Details

sample85.0ms

Algorithm

intervals

Results

25.0ms	45×	body	1280	valid
17.0ms	123×	body	80	valid
16.0ms	45×	body	640	valid
7.0ms	30×	body	320	valid
2.0ms	13×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
done	19	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* x (cos y))
0.2b	(* z (sin y))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 48

Calls

3 calls:

37.0ms	(- (* x (cos y)) (* z (sin y)))
14.0ms	(* x (cos y))
20.0ms	(* z (sin y))

series190.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(- (* x (cos y)) (* z (sin y)))
56.0ms	(* x (cos y))
47.0ms	(* z (sin y))

simplify2.5s

Counts

57 → 57

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	82	464
1	175	436
2	392	402
3	937	402
4	2101	402
done	5001	402

prune260.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite22.0ms

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×	`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:

16.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series640.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
166.0ms	(cbrt (sin y))
162.0ms	(cbrt (sin y))
157.0ms	(cbrt (sin y))

simplify3.1s

Counts

85 → 85

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	75	710
1	156	628
2	405	534
3	1260	512
done	5001	507

prune382.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

37.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.0ms	(cbrt (* z (sin y)))
9.0ms	(cbrt (* z (sin y)))
9.0ms	(cbrt (* z (sin y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
202.0ms	(cbrt (* z (sin y)))
198.0ms	(cbrt (* z (sin y)))
532.0ms	(cbrt (* z (sin y)))

simplify3.5s

Counts

70 → 70

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	87	790
1	189	713
2	460	629
3	1192	540
4	3815	482
done	5001	448

prune380.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt z)
6.4b	(cbrt (* z (sin y)))
6.4b	(cbrt (* z (sin y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

3.0ms	(cbrt (sin y))
2.0ms	(cbrt z)
9.0ms	(cbrt (* z (sin y)))
9.0ms	(cbrt (* z (sin y)))

series771.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (sin y))
284.0ms	(cbrt z)
182.0ms	(cbrt (* z (sin y)))
166.0ms	(cbrt (* z (sin y)))

simplify1.9s

Counts

52 → 52

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	81	383
1	161	371
2	328	334
3	775	298
4	2465	284
done	5002	281

prune293.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes258.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	23
1	19	23
done	19	23

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.4s	1519×	body	1280	valid
1.0s	4369×	body	80	valid
899.0ms	1197×	body	640	valid
295.0ms	600×	body	320	valid
131.0ms	315×	body	160	valid