Details

sample58.0ms

Algorithm

intervals

Results

24.0ms	58×	body	1280	valid
13.0ms	50×	body	640	valid
7.0ms	120×	body	80	valid
2.0ms	14×	body	320	valid
2.0ms	14×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	12	8
2	15	8
done	15	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

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))

rewrite11.0ms

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`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 54

Calls

3 calls:

3.0ms	(+ (* x (cos y)) (* z (sin y)))
3.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series152.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ (* x (cos y)) (* z (sin y)))
37.0ms	(* x (cos y))
44.0ms	(* z (sin y))

simplify2.0s

Counts

63 → 63

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	87	494
1	194	449
2	477	417
3	1179	417
4	3049	417
done	5000	417

prune172.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite11.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `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 → 81

Calls

4 calls:

7.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series469.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
101.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))

simplify4.0s

Counts

93 → 93

Iterations

Useful iterations: 4 (2.2s)

Iter	Nodes	Cost
0	68	726
1	128	655
2	353	551
3	1301	529
4	4782	518
done	5000	518

prune288.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.4b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
6×	`unpow-prod-down` `associate-r` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `associate-l` `pow-exp` `*-commutative`

Counts

4 → 74

Calls

4 calls:

13.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (pow (cos y) 2))

series325.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
102.0ms	(cbrt (cos y))
165.0ms	(cbrt (pow (cos y) 2))

simplify2.7s

Counts

86 → 86

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	112	763
1	243	706
2	782	610
3	3465	590
done	5000	590

prune280.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (pow (pow (cos y) 2) 2/3))
0.3b	(cbrt (cbrt (pow (cos y) 2)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (pow (cos y) 2))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
17×	`unpow-prod-down`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`unpow2`

Counts

4 → 74

Calls

4 calls:

3.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
2.0ms	(cbrt (cbrt (pow (cos y) 2)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (pow (cos y) 2))

series530.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
120.0ms	(cbrt (cbrt (pow (cos y) 2)))
108.0ms	(cbrt (cos y))
165.0ms	(cbrt (pow (cos y) 2))

simplify3.2s

Counts

86 → 86

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	131	861
1	232	808
2	471	678
3	1037	663
4	4657	657
done	5000	657

prune398.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	24
1	24	24
done	24	24

end0.0ms

sample1.6s

Algorithm

intervals

Results

633.0ms	1494×	body	1280	valid
344.0ms	1305×	body	640	valid
280.0ms	4267×	body	80	valid
116.0ms	612×	body	320	valid
40.0ms	322×	body	160	valid