Details

sample114.0ms

Algorithm

intervals

Results

40.0ms	48×	body	1280	valid
25.0ms	46×	body	640	valid
15.0ms	128×	body	80	valid
10.0ms	26×	body	320	valid
2.0ms	8×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
1	11
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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	(* z (cos y))
9.0ms	(* x (sin y))

series96.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* z (cos y))
42.0ms	(* x (sin y))

simplify2.5s

Counts

42 → 42

Iterations

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

prune255.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cbrt (cos y)) z) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-r`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-l` `*-commutative`

Counts

4 → 54

Calls

4 calls:

20.0ms	(* (* (cbrt (cos y)) z) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series595.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (* (cbrt (cos y)) z) (cbrt (cos y)))
143.0ms	(cbrt (cos y))
132.0ms	(cbrt (cos y))
164.0ms	(cbrt (cos y))

simplify730.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
2	839
1	158
0	62

prune472.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series597.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (cos y))
147.0ms	(cbrt (cos y))
155.0ms	(cbrt (cos y))
158.0ms	(cbrt (cos y))

simplify3.6s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
4	4047
3	650
2	165
1	50
0	27

prune759.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series574.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (cos y))
145.0ms	(cbrt (cos y))
140.0ms	(cbrt (cos y))
152.0ms	(cbrt (cos y))

simplify3.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
4	4047
3	650
2	165
1	50
0	27

prune484.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes364.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.3s	1519×	body	1280	valid
1.0s	4297×	body	80	valid
561.0ms	1232×	body	640	valid
219.0ms	620×	body	320	valid
127.0ms	332×	body	160	valid