Details

sample75.0ms

Algorithm

intervals

Results

21.0ms	24×	body	1280	valid
17.0ms	188×	body	80	valid
11.0ms	23×	body	640	valid
4.0ms	15×	body	320	valid
1.0ms	6×	body	160	valid

simplify2.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	37	9
4	43	9
5	52	9
6	111	9
7	281	9
8	766	9
9	2120	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (cos y))
0.2b	(* z (sin y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

12.0ms	(+ x (cos y))
10.0ms	(* z (sin y))

series121.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ x (cos y))
77.0ms	(* z (sin y))

simplify2.2s

Counts

36 → 36

Iterations

Useful iterations: 3 (261.0ms)

Iter	Nodes	Cost
0	63	240
1	147	233
2	391	211
3	1255	209
4	3982	209
done	5001	209

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)

rewrite21.0ms

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:

13.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series1.1s

Counts

4 → 12

Calls

4 calls:

296.0ms	(* (cbrt z) (cbrt z))
279.0ms	(cbrt z)
284.0ms	(cbrt z)
214.0ms	(cbrt z)

simplify1.1s

Counts

85 → 85

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	61	524
1	139	417
2	735	397
done	5000	383

prune321.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

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)))

rewrite42.0ms

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:

26.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
5.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series735.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
185.0ms	(cbrt (* z (sin y)))
200.0ms	(cbrt (* z (sin y)))
155.0ms	(cbrt (* z (sin y)))

simplify570.0ms

Counts

70 → 70

Iterations

Useful iterations: done (568.0ms)

Iter	Nodes	Cost
0	87	790
1	213	713
2	863	630
done	5000	565

prune278.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

10.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series533.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(cbrt (* z (sin y)))
138.0ms	(cbrt (* z (sin y)))
130.0ms	(cbrt (* z (sin y)))
132.0ms	(cbrt (* z (sin y)))

simplify1.4s

Counts

48 → 48

Iterations

Useful iterations: 4 (481.0ms)

Iter	Nodes	Cost
0	41	452
1	79	448
2	174	404
3	571	352
4	2536	316
done	5000	316

prune270.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes124.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.0s	993×	body	1280	valid
596.0ms	5557×	body	80	valid
416.0ms	844×	body	640	valid
105.0ms	409×	body	320	valid
35.0ms	196×	body	160	valid
2.0ms	1×	body	2560	valid