Details

sample147.0ms

Algorithm

intervals

Results

47.0ms	39×	body	1280	valid
41.0ms	152×	body	80	valid
33.0ms	41×	body	640	valid
10.0ms	18×	body	320	valid
3.0ms	6×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
2	19
1	12
0	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`insert-posit16`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 51

Calls

3 calls:

11.0ms	(- (* x (cos y)) (* z (sin y)))
21.0ms	(* x (cos y))
12.0ms	(* z (sin y))

series187.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- (* x (cos y)) (* z (sin y)))
53.0ms	(* x (cos y))
46.0ms	(* z (sin y))

simplify2.2s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	1329
2	422
1	182
0	83

prune365.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

19.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))

series648.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
125.0ms	(cbrt (cos y))
122.0ms	(cbrt (cos y))
146.0ms	(cbrt (cos y))

simplify4.0s

Counts

89 → 89

Iterations

Iter	Nodes
done	5012
4	4963
3	1192
2	354
1	145
0	66

prune446.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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 (cbrt (cos y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `add-log-exp`

Counts

4 → 51

Calls

4 calls:

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

series567.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(cbrt (cos y))
141.0ms	(cbrt (cos y))
125.0ms	(cbrt (cos y))
157.0ms	(cbrt (cbrt (cos y)))

simplify2.7s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
5	4189
4	1220
3	431
2	158
1	82
0	48

prune424.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))
0.7b	(cbrt (sin y))

rewrite26.0ms

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` `insert-posit16` `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 → 77

Calls

4 calls:

13.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
8.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series560.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
154.0ms	(cbrt (sin y))
131.0ms	(cbrt (sin y))
124.0ms	(cbrt (sin y))

simplify2.0s

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
3	1407
2	456
1	176
0	77

prune437.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes382.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample5.3s

Algorithm

intervals

Results

1.7s	1393×	body	1280	valid
1.4s	1245×	body	640	valid
1.3s	4412×	body	80	valid
455.0ms	635×	body	320	valid
175.0ms	315×	body	160	valid