-sqrt`
15×	`pow1`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `associate-r` `prod-exp`
7×	`associate-l` `cbrt-unprod`
6×	`cbrt-prod`
4×	`add-log-exp`
3×	`swap-sqr` `pow-prod-down` `*-commutative`
2×	`pow-exp` `unswap-sqr`
1×	`pow2` `pow-to-exp` `sqr-cos` `pow-plus` `unpow1/3` `pow1/3` `pow-sqr` `cos-mult` `pow-prod-up`

Counts

4 → 80

Calls

4 calls:

14.0ms	(* z (sin y))
67.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
17.0ms	(* (cos y) (cos y))
2.0ms	(cbrt (cos y))

series325.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* z (sin y))
54.0ms	(* (* x (pow (* (cos y) (cos y)) 1/3)) (cbrt (cos y)))
36.0ms	(* (cos y) (cos y))
179.0ms	(cbrt (cos y))

simplify1.7s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	2181
1	349
0	134

prune655.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

6.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series720.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (* (cbrt (cos y)) (cbrt (cos y))))
147.0ms	(cbrt (cos y))
167.0ms	(cbrt (cos y))
201.0ms	(cbrt (cos y))

simplify855.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
3	1010
2	237
1	80
0	42

prune413.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes401.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	21
1	21
0	17

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.4s	1515×	body	1280	valid
1.1s	1236×	body	640	valid
570.0ms	4303×	body	80	valid
243.0ms	624×	body	320	valid
186.0ms	322×	body	160	valid