Details

sample116.0ms

Algorithm

intervals

Results

42.0ms	47×	body	1280	valid
23.0ms	40×	body	640	valid
18.0ms	140×	body	80	valid
7.0ms	17×	body	320	valid
3.0ms	12×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

20.0ms	(* x (sin y))
18.0ms	(* z (cos y))

series122.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* x (sin y))
59.0ms	(* z (cos y))

simplify2.5s

Counts

42 → 42

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	61	254
1	118	248
2	233	216
3	321	216
4	450	216
5	876	216
6	2315	216
done	5001	216

prune178.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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:

36.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))
3.0ms	(cbrt (cos y))

series697.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
138.0ms	(cbrt (cos y))
176.0ms	(cbrt (cos y))
144.0ms	(cbrt (cos y))

simplify6.3s

Counts

85 → 85

Iterations

Useful iterations: 4 (3.5s)

Iter	Nodes	Cost
0	64	686
1	122	615
2	336	521
3	1141	499
4	4928	492
done	5001	492

prune423.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite116.0ms

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:

27.0ms	(* z (pow (pow (cos y) 2) 1/3))
80.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
4.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series348.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* z (pow (pow (cos y) 2) 1/3))
48.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
25.0ms	(pow (cos y) 2)
140.0ms	(cbrt (cos y))

simplify4.2s

Counts

102 → 102

Iterations

Useful iterations: done (4.2s)

Iter	Nodes	Cost
0	133	1081
1	301	889
2	849	792
3	3619	728
done	5001	720

prune397.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (* z (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2))) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-exp-log`
86×	`prod-exp`
46×	`pow-exp`
24×	`pow-to-exp`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-cbrt-cube`
8×	`pow1`
6×	`cbrt-prod` `unpow-prod-down` `pow-unpow` `associate-r` `cbrt-unprod`
4×	`add-log-exp`
2×	`pow-pow` `unpow2` `sqr-pow`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 97

Calls

4 calls:

192.0ms	(* (* (* z (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2))) (cbrt (cos y)))
7.0ms	(pow (cos y) 2)
7.0ms	(pow (cos y) 2)
3.0ms	(cbrt (cos y))

series255.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* (* z (pow (pow (cos y) 2) 1/6)) (pow (pow (cos y) 2) (/ 1/3 2))) (cbrt (cos y)))
18.0ms	(pow (cos y) 2)
18.0ms	(pow (cos y) 2)
171.0ms	(cbrt (cos y))

simplify6.3s

Counts

109 → 109

Iterations

Useful iterations: 3 (2.5s)

Iter	Nodes	Cost
0	128	1704
1	329	1059
2	1012	888
3	4712	680
done	5001	680

prune370.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes174.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	20	24
done	20	24

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.2s	1536×	body	1280	valid
781.0ms	623×	body	320	valid
607.0ms	4329×	body	80	valid
508.0ms	1219×	body	640	valid
98.0ms	293×	body	160	valid