Details

sample51.0ms

Algorithm

intervals

Results

16.0ms	41×	body	1280	valid
10.0ms	39×	body	640	valid
8.0ms	151×	body	80	valid
3.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	19	9
done	19	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

9.0ms	(* z (sin y))
9.0ms	(* x (cos y))

series80.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* z (sin y))
38.0ms	(* x (cos y))

simplify1.7s

Counts

42 → 42

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	62	254
1	118	248
2	233	216
3	316	216
4	445	216
5	863	216
6	2305	216
done	5000	216

prune103.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite21.0ms

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:

15.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series449.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
96.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))

simplify3.9s

Counts

85 → 85

Iterations

Useful iterations: 4 (2.1s)

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

prune235.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

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:

25.0ms	(* x (pow (pow (cos y) 2) 1/3))
38.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
6.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series256.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* x (pow (pow (cos y) 2) 1/3))
37.0ms	(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms	(pow (cos y) 2)
102.0ms	(cbrt (cos y))

simplify2.6s

Counts

102 → 102

Iterations

Useful iterations: done (2.5s)

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

prune279.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (cos y)) (cbrt (pow (cos y) 2)))
0.2b	(pow (cos y) 2)
0.2b	(cbrt (pow (cos y) 2))
0.3b	(cbrt (cos y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
30×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`unpow-prod-down` `associate-r`
10×	`unswap-sqr`
7×	`pow1` `add-exp-log`
6×	`associate-l` `unpow2`
5×	`sqr-pow`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-prod-down`
1×	`pow-to-exp` `pow-pow` `cube-unmult` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

19.0ms	(* (cbrt (cos y)) (cbrt (pow (cos y) 2)))
3.0ms	(pow (cos y) 2)
2.0ms	(cbrt (pow (cos y) 2))
5.0ms	(cbrt (cos y))

series284.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (pow (cos y) 2)))
17.0ms	(pow (cos y) 2)
164.0ms	(cbrt (pow (cos y) 2))
97.0ms	(cbrt (cos y))

simplify1.3s

Counts

97 → 97

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	113	942
1	218	859
2	582	746
3	2022	727
done	5001	709

prune274.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes107.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	17	17
done	17	17

end0.0ms

sample1.6s

Algorithm

intervals

Results

616.0ms	1502×	body	1280	valid
315.0ms	1242×	body	640	valid
236.0ms	4293×	body	80	valid
114.0ms	644×	body	320	valid
38.0ms	319×	body	160	valid