Details

sample90.0ms

Algorithm

intervals

Results

23.0ms	188×	body	80	valid
22.0ms	24×	body	1280	valid
16.0ms	24×	body	640	valid
6.0ms	14×	body	320	valid
2.0ms	6×	body	160	valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	19	9
3	21	9
done	21	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

14.0ms	(+ x (sin y))
19.0ms	(* z (cos y))

series101.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (sin y))
59.0ms	(* z (cos y))

simplify2.4s

Counts

36 → 36

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	56	232
1	130	225
2	336	201
3	1087	201
4	3365	201
done	5000	201

prune148.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)

rewrite33.0ms

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:

24.0ms	(* (cbrt z) (cbrt z))
2.0ms	(cbrt z)
2.0ms	(cbrt z)
2.0ms	(cbrt z)

series1.2s

Counts

4 → 12

Calls

4 calls:

324.0ms	(* (cbrt z) (cbrt z))
289.0ms	(cbrt z)
298.0ms	(cbrt z)
278.0ms	(cbrt z)

simplify1.2s

Counts

85 → 85

Iterations

Useful iterations: done (1.2s)

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

prune358.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt z) (cos y))
0.4b	(* (cbrt (* z z)) (* (cbrt z) (cos y)))
0.5b	(cbrt z)
30.9b	(cbrt (* z z))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

11.0ms	(* (cbrt z) (cos y))
44.0ms	(* (cbrt (* z z)) (* (cbrt z) (cos y)))
1.0ms	(cbrt z)
4.0ms	(cbrt (* z z))

series1.1s

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (cbrt z) (cos y))
72.0ms	(* (cbrt (* z z)) (* (cbrt z) (cos y)))
273.0ms	(cbrt z)
608.0ms	(cbrt (* z z))

simplify729.0ms

Counts

73 → 73

Iterations

Useful iterations: done (725.0ms)

Iter	Nodes	Cost
0	94	577
1	209	557
2	907	497
done	5000	483

prune280.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt (* z z)) (* (cbrt z) (cos y))))
30.9b	(cbrt (* z z))
30.9b	(cbrt (* z z))
30.9b	(cbrt (* z z))

rewrite56.0ms

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:

34.0ms	(cbrt (* (cbrt (* z z)) (* (cbrt z) (cos y))))
7.0ms	(cbrt (* z z))
7.0ms	(cbrt (* z z))
6.0ms	(cbrt (* z z))

series1.0s

Counts

4 → 12

Calls

4 calls:

230.0ms	(cbrt (* (cbrt (* z z)) (* (cbrt z) (cos y))))
240.0ms	(cbrt (* z z))
274.0ms	(cbrt (* z z))
277.0ms	(cbrt (* z z))

simplify2.8s

Counts

48 → 48

Iterations

Useful iterations: 4 (931.0ms)

Iter	Nodes	Cost
0	53	370
1	101	367
2	251	320
3	925	306
4	4939	299
done	5000	299

prune375.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes160.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.0s	991×	body	1280	valid
737.0ms	5554×	body	80	valid
396.0ms	848×	body	640	valid
237.0ms	402×	body	320	valid
42.0ms	205×	body	160	valid