Details

sample57.0ms

Algorithm

intervals

Results

18.0ms	32×	body	1280	valid
14.0ms	188×	body	80	valid
6.0ms	19×	body	640	valid
2.0ms	8×	body	320	valid
2.0ms	9×	body	160	valid

simplify14.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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 (sin y))
10.0ms	(* z (cos y))

series70.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (sin y))
43.0ms	(* z (cos y))

simplify1.8s

Counts

36 → 36

Iterations

Useful iterations: 2 (48.0ms)

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

prune117.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

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:

2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
2.0ms	(cbrt (cos y))
26.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

series554.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (cos y))
126.0ms	(cbrt (cos y))
107.0ms	(cbrt (cos y))
218.0ms	(* (cbrt (cos y)) (cbrt (cos y)))

simplify1.0s

Counts

85 → 85

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	64	686
1	146	615
2	626	521
done	5000	507

prune291.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (pow (pow (cos y) 2) 1/3))
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-l` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 90

Calls

4 calls:

37.0ms	(* z (pow (pow (cos y) 2) 1/3))
67.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
5.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))

series355.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* z (pow (pow (cos y) 2) 1/3))
58.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
25.0ms	(pow (cos y) 2)
151.0ms	(cbrt (cos y))

simplify1.1s

Counts

102 → 102

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	133	1081
1	360	898
2	1784	792
done	5001	774

prune374.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))
0.3b	(cbrt (pow (pow (cos y) 2) 2/3))
0.3b	(cbrt (pow (cos y) 2))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `pow1/3` `unpow2`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 65

Calls

4 calls:

5.0ms	(pow (cos y) 2)
2.0ms	(cbrt (cos y))
7.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
4.0ms	(cbrt (pow (cos y) 2))

series833.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(pow (cos y) 2)
139.0ms	(cbrt (cos y))
140.0ms	(cbrt (pow (pow (cos y) 2) 2/3))
532.0ms	(cbrt (pow (cos y) 2))

simplify2.5s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	119	705
1	266	616
2	943	535
3	3726	522
done	5000	522

prune339.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.1s	929×	body	1280	valid
701.0ms	5624×	body	80	valid
400.0ms	831×	body	640	valid
119.0ms	410×	body	320	valid
46.0ms	206×	body	160	valid