Details

sample56.0ms

Algorithm

intervals

Results

17.0ms	32×	body	1280	valid
13.0ms	178×	body	80	valid
8.0ms	23×	body	640	valid
4.0ms	17×	body	320	valid
1.0ms	6×	body	160	valid

simplify2.0s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:

7.0ms	(+ x (cos y))
18.0ms	(* z (sin y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ x (cos y))
49.0ms	(* z (sin y))

simplify2.4s

Counts

36 → 36

Iterations

Useful iterations: 3 (318.0ms)

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

prune133.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))

rewrite44.0ms

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:

29.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
5.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series600.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
132.0ms	(cbrt (* z (sin y)))
126.0ms	(cbrt (* z (sin y)))
183.0ms	(cbrt (* z (sin y)))

simplify492.0ms

Counts

70 → 70

Iterations

Useful iterations: done (489.0ms)

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

prune315.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt z)
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))

rewrite12.0ms

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:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt z)
4.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series675.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (sin y))
229.0ms	(cbrt z)
163.0ms	(cbrt (* z (sin y)))
161.0ms	(cbrt (* z (sin y)))

simplify940.0ms

Counts

52 → 52

Iterations

Useful iterations: done (938.0ms)

Iter	Nodes	Cost
0	81	383
1	167	371
2	445	334
3	1572	298
done	5000	284

prune217.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt z)
0.6b	(cbrt z)
7.5b	(cbrt (* z (sin y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

2.0ms	(cbrt (sin y))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
4.0ms	(cbrt (* z (sin y)))

series805.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (sin y))
233.0ms	(cbrt z)
261.0ms	(cbrt z)
171.0ms	(cbrt (* z (sin y)))

simplify749.0ms

Counts

54 → 54

Iterations

Useful iterations: done (747.0ms)

Iter	Nodes	Cost
0	81	335
1	167	320
2	445	288
3	1572	264
done	5000	257

prune237.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample2.7s

Algorithm

intervals

Results

724.0ms	953×	body	1280	valid
667.0ms	791×	body	640	valid
651.0ms	5643×	body	80	valid
195.0ms	395×	body	320	valid
84.0ms	218×	body	160	valid